Adaptivity

Tools for error estimation and local mesh refinement. More...

Modules
	Refinement Criteria
	Tools for selecting cells for refinement.

Namespaces
namespace	Kaskade::FunctionViews
	Namespace of views on a FunctionSpaceElement Views on Function SpaceElements can be used in a restricted sense like FunctionSpaceElements. The idea is to transform a given function to another function while evaluating it at a certain point. Such a view has provide certain functionality:

Classes
class	Kaskade::FunctionViews::Difference< Function1, Function2 >
class	Kaskade::LocalIntegral< Space >
	Create a CellData by computing local integrals over each Cell. More...
class	Kaskade::HigherOrderRecovery< Grid, Space >
	Construct a higher order estimate for the finite element solution from gradient information. More...
struct	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::DomainCache
struct	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::BoundaryCache
struct	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::D2< row, col >
struct	Kaskade::EstimatorDescription< Id, PDEId, SpaceId, components >
struct	Kaskade::SystDim< dim >
struct	Kaskade::SystDimFull< dim >
struct	Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >
struct	Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >
struct	Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >
struct	Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >
struct	Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >
struct	Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >
struct	Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >
struct	Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >
struct	Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >
struct	Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >
struct	Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >
struct	Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >
struct	Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >
struct	Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >
class	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >
	Obtain an error function by solving local Neumann problems in the flavour of Bank/Weiser. More...
class	Kaskade::CellData< Grd, T >
	Class that stores information for each cell of a grid. More...
class	Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >
	Embedded error estimation and mesh refinement. More...
class	Kaskade::HierarchicErrorEstimator< LinearFunctional, ExtensionAnsatzVariables, ExtensionTestVariables, D2BlockInfo >
	Defines assembly of hierarchically extended problems for defining DLY style error estimators. More...

Typedefs
typedef Function1::Space	Kaskade::FunctionViews::Difference< Function1, Function2 >::Space
typedef Function1::ValueType	Kaskade::FunctionViews::Difference< Function1, Function2 >::ValueType
typedef Function1::DerivativeType	Kaskade::FunctionViews::Difference< Function1, Function2 >::DerivativeType
typedef Function1::Scalar	Kaskade::FunctionViews::Difference< Function1, Function2 >::Scalar
typedef DiscontSpace	Kaskade::HigherOrderRecovery< Grid, Space >::ErrorGradientFunctionSpace
typedef Space	Kaskade::HigherOrderRecovery< Grid, Space >::ErrorFunctionSpace
typedef ErrorGradientFunctionSpace::template Element< Grid::dimension >::type	Kaskade::HigherOrderRecovery< Grid, Space >::ErrorGradientFunction
typedef ErrorFunctionSpace::template Element< 1 >::type	Kaskade::HigherOrderRecovery< Grid, Space >::ErrorFunction
typedef RType	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::RT
typedef Variables	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::TestVars
typedef Variables	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::AnsatzVars
typedef FEFunctionSpace< DiscontinuousLagrangeMapper< double, Grid > >	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::RecoverySpace
typedef boost::fusion::vector< RecoverySpace const * >	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::RecoverySpaces
typedef VariableSetDescription< RecoverySpaces, Description >	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::RecoveryVariableSet
typedef RecoveryVariableSet::VariableSet	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::RecoveryRepresentation
typedef FEFunctionSpace< ContinuousLagrangeMapper< double, Grid > >	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::ContRecoverySpace
typedef boost::fusion::vector< ContRecoverySpace const * >	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::ContRecoverySpaces
typedef VariableSetDescription< ContRecoverySpaces, Description >	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::ContRecoveryVariableSet
typedef ContRecoveryVariableSet::VariableSet	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::ContRecoveryRepresentation
typedef GridManager< typename VariableSetDescription::Grid >	Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::GManager
typedef EmbeddedErrorEstimator< VariableSetDescription, Scaling >	Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::Self

Functions
template<class SFS >
int	Kaskade::FunctionViews::Difference< Function1, Function2 >::order (SFS const &sfs) const
Space const &	Kaskade::FunctionViews::Difference< Function1, Function2 >::space () const
	Kaskade::FunctionViews::Difference< Function1, Function2 >::Difference (Function1 const &f1_, Function2 const &f2_)
ValueType	Kaskade::FunctionViews::Difference< Function1, Function2 >::value (typename Function1::Space::Evaluator eval) const
template<class EPtr , class V >
ValueType	Kaskade::FunctionViews::Difference< Function1, Function2 >::value (EPtr const &ci, V const &v) const
DerivativeType	Kaskade::FunctionViews::Difference< Function1, Function2 >::derivative (typename Function1::Space::Evaluator eval) const
void	Kaskade::LocalIntegral< Space >::LocalIntegrator::operator() (typename Cell::Entity const &ci, QuadPoint const &q, ValueType v)
CellData< Grid, ValueType >::CellDataVector &	Kaskade::LocalIntegral< Space >::LocalIntegrator::getLocalIntegral ()
template<typename Function >
CellData< Grid, ValueType >::CellDataVector	Kaskade::LocalIntegral< Space >::operator() (Function f, Space s)
	Perform local integration for WeakFunctionViews (less efficient) More...
template<typename Function >
CellData< Grid, ValueType >::CellDataVector	Kaskade::LocalIntegral< Space >::operator() (Function f)
	Perform local integration for FunctionSpaceElement or FunctionViews (more efficient) More...
template<class Function >
CellData< typenameFunction::Space::Grid, typenameFunction::ValueType >::CellDataVector	Kaskade::gradientAveraging (Function const &f)
	Perform gradient averaging in order to construct an error estimator. More...
template<class GradientError , class Function >
void	Kaskade::gradientAveraging (GradientError &dx, Function const &x)
	Perform gradient averaging in order to construct a representation of the gradient error. More...
template<class Function >
CellData< typenameFunction::Space::Grid, typenameFunction::ValueType >::CellDataVector	Kaskade::lowOrderInterpolation (Function const &f)
	Perform lower order interpolation in order to construct an error estimator. More...
template<class Arg >
bool	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::inDomain (Arg const &a) const
	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::HigherOrderRecoveryFunctional (ErrorGradientFunction const &x_)
	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::DomainCache::DomainCache (ErrorGradientFunction const &u_)
template<class Position , class Evaluators >
void	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::DomainCache::evaluateAt (Position const &x, Evaluators const &evaluators)
RT	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::DomainCache::d0 () const
template<int row, int dim>
Dune::FieldVector< RT, 1 >	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::DomainCache::d1 (VariationalArg< RT, dim > const &arg) const
template<int row, int col, int dim>
Dune::FieldMatrix< RT, 1, 1 >	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::DomainCache::d2 (VariationalArg< RT, dim > const &arg1, VariationalArg< RT, dim > const &arg2) const
DomainCache	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::createDomainCache (int flags=7) const
BoundaryCache	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::createBoundaryCache (int flags=7) const
template<class Cell >
int	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::integrationOrder (Cell const &, int shapeFunctionOrder, bool boundary) const
void	Kaskade::HigherOrderRecovery< Grid, Space >::getErrorFunction (ErrorFunction &ex, ErrorGradientFunction const &gex)
	Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::HalfGradientJump (LocalInd &localInd_, Dune::FieldVector< RT, dim >const &outernormal, Cache const &cache_, Cache const &cacheNeigh_, Evaluators const &evaluators_)
template<class Variable >
void	Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::operator() (Variable const &) const
	Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::StrongBoundaryValues (LocalInd &localInd_, RT &integrationElement, Dune::FieldVector< RT, dim >const &outernormal, Cache const &cache_, BoundaryCache const &cacheBoundary_, Evaluators const &evaluators_)
template<class Variable >
void	Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator() (Variable const &) const
	Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::WeakResiduum (LocalRHS &localRHS_, RT intEl_, Cache const &cache_, Evaluators const &evaluators_)
template<class Variable >
void	Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::operator() (Variable const &) const
	Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::WeakResiduumMainPart (LocalRHS &localRHS_, RT intEl_, Cache const &cache_, Evaluators const &evaluators_)
template<class Variable >
void	Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::operator() (Variable const &) const
	Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::GradientAverage (LocalInd &localInd_, Dune::FieldVector< RT, dim >const &outernormal, Cache const &cache_, Cache const &cacheNeigh_, Evaluators const &evaluators_)
template<class Variable >
void	Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::operator() (Variable const &) const
	Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::WeakBoundaryValues (LocalInd &localInd_, RT &integrationElement, Dune::FieldVector< RT, dim >const &outernormal, Cache const &cache_, BoundaryCache const &cacheBoundary_, Evaluators const &evaluators_)
template<class Variable >
void	Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator() (Variable const &) const
	Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::SolveLocalSystem (LocalVector &c_, LocalMatrix &A_, LocalVector &b_)
template<class Variable >
void	Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::operator() (Variable const &) const
template<class LocalMatrix , class Evaluators , class RT , class Cache >
void	Kaskade::localNormalMatrix (LocalMatrix &localmatrix, RT intEl, Evaluators const &evaluators, Cache const &cache)
template<class LocalVector , class Evaluators , class RT >
void	Kaskade::rank1KernelVector (LocalVector &localvector, RT intEl, Evaluators const &evaluators)
	Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::ScatterLocalSolution (LocalSolution const &localSolution_, Evaluators const &evaluators_, GlobalSolution &globalSolution_)
template<class Variable >
void	Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::operator() (Variable const &) const
template<class VariableDescriptions , int sysdim, class Result , class F , class Spaces , class ExtendedSpaces >
void	Kaskade::edgeAveraging (Result &result, F const &f, Spaces const &spaces, ExtendedSpaces const &extendedSpaces)
	Computes an error representation function, which is useful for goal oriented adaptivity. More...
	Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::LocalNormalMatrixBlock (LocalMatrix &localmatrix_, RT intEl_, Evaluators const &evaluators_, Cache const &cache_)
template<class Col >
void	Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::operator() (Col const &) const
	Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::LocalNormalMatrixRow (LocalMatrix &localmatrix_, RT intEl_, Evaluators const &evaluators_, Cache const &cache_)
template<class Row >
void	Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::operator() (Row const &) const
template<class LocalVector , class LocalMatrix >
void	Kaskade::solveLocalFullSystem (LocalVector &c, LocalMatrix &A, LocalVector &b)
	Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::WeakResiduumFull (LocalRHS &localRHS_, RT intEl_, Cache const &cache_, Evaluators const &evaluators_)
template<class Variable >
void	Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::operator() (Variable const &) const
	Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::ScatterFullLocalSolution (LocalSolution const &localSolution_, Evaluators const &evaluators_, GlobalSolution &globalSolution_)
template<class Variable >
void	Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::operator() (Variable const &) const
	Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::GradientAverageFull (LocalInd &localInd_, Dune::FieldVector< RT, dim >const &outernormal, Cache const &cache_, Cache const &cacheNeigh_, Evaluators const &evaluators_)
template<class Variable >
void	Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::operator() (Variable const &) const
	Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::WeakBoundaryValuesFull (LocalInd &localInd_, RT &integrationElement, Dune::FieldVector< RT, dim >const &outernormal, Cache const &cache_, BoundaryCache const &cacheBoundary_, Evaluators const &evaluators_)
template<class Variable >
void	Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator() (Variable const &) const
template<class VariableDescriptions , int sysdim, class Result , class F , class FS , class Spaces , class ExtendedSpaces >
void	Kaskade::edgeAveragingFull (Result &result, F const &f, FS const &fs, Spaces const &spaces, ExtendedSpaces const &extendedSpaces)
	Computes an error representation function, which is useful for goal oriented adaptivity. More...
template<class Spaces >
void	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::getErrorFunction (RecoveryRepresentation &recovery, Spaces const &spaces, FunctionalSimpl const &vf)
template<class Spaces >
void	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::getFullErrorFunction (RecoveryRepresentation &recovery, Spaces const &spaces, Functional const &vf, FunctionalSimpl const &vfs)
template<class Description , class Function , class Functional >
CellData< typenameFunction::Grid >::CellDataVector	Kaskade::BWErrorIndicator (Function const &f, Functional const &vf)
	Construct an error indicator in the flavour of Bank/Weiser. More...
template<class VariableSetDescription , class Scaling >
void	Kaskade::coarsening (VariableSetDescription const &varDesc, typename VariableSetDescription::VariableSet const &sol, Scaling const &scaling, std::vector< std::pair< double, double > > const &tol, GridManager< typename VariableSetDescription::Grid > &gridManager, int verbosity=1, int minRefLevel=0)
template<class VariableSetDescription , class Scaling >
void	Kaskade::coarsening (VariableSetDescription const &varDesc, typename VariableSetDescription::VariableSet const &sol, Scaling const &scaling, std::vector< std::pair< double, double > > const &tol, GridManager< typename VariableSetDescription::Grid > &gridManager, std::vector< bool > &coarsenedCells, int verbosity=1, int minRefLevel=0)
	coarsening routine More...
template<class VariableSetDescription >
void	Kaskade::projectHierarchically (VariableSet< VariableSetDescription > &f)
	Projects the given FE function onto the the polynomial ansatz subspace of one order lower. This relies on the hierarchic projection defined by the shape function sets on each cell. More...
template<class VariableSet , class GridManager >
std::array< size_t, 3 >	Kaskade::uniformEmbeddedErrorEstimation (VariableSet const &u, Dune::FieldVector< double, VariableSet::Descriptions::noOfVariables > const &tol, GridManager &gridManager, double rhoMin=0.1, double rhoMax=0.9)
	Embedded error estimation and simultaneous mesh refinement/coarsening. More...
	Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::EmbeddedErrorEstimator (GManager &gridManager_, VariableSetDescription const &varDesc_, Scaling const &scaling_=Scaling())
	Constructor. More...
bool	Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::estimate (typename VariableSetDescription::VariableSet const &err, typename VariableSetDescription::VariableSet const &sol) const
	perform error estimation More...
Self &	Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::setTolerances (std::vector< std::pair< double, double > > const &tol_)
	set the tolerances More...
Self &	Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::setScaling (Scaling const &scaling_)
	set the scaling More...
Self &	Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::setCriterion (RefinementCriterion const &criterion_)
	set the refinement criterion More...
Self &	Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::setVerbosity (int verbosity_)
	set the verbosity level More...
template<class VariableSetDescription , class Scaling >
bool	Kaskade::embeddedErrorEstimator (VariableSetDescription const &varDesc, typename VariableSetDescription::VariableSet const &err, typename VariableSetDescription::VariableSet const &sol, Scaling const &scaling, std::vector< std::pair< double, double > > const &tol, GridManager< typename VariableSetDescription::Grid > &gridManager, int verbosity=1)
	Embedded error estimation and mesh refinement. More...
template<class ExtensionVariables , class LinearFunctional >
HierarchicErrorEstimator< LinearFunctional, ExtensionVariables >	Kaskade::hierarchicErrorEstimator (LinearFunctional const &lf, typename LinearFunctional::AnsatzVars::VariableSet const &u)
template<class ErrorDescriptions , class F , class FS , class TestFunctions , class Spaces , class TestSpaces >
void	Kaskade::residualTimesTestFunction (std::vector< Dune::FieldVector< typename SpaceType< Spaces, 0 >::type::RT, boost::fusion::result_of::size< ErrorDescriptions >::type::value > > &ind, ErrorDescriptions const &varDesc, F const &f, FS const &fs, TestFunctions const &tf, Spaces const &spaces, TestSpaces const &testSpaces)
	Evaluates strong residual, applied to some test-function <f(x), tf> More...

Variables
static ProblemType const	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::type = VariationalFunctional
ErrorGradientFunction const &	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::x
static bool const	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::D2< row, col >::present = true
static bool const	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::D2< row, col >::lumped = false
static bool const	Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::D2< row, col >::symmetric = true
static int const	Kaskade::EstimatorDescription< Id, PDEId, SpaceId, components >::id = Id
static int const	Kaskade::EstimatorDescription< Id, PDEId, SpaceId, components >::pdeid = PDEId
static int const	Kaskade::EstimatorDescription< Id, PDEId, SpaceId, components >::spaceIndex = SpaceId
static int const	Kaskade::EstimatorDescription< Id, PDEId, SpaceId, components >::m = components
static const int	Kaskade::SystDim< dim >::value = (dim+1)+3*(dim-1)
static const int	Kaskade::SystDimFull< dim >::value = (dim+1)+3*(dim-1)
VariationalArg< RT, dim >	Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::modarg
LocalInd &	Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::localInd
Cache const &	Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::cache
Cache const &	Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::cacheNeigh
Evaluators const &	Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::evaluators
VariationalArg< RT, dim >	Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modarg
VariationalArg< RT, dim >	Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargB
VariationalArg< RT, dim >	Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargTest
LocalInd &	Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::localInd
Cache const &	Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::cache
BoundaryCache const &	Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::boundaryCache
Evaluators const &	Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::evaluators
static const int	Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::dim = boost::fusion::result_of::value_at_c<Evaluators,0>::type::Space::dim
LocalRHS &	Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::localRHS
RT	Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::intEl
Evaluators const &	Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::evaluators
Cache const &	Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::cache
static const int	Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::dim = boost::fusion::result_of::value_at_c<Evaluators,0>::type::Space::dim
LocalRHS &	Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::localRHS
RT	Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::intEl
Evaluators const &	Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::evaluators
Cache const &	Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::cache
VariationalArg< RT, dim >	Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::modarg
LocalInd &	Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::localInd
Cache const &	Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::cache
Cache const &	Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::cacheNeigh
Evaluators const &	Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::evaluators
VariationalArg< RT, dim >	Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modarg
VariationalArg< RT, dim >	Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargB
VariationalArg< RT, dim >	Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargTest
LocalInd &	Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::localInd
Cache const &	Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::cache
BoundaryCache const &	Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::boundaryCache
Evaluators const &	Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::evaluators
LocalVector &	Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::c
LocalMatrix &	Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::A
LocalVector &	Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::b
LocalSolution const &	Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::localSolution
Evaluators const &	Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::eval
GlobalSolution &	Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::globalSolution
static const int	Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::dim = boost::fusion::result_of::value_at_c<Evaluators,0>::type::Space::dim
LocalMatrix &	Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::localmatrix
RT	Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::intEl
Evaluators const &	Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::evaluators
Cache const &	Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::cache
static const int	Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::dim = boost::fusion::result_of::value_at_c<Evaluators,0>::type::Space::dim
VarDesc	Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::varDesc
LocalMatrix &	Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::localmatrix
RT	Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::intEl
Evaluators const &	Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::evaluators
Cache const &	Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::cache
LocalRHS &	Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::localRHS
RT	Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::intEl
Evaluators const &	Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::evaluators
Cache const &	Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::cache
LocalSolution const &	Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::localSolution
Evaluators const &	Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::eval
GlobalSolution &	Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::globalSolution
VariationalArg< RT, dim >	Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::modarg
LocalInd &	Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::localInd
Cache const &	Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::cache
Cache const &	Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::cacheNeigh
Evaluators const &	Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::evaluators
VariationalArg< RT, dim >	Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modarg
VariationalArg< RT, dim >	Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargB
VariationalArg< RT, dim >	Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargTest
LocalInd &	Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::localInd
Cache const &	Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::cache
BoundaryCache const &	Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::boundaryCache
Evaluators const &	Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::evaluators
static int const	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::syst = SystDim<RecoverySpace::dim>::value
static int const	Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::systFull = SystDimFull<RecoverySpace::dim>::value

Detailed Description

Tools for error estimation and local mesh refinement.

The issue of adaptivity is currently in a rather experimental state with several ideas coexisting.

Typedef Documentation

AnsatzVars

template<class Grid , class Space >

template<class RType , class Variables >

typedef Variables Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::AnsatzVars

Definition at line 265 of file averaging_errorest.hh.

ContRecoveryRepresentation

template<class Description , class Grid , class Functional , class FunctionalSimpl >

typedef ContRecoveryVariableSet::VariableSet Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::ContRecoveryRepresentation

Definition at line 886 of file bank_weiser_est.hh.

ContRecoverySpace

template<class Description , class Grid , class Functional , class FunctionalSimpl >

typedef FEFunctionSpace<ContinuousLagrangeMapper<double,Grid> > Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::ContRecoverySpace

Definition at line 883 of file bank_weiser_est.hh.

ContRecoverySpaces

template<class Description , class Grid , class Functional , class FunctionalSimpl >

typedef boost::fusion::vector<ContRecoverySpace const*> Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::ContRecoverySpaces

Definition at line 884 of file bank_weiser_est.hh.

ContRecoveryVariableSet

template<class Description , class Grid , class Functional , class FunctionalSimpl >

typedef VariableSetDescription<ContRecoverySpaces,Description> Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::ContRecoveryVariableSet

Definition at line 885 of file bank_weiser_est.hh.

DerivativeType

template<typename Function1 , typename Function2 >

typedef Function1::DerivativeType Kaskade::FunctionViews::Difference< Function1, Function2 >::DerivativeType

Definition at line 78 of file averaging_errorest.hh.

ErrorFunction

template<class Grid , class Space >

typedef ErrorFunctionSpace::template Element<1>::type Kaskade::HigherOrderRecovery< Grid, Space >::ErrorFunction

Definition at line 250 of file averaging_errorest.hh.

ErrorFunctionSpace

template<class Grid , class Space >

typedef Space Kaskade::HigherOrderRecovery< Grid, Space >::ErrorFunctionSpace

Definition at line 247 of file averaging_errorest.hh.

ErrorGradientFunction

template<class Grid , class Space >

typedef ErrorGradientFunctionSpace::template Element<Grid::dimension>::type Kaskade::HigherOrderRecovery< Grid, Space >::ErrorGradientFunction

Definition at line 249 of file averaging_errorest.hh.

ErrorGradientFunctionSpace

template<class Grid , class Space >

typedef DiscontSpace Kaskade::HigherOrderRecovery< Grid, Space >::ErrorGradientFunctionSpace

Definition at line 246 of file averaging_errorest.hh.

GManager

template<class VariableSetDescription , class Scaling = IdentityScaling>

typedef GridManager<typename VariableSetDescription::Grid> Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::GManager

Definition at line 318 of file embedded_errorest.hh.

RecoveryRepresentation

template<class Description , class Grid , class Functional , class FunctionalSimpl >

typedef RecoveryVariableSet::VariableSet Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::RecoveryRepresentation

Definition at line 879 of file bank_weiser_est.hh.

RecoverySpace

template<class Description , class Grid , class Functional , class FunctionalSimpl >

typedef FEFunctionSpace<DiscontinuousLagrangeMapper<double,Grid> > Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::RecoverySpace

Definition at line 876 of file bank_weiser_est.hh.

RecoverySpaces

template<class Description , class Grid , class Functional , class FunctionalSimpl >

typedef boost::fusion::vector<RecoverySpace const*> Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::RecoverySpaces

Definition at line 877 of file bank_weiser_est.hh.

RecoveryVariableSet

template<class Description , class Grid , class Functional , class FunctionalSimpl >

typedef VariableSetDescription<RecoverySpaces,Description> Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::RecoveryVariableSet

Definition at line 878 of file bank_weiser_est.hh.

RT

template<class Grid , class Space >

template<class RType , class Variables >

typedef RType Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::RT

Definition at line 263 of file averaging_errorest.hh.

Scalar

template<typename Function1 , typename Function2 >

typedef Function1::Scalar Kaskade::FunctionViews::Difference< Function1, Function2 >::Scalar

Definition at line 79 of file averaging_errorest.hh.

Self

template<class VariableSetDescription , class Scaling = IdentityScaling>

typedef EmbeddedErrorEstimator<VariableSetDescription,Scaling> Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::Self

Definition at line 319 of file embedded_errorest.hh.

Space

template<typename Function1 , typename Function2 >

typedef Function1::Space Kaskade::FunctionViews::Difference< Function1, Function2 >::Space

Definition at line 76 of file averaging_errorest.hh.

TestVars

template<class Grid , class Space >

template<class RType , class Variables >

typedef Variables Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::TestVars

Definition at line 264 of file averaging_errorest.hh.

ValueType

template<typename Function1 , typename Function2 >

typedef Function1::ValueType Kaskade::FunctionViews::Difference< Function1, Function2 >::ValueType

Definition at line 77 of file averaging_errorest.hh.

Function Documentation

BWErrorIndicator()

template<class Description , class Function , class Functional >

CellData< typenameFunction::Grid >::CellDataVector Kaskade::BWErrorIndicator	(	Function const &	f,
		Functional const &	vf
	)

Construct an error indicator in the flavour of Bank/Weiser.

Definition at line 904 of file bank_weiser_est.hh.

coarsening() [1/2]

template<class VariableSetDescription , class Scaling >

void Kaskade::coarsening	(	VariableSetDescription const &	varDesc,
		typename VariableSetDescription::VariableSet const &	sol,
		Scaling const &	scaling,
		std::vector< std::pair< double, double > > const &	tol,
		GridManager< typename VariableSetDescription::Grid > &	gridManager,
		int	verbosity = 1,
		int	minRefLevel = 0
	)

In order to maintain compatibility with existing code, this overload is needed, as non const reference parameters (coarsenedCells) can not have default values. All it does is call the original method with a temporary parameter.

Definition at line 263 of file coarsening.hh.

Referenced by Kaskade::coarsening().

coarsening() [2/2]

template<class VariableSetDescription , class Scaling >

void Kaskade::coarsening	(	VariableSetDescription const &	varDesc,
		typename VariableSetDescription::VariableSet const &	sol,
		Scaling const &	scaling,
		std::vector< std::pair< double, double > > const &	tol,
		GridManager< typename VariableSetDescription::Grid > &	gridManager,
		std::vector< bool > &	coarsenedCells,
		int	verbosity = 1,
		int	minRefLevel = 0
	)

coarsening routine

Perform a projection from a fine grid onto a coarser grid. If the error is small, locally coarsen the grid there.

Parameters

varDesc
sol
scaling
tol
gridManager
coarsenedCells
verbosity
minRefLevel	do not coarse cells that are on this level or below.

Definition at line 289 of file coarsening.hh.

createBoundaryCache()

template<class Grid , class Space >

template<class RType , class Variables >

BoundaryCache Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::createBoundaryCache ( int  flags = 7 ) const

inline

Definition at line 308 of file averaging_errorest.hh.

createDomainCache()

template<class Grid , class Space >

template<class RType , class Variables >

DomainCache Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::createDomainCache ( int  flags = 7 ) const

inline

Definition at line 307 of file averaging_errorest.hh.

d0()

template<class Grid , class Space >

template<class RType , class Variables >

RT Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::DomainCache::d0 ( ) const

inline

Definition at line 288 of file averaging_errorest.hh.

d1()

template<class Grid , class Space >

template<class RType , class Variables >

template<int row, int dim>

Dune::FieldVector< RT, 1 > Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::DomainCache::d1 ( VariationalArg< RT, dim > const &  arg ) const

inline

Definition at line 290 of file averaging_errorest.hh.

d2()

template<class Grid , class Space >

template<class RType , class Variables >

template<int row, int col, int dim>

Dune::FieldMatrix< RT, 1, 1 > Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::DomainCache::d2 ( VariationalArg< RT, dim > const &  arg1, VariationalArg< RT, dim > const &  arg2  ) const

inline

Definition at line 293 of file averaging_errorest.hh.

derivative()

template<typename Function1 , typename Function2 >

DerivativeType Kaskade::FunctionViews::Difference< Function1, Function2 >::derivative ( typename Function1::Space::Evaluator  eval ) const

inline

Definition at line 99 of file averaging_errorest.hh.

Difference()

template<typename Function1 , typename Function2 >

Kaskade::FunctionViews::Difference< Function1, Function2 >::Difference ( Function1 const &  f1_, Function2 const &  f2_  )

inline

Definition at line 86 of file averaging_errorest.hh.

DomainCache()

template<class Grid , class Space >

template<class RType , class Variables >

Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::DomainCache::DomainCache ( ErrorGradientFunction const &  u_ )

inline

Definition at line 277 of file averaging_errorest.hh.

edgeAveraging()

template<class VariableDescriptions , int sysdim, class Result , class F , class Spaces , class ExtendedSpaces >

void Kaskade::edgeAveraging	(	Result &	result,
		F const &	f,
		Spaces const &	spaces,
		ExtendedSpaces const &	extendedSpaces
	)

Computes an error representation function, which is useful for goal oriented adaptivity.

Arguments

• result : output: variable set of error functions
• varDesc : description of the testfunctions
• f : functional, the residual of which is evaluated
• spaces : spaces of the ansatz functions x, neede for the evaluation of f
• extended spaces: spaces, where the error functions live

Attention

: this routine is not yet fully general

Definition at line 385 of file bank_weiser_est.hh.

edgeAveragingFull()

template<class VariableDescriptions , int sysdim, class Result , class F , class FS , class Spaces , class ExtendedSpaces >

void Kaskade::edgeAveragingFull	(	Result &	result,
		F const &	f,
		FS const &	fs,
		Spaces const &	spaces,
		ExtendedSpaces const &	extendedSpaces
	)

Computes an error representation function, which is useful for goal oriented adaptivity.

Arguments

• result : output: variable set of error functions
• varDesc : description of the testfunctions
• f : functional, the residual of which is evaluated
• spaces : spaces of the ansatz functions x, neede for the evaluation of f
• extended spaces: spaces, where the error functions live

Attention

: this routine is not yet fully general

Definition at line 733 of file bank_weiser_est.hh.

EmbeddedErrorEstimator()

template<class VariableSetDescription , class Scaling = IdentityScaling>

Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::EmbeddedErrorEstimator ( GManager &  gridManager_, VariableSetDescription const &  varDesc_, Scaling const &  scaling_ = Scaling()  )

inline

Constructor.

Both the grid manager and the variable set description objects need to exist until the error estimator is destructed.

Definition at line 327 of file embedded_errorest.hh.

embeddedErrorEstimator()

template<class VariableSetDescription , class Scaling >

bool Kaskade::embeddedErrorEstimator	(	VariableSetDescription const &	varDesc,
		typename VariableSetDescription::VariableSet const &	err,
		typename VariableSetDescription::VariableSet const &	sol,
		Scaling const &	scaling,
		std::vector< std::pair< double, double > > const &	tol,
		GridManager< typename VariableSetDescription::Grid > &	gridManager,
		int	verbosity = 1
	)

Embedded error estimation and mesh refinement.

Returns true if the error is below the tolerance, in which case no mesh refinement is performed.

Parameters

err	an explicit representation of the estimated error
sol	the (approximate) solution
scaling	A pointwise nonlinear scaling to be applied before error estimation.

Definition at line 459 of file embedded_errorest.hh.

Referenced by Kaskade::Limex< Eq >::step().

estimate()

template<class VariableSetDescription , class Scaling = IdentityScaling>

bool Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::estimate ( typename VariableSetDescription::VariableSet const &  err, typename VariableSetDescription::VariableSet const &  sol  ) const

inline

perform error estimation

Definition at line 334 of file embedded_errorest.hh.

Referenced by Kaskade::embeddedErrorEstimator().

evaluateAt()

template<class Grid , class Space >

template<class RType , class Variables >

template<class Position , class Evaluators >

void Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::DomainCache::evaluateAt ( Position const &  x, Evaluators const &  evaluators  )

inline

Definition at line 282 of file averaging_errorest.hh.

getErrorFunction() [1/2]

template<class Grid , class Space >

void Kaskade::HigherOrderRecovery< Grid, Space >::getErrorFunction ( ErrorFunction &  ex, ErrorGradientFunction const &  gex  )

inline

Definition at line 333 of file averaging_errorest.hh.

getErrorFunction() [2/2]

template<class Description , class Grid , class Functional , class FunctionalSimpl >

template<class Spaces >

void Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::getErrorFunction ( RecoveryRepresentation &  recovery, Spaces const &  spaces, FunctionalSimpl const &  vf  )

inline

Definition at line 889 of file bank_weiser_est.hh.

getFullErrorFunction()

template<class Description , class Grid , class Functional , class FunctionalSimpl >

template<class Spaces >

void Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::getFullErrorFunction ( RecoveryRepresentation &  recovery, Spaces const &  spaces, Functional const &  vf, FunctionalSimpl const &  vfs  )

inline

Definition at line 895 of file bank_weiser_est.hh.

getLocalIntegral()

template<typename Space >

CellData< Grid, ValueType >::CellDataVector & Kaskade::LocalIntegral< Space >::LocalIntegrator::getLocalIntegral ( )

inline

Definition at line 149 of file averaging_errorest.hh.

GradientAverage()

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::GradientAverage ( LocalInd &  localInd_, Dune::FieldVector< RT, dim >const &  outernormal, Cache const &  cache_, Cache const &  cacheNeigh_, Evaluators const &  evaluators_  )

inline

Definition at line 204 of file bank_weiser_est.hh.

GradientAverageFull()

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::GradientAverageFull ( LocalInd &  localInd_, Dune::FieldVector< RT, dim >const &  outernormal, Cache const &  cache_, Cache const &  cacheNeigh_, Evaluators const &  evaluators_  )

inline

Definition at line 646 of file bank_weiser_est.hh.

gradientAveraging() [1/2]

template<class Function >

CellData< typenameFunction::Space::Grid, typenameFunction::ValueType >::CellDataVector Kaskade::gradientAveraging

(

Function const &

f

)

Perform gradient averaging in order to construct an error estimator.

The result is a CellDataVector, from which an object of the class CellData can be constructed. With the functionality of this class an adaptive refinement procedure can be driven easily

Definition at line 180 of file averaging_errorest.hh.

gradientAveraging() [2/2]

template<class GradientError , class Function >

void Kaskade::gradientAveraging	(	GradientError &	dx,
		Function const &	x
	)

Perform gradient averaging in order to construct a representation of the gradient error.

The result is a CellDataVector, from which an object of the class CellData can be constructed. With the functionality of this class an adaptive refinement procedure can be driven easily

Definition at line 200 of file averaging_errorest.hh.

HalfGradientJump()

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::HalfGradientJump ( LocalInd &  localInd_, Dune::FieldVector< RT, dim >const &  outernormal, Cache const &  cache_, Cache const &  cacheNeigh_, Evaluators const &  evaluators_  )

inline

Definition at line 79 of file bank_weiser_est.hh.

hierarchicErrorEstimator()

template<class ExtensionVariables , class LinearFunctional >

HierarchicErrorEstimator< LinearFunctional, ExtensionVariables > Kaskade::hierarchicErrorEstimator	(	LinearFunctional const &	lf,
		typename LinearFunctional::AnsatzVars::VariableSet const &	u
	)

Definition at line 465 of file fem/hierarchicErrorEstimator.hh.

HigherOrderRecoveryFunctional()

template<class Grid , class Space >

template<class RType , class Variables >

Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::HigherOrderRecoveryFunctional ( ErrorGradientFunction const &  x_ )

inline

Definition at line 273 of file averaging_errorest.hh.

inDomain()

template<class Grid , class Space >

template<class RType , class Variables >

template<class Arg >

bool Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::inDomain ( Arg const &  a ) const

inline

Definition at line 271 of file averaging_errorest.hh.

integrationOrder()

template<class Grid , class Space >

template<class RType , class Variables >

template<class Cell >

int Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::integrationOrder ( Cell const &  , int  shapeFunctionOrder, bool  boundary  ) const

inline

Definition at line 322 of file averaging_errorest.hh.

localNormalMatrix()

template<class LocalMatrix , class Evaluators , class RT , class Cache >

void Kaskade::localNormalMatrix	(	LocalMatrix &	localmatrix,
		RT	intEl,
		Evaluators const &	evaluators,
		Cache const &	cache
	)

Definition at line 318 of file bank_weiser_est.hh.

LocalNormalMatrixBlock()

template<class LocalMatrix , class Evaluators , class RT , class Cache , class Row >

Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::LocalNormalMatrixBlock ( LocalMatrix &  localmatrix_, RT  intEl_, Evaluators const &  evaluators_, Cache const &  cache_  )

inline

Definition at line 528 of file bank_weiser_est.hh.

LocalNormalMatrixRow()

template<class LocalMatrix , class Evaluators , class RT , class Cache , class VarDesc >

Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::LocalNormalMatrixRow ( LocalMatrix &  localmatrix_, RT  intEl_, Evaluators const &  evaluators_, Cache const &  cache_  )

inline

Definition at line 557 of file bank_weiser_est.hh.

lowOrderInterpolation()

template<class Function >

CellData< typenameFunction::Space::Grid, typenameFunction::ValueType >::CellDataVector Kaskade::lowOrderInterpolation

(

Function const &

f

)

Perform lower order interpolation in order to construct an error estimator.

The result is a CellDataVector, from which an object of the class CellData can be constructed. With the functionality of this class an adaptive refinement procedure can be driven easily

Definition at line 214 of file averaging_errorest.hh.

operator()() [1/17]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class Row >

template<class Col >

void Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::operator() ( Col const &  ) const

inline

Definition at line 534 of file bank_weiser_est.hh.

operator()() [2/17]

template<typename Space >

template<typename Function >

CellData< Grid, ValueType >::CellDataVector Kaskade::LocalIntegral< Space >::operator() ( Function  f )

inline

Perform local integration for FunctionSpaceElement or FunctionViews (more efficient)

Definition at line 167 of file averaging_errorest.hh.

operator()() [3/17]

template<typename Space >

template<typename Function >

CellData< Grid, ValueType >::CellDataVector Kaskade::LocalIntegral< Space >::operator() ( Function  f, Space  s  )

inline

Perform local integration for WeakFunctionViews (less efficient)

Definition at line 158 of file averaging_errorest.hh.

operator()() [4/17]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class VarDesc >

template<class Row >

void Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::operator() ( Row const &  ) const

inline

Definition at line 563 of file bank_weiser_est.hh.

operator()() [5/17]

template<typename Space >

void Kaskade::LocalIntegral< Space >::LocalIntegrator::operator() ( typename Cell::Entity const &  ci, QuadPoint const &  q, ValueType  v  )

inline

Definition at line 136 of file averaging_errorest.hh.

operator()() [6/17]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

template<class Variable >

void Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::operator() ( Variable const &  ) const

inline

Definition at line 91 of file bank_weiser_est.hh.

operator()() [7/17]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

template<class Variable >

void Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator() ( Variable const &  ) const

inline

Definition at line 126 of file bank_weiser_est.hh.

operator()() [8/17]

template<class LocalRHS , class RT , class Cache , class Evaluators >

template<class Variable >

void Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::operator() ( Variable const &  ) const

inline

Definition at line 154 of file bank_weiser_est.hh.

operator()() [9/17]

template<class LocalRHS , class RT , class Cache , class Evaluators >

template<class Variable >

void Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::operator() ( Variable const &  ) const

inline

Definition at line 181 of file bank_weiser_est.hh.

operator()() [10/17]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

template<class Variable >

void Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::operator() ( Variable const &  ) const

inline

Definition at line 216 of file bank_weiser_est.hh.

operator()() [11/17]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

template<class Variable >

void Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator() ( Variable const &  ) const

inline

Definition at line 252 of file bank_weiser_est.hh.

operator()() [12/17]

template<class LocalVector , class LocalMatrix >

template<class Variable >

void Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::operator() ( Variable const &  ) const

inline

Definition at line 288 of file bank_weiser_est.hh.

operator()() [13/17]

template<class LocalSolution , class Evaluators , class GlobalSolution >

template<class Variable >

void Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::operator() ( Variable const &  ) const

inline

Definition at line 360 of file bank_weiser_est.hh.

operator()() [14/17]

template<class LocalRHS , class RT , class Cache , class Evaluators >

template<class Variable >

void Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::operator() ( Variable const &  ) const

inline

Definition at line 604 of file bank_weiser_est.hh.

operator()() [15/17]

template<class LocalSolution , class Evaluators , class GlobalSolution >

template<class Variable >

void Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::operator() ( Variable const &  ) const

inline

Definition at line 627 of file bank_weiser_est.hh.

operator()() [16/17]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

template<class Variable >

void Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::operator() ( Variable const &  ) const

inline

Definition at line 658 of file bank_weiser_est.hh.

operator()() [17/17]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

template<class Variable >

void Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator() ( Variable const &  ) const

inline

Definition at line 694 of file bank_weiser_est.hh.

order()

template<typename Function1 , typename Function2 >

template<class SFS >

int Kaskade::FunctionViews::Difference< Function1, Function2 >::order ( SFS const &  sfs ) const

inline

Definition at line 82 of file averaging_errorest.hh.

projectHierarchically()

template<class VariableSetDescription >

void Kaskade::projectHierarchically

(

VariableSet< VariableSetDescription > &

f

)

Projects the given FE function onto the the polynomial ansatz subspace of one order lower. This relies on the hierarchic projection defined by the shape function sets on each cell.

For continuous spaces and order=1 the result is probably undefined.

Definition at line 100 of file embedded_errorest.hh.

Referenced by Kaskade::Limex< Eq >::step(), and Kaskade::uniformEmbeddedErrorEstimation().

rank1KernelVector()

template<class LocalVector , class Evaluators , class RT >

void Kaskade::rank1KernelVector	(	LocalVector &	localvector,
		RT	intEl,
		Evaluators const &	evaluators
	)

Definition at line 342 of file bank_weiser_est.hh.

residualTimesTestFunction()

template<class ErrorDescriptions , class F , class FS , class TestFunctions , class Spaces , class TestSpaces >

void Kaskade::residualTimesTestFunction	(	std::vector< Dune::FieldVector< typename SpaceType< Spaces, 0 >::type::RT, boost::fusion::result_of::size< ErrorDescriptions >::type::value > > &	ind,
		ErrorDescriptions const &	varDesc,
		F const &	f,
		FS const &	fs,
		TestFunctions const &	tf,
		Spaces const &	spaces,
		TestSpaces const &	testSpaces
	)

Evaluates strong residual, applied to some test-function <f(x), tf>

Arguments

• ind : output vector: for each equation of the system and each cell the result of the computation
• varDesc : description of the testfunctions
• f : functional, the residual of which is evaluated
• tf : testfunctions the residual is applied to
• spaces : spaces of the ansatz functions x
• testSpaces : spaces of the test functions tf

Definition at line 132 of file residual_errorest.hh.

ScatterFullLocalSolution()

template<class LocalSolution , class Evaluators , class GlobalSolution >

Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::ScatterFullLocalSolution ( LocalSolution const &  localSolution_, Evaluators const &  evaluators_, GlobalSolution &  globalSolution_  )

inline

Definition at line 622 of file bank_weiser_est.hh.

ScatterLocalSolution()

template<class LocalSolution , class Evaluators , class GlobalSolution >

Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::ScatterLocalSolution ( LocalSolution const &  localSolution_, Evaluators const &  evaluators_, GlobalSolution &  globalSolution_  )

inline

Definition at line 355 of file bank_weiser_est.hh.

setCriterion()

template<class VariableSetDescription , class Scaling = IdentityScaling>

Self & Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::setCriterion ( RefinementCriterion const &  criterion_ )

inline

set the refinement criterion

Definition at line 419 of file embedded_errorest.hh.

Referenced by Kaskade::embeddedErrorEstimator().

setScaling()

template<class VariableSetDescription , class Scaling = IdentityScaling>

Self & Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::setScaling ( Scaling const &  scaling_ )

inline

set the scaling

Definition at line 410 of file embedded_errorest.hh.

setTolerances()

template<class VariableSetDescription , class Scaling = IdentityScaling>

Self & Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::setTolerances ( std::vector< std::pair< double, double > > const &  tol_ )

inline

set the tolerances

The tolerance for each variable consists of an absolute part (aTOL) and a relative part (rTOL). Sufficient accuracy is assumed, if the error \( \epsilon \) of the approximate solution \( u \) satisfies

\[ \|\epsilon\|^2 \le \mathrm{aTOL}^2 + \mathrm{rTOL}^2 \|u\|^2. \]

Defaults to aTOL=0 and rTOL=0.01 for all variables.

Definition at line 401 of file embedded_errorest.hh.

Referenced by Kaskade::embeddedErrorEstimator().

setVerbosity()

template<class VariableSetDescription , class Scaling = IdentityScaling>

Self & Kaskade::EmbeddedErrorEstimator< VariableSetDescription, Scaling >::setVerbosity ( int  verbosity_ )

inline

set the verbosity level

Verbosity levels:

• 0: no output
• 1: squared norms of error and solution are written to standard output

Definition at line 432 of file embedded_errorest.hh.

Referenced by Kaskade::embeddedErrorEstimator().

solveLocalFullSystem()

template<class LocalVector , class LocalMatrix >

void Kaskade::solveLocalFullSystem	(	LocalVector &	c,
		LocalMatrix &	A,
		LocalVector &	b
	)

Definition at line 578 of file bank_weiser_est.hh.

Referenced by Kaskade::edgeAveragingFull().

SolveLocalSystem()

template<class LocalVector , class LocalMatrix >

Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::SolveLocalSystem ( LocalVector &  c_, LocalMatrix &  A_, LocalVector &  b_  )

inline

Definition at line 280 of file bank_weiser_est.hh.

space()

template<typename Function1 , typename Function2 >

Space const & Kaskade::FunctionViews::Difference< Function1, Function2 >::space ( ) const

inline

Definition at line 84 of file averaging_errorest.hh.

StrongBoundaryValues()

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::StrongBoundaryValues ( LocalInd &  localInd_, RT &  integrationElement, Dune::FieldVector< RT, dim >const &  outernormal, Cache const &  cache_, BoundaryCache const &  cacheBoundary_, Evaluators const &  evaluators_  )

inline

Definition at line 109 of file bank_weiser_est.hh.

uniformEmbeddedErrorEstimation()

template<class VariableSet , class GridManager >

std::array< size_t, 3 > Kaskade::uniformEmbeddedErrorEstimation	(	VariableSet const &	u,
		Dune::FieldVector< double, VariableSet::Descriptions::noOfVariables > const &	tol,
		GridManager &	gridManager,
		double	rhoMin = 0.1,
		double	rhoMax = 0.9
	)

Embedded error estimation and simultaneous mesh refinement/coarsening.

This computes for all cells \( T \) the value \( \epsilon_T = \max_i \max_x |u_i(x)|/tol_i \) and marks all cells with \( \epsilon_T > \rho_{\max} \) for refinement, all cells with \( \epsilon_T < \rho_{\min} \) for coarsening, and unmarks all other cells.

Note that if performed in a loop, simultaneous refinement and coarsening can in some circumstances lead to non-termination by cycling through the same resulting grids. This is in particular the case if \( \rho_{\rm min} \) is too large. In such cases, reduce \( \rho_{\min} \) or consider a separation of refinement and coarsening.

Returns

a triple (a,b,c) with a the number of inacceptable cells with \( \epsilon_T > 1 \), b the number of cells marked for refinement, and c the number of cells marked for coarsening.

Definition at line 254 of file embedded_errorest.hh.

value() [1/2]

template<typename Function1 , typename Function2 >

template<class EPtr , class V >

ValueType Kaskade::FunctionViews::Difference< Function1, Function2 >::value ( EPtr const &  ci, V const &  v  ) const

inline

Definition at line 94 of file averaging_errorest.hh.

value() [2/2]

template<typename Function1 , typename Function2 >

ValueType Kaskade::FunctionViews::Difference< Function1, Function2 >::value ( typename Function1::Space::Evaluator  eval ) const

inline

Definition at line 88 of file averaging_errorest.hh.

WeakBoundaryValues()

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::WeakBoundaryValues ( LocalInd &  localInd_, RT &  integrationElement, Dune::FieldVector< RT, dim >const &  outernormal, Cache const &  cache_, BoundaryCache const &  cacheBoundary_, Evaluators const &  evaluators_  )

inline

Definition at line 235 of file bank_weiser_est.hh.

WeakBoundaryValuesFull()

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::WeakBoundaryValuesFull ( LocalInd &  localInd_, RT &  integrationElement, Dune::FieldVector< RT, dim >const &  outernormal, Cache const &  cache_, BoundaryCache const &  cacheBoundary_, Evaluators const &  evaluators_  )

inline

Definition at line 677 of file bank_weiser_est.hh.

WeakResiduum()

template<class LocalRHS , class RT , class Cache , class Evaluators >

Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::WeakResiduum ( LocalRHS &  localRHS_, RT  intEl_, Cache const &  cache_, Evaluators const &  evaluators_  )

inline

Definition at line 148 of file bank_weiser_est.hh.

WeakResiduumFull()

template<class LocalRHS , class RT , class Cache , class Evaluators >

Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::WeakResiduumFull ( LocalRHS &  localRHS_, RT  intEl_, Cache const &  cache_, Evaluators const &  evaluators_  )

inline

Definition at line 598 of file bank_weiser_est.hh.

WeakResiduumMainPart()

template<class LocalRHS , class RT , class Cache , class Evaluators >

Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::WeakResiduumMainPart ( LocalRHS &  localRHS_, RT  intEl_, Cache const &  cache_, Evaluators const &  evaluators_  )

inline

Definition at line 175 of file bank_weiser_est.hh.

Variable Documentation

A

template<class LocalVector , class LocalMatrix >

LocalMatrix& Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::A

Definition at line 312 of file bank_weiser_est.hh.

Referenced by Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::operator()().

b

template<class LocalVector , class LocalMatrix >

LocalVector& Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::b

Definition at line 313 of file bank_weiser_est.hh.

Referenced by Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::operator()().

boundaryCache [1/3]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

BoundaryCache const& Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::boundaryCache

Definition at line 140 of file bank_weiser_est.hh.

Referenced by Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

boundaryCache [2/3]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

BoundaryCache const& Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::boundaryCache

Definition at line 273 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

boundaryCache [3/3]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

BoundaryCache const& Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::boundaryCache

Definition at line 717 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

c

template<class LocalVector , class LocalMatrix >

LocalVector& Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::c

Definition at line 311 of file bank_weiser_est.hh.

Referenced by Kaskade::SolveLocalSystem< LocalVector, LocalMatrix >::operator()().

cache [1/11]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Cache const& Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::cache

Definition at line 100 of file bank_weiser_est.hh.

Referenced by Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::operator()().

cache [2/11]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

Cache const& Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::cache

Definition at line 139 of file bank_weiser_est.hh.

Referenced by Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

cache [3/11]

template<class LocalRHS , class RT , class Cache , class Evaluators >

Cache const& Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::cache

Definition at line 167 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::operator()().

cache [4/11]

template<class LocalRHS , class RT , class Cache , class Evaluators >

Cache const& Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::cache

Definition at line 196 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::operator()().

cache [5/11]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Cache const& Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::cache

Definition at line 225 of file bank_weiser_est.hh.

Referenced by Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::operator()().

cache [6/11]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

Cache const& Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::cache

Definition at line 272 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

cache [7/11]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class Row >

Cache const& Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::cache

Definition at line 550 of file bank_weiser_est.hh.

Referenced by Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::operator()().

cache [8/11]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class VarDesc >

Cache const& Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::cache

Definition at line 574 of file bank_weiser_est.hh.

Referenced by Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::operator()().

cache [9/11]

template<class LocalRHS , class RT , class Cache , class Evaluators >

Cache const& Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::cache

Definition at line 616 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::operator()().

cache [10/11]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Cache const& Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::cache

Definition at line 669 of file bank_weiser_est.hh.

Referenced by Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::operator()().

cache [11/11]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

Cache const& Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::cache

Definition at line 716 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

cacheNeigh [1/3]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Cache const& Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::cacheNeigh

Definition at line 101 of file bank_weiser_est.hh.

Referenced by Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::operator()().

cacheNeigh [2/3]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Cache const& Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::cacheNeigh

Definition at line 226 of file bank_weiser_est.hh.

Referenced by Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::operator()().

cacheNeigh [3/3]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Cache const& Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::cacheNeigh

Definition at line 670 of file bank_weiser_est.hh.

Referenced by Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::operator()().

dim [1/4]

template<class LocalRHS , class RT , class Cache , class Evaluators >

const int Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::dim = boost::fusion::result_of::value_at_c<Evaluators,0>::type::Space::dim

static

Definition at line 147 of file bank_weiser_est.hh.

dim [2/4]

template<class LocalRHS , class RT , class Cache , class Evaluators >

const int Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::dim = boost::fusion::result_of::value_at_c<Evaluators,0>::type::Space::dim

static

Definition at line 174 of file bank_weiser_est.hh.

dim [3/4]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class Row >

const int Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::dim = boost::fusion::result_of::value_at_c<Evaluators,0>::type::Space::dim

static

Definition at line 527 of file bank_weiser_est.hh.

dim [4/4]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class VarDesc >

const int Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::dim = boost::fusion::result_of::value_at_c<Evaluators,0>::type::Space::dim

static

Definition at line 556 of file bank_weiser_est.hh.

eval [1/2]

template<class LocalSolution , class Evaluators , class GlobalSolution >

Evaluators const& Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::eval

Definition at line 370 of file bank_weiser_est.hh.

Referenced by Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::operator()().

eval [2/2]

template<class LocalSolution , class Evaluators , class GlobalSolution >

Evaluators const& Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::eval

Definition at line 637 of file bank_weiser_est.hh.

Referenced by Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::operator()().

evaluators [1/11]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Evaluators const& Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::evaluators

Definition at line 102 of file bank_weiser_est.hh.

Referenced by Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::operator()().

evaluators [2/11]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

Evaluators const& Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::evaluators

Definition at line 141 of file bank_weiser_est.hh.

Referenced by Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

evaluators [3/11]

template<class LocalRHS , class RT , class Cache , class Evaluators >

Evaluators const& Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::evaluators

Definition at line 166 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::operator()().

evaluators [4/11]

template<class LocalRHS , class RT , class Cache , class Evaluators >

Evaluators const& Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::evaluators

Definition at line 195 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::operator()().

evaluators [5/11]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Evaluators const& Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::evaluators

Definition at line 227 of file bank_weiser_est.hh.

Referenced by Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::operator()().

evaluators [6/11]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

Evaluators const& Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::evaluators

Definition at line 274 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

evaluators [7/11]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class Row >

Evaluators const& Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::evaluators

Definition at line 549 of file bank_weiser_est.hh.

Referenced by Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::operator()().

evaluators [8/11]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class VarDesc >

Evaluators const& Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::evaluators

Definition at line 573 of file bank_weiser_est.hh.

Referenced by Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::operator()().

evaluators [9/11]

template<class LocalRHS , class RT , class Cache , class Evaluators >

Evaluators const& Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::evaluators

Definition at line 615 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::operator()().

evaluators [10/11]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

Evaluators const& Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::evaluators

Definition at line 671 of file bank_weiser_est.hh.

Referenced by Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::operator()().

evaluators [11/11]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

Evaluators const& Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::evaluators

Definition at line 718 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

globalSolution [1/2]

template<class LocalSolution , class Evaluators , class GlobalSolution >

GlobalSolution& Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::globalSolution

Definition at line 371 of file bank_weiser_est.hh.

Referenced by Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::operator()().

globalSolution [2/2]

template<class LocalSolution , class Evaluators , class GlobalSolution >

GlobalSolution& Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::globalSolution

Definition at line 638 of file bank_weiser_est.hh.

Referenced by Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::operator()().

id

template<int Id, int PDEId, int SpaceId, int components>

int const Kaskade::EstimatorDescription< Id, PDEId, SpaceId, components >::id = Id

static

Definition at line 41 of file bank_weiser_est.hh.

intEl [1/5]

template<class LocalRHS , class RT , class Cache , class Evaluators >

RT Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::intEl

Definition at line 165 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::operator()().

intEl [2/5]

template<class LocalRHS , class RT , class Cache , class Evaluators >

RT Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::intEl

Definition at line 194 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::operator()().

intEl [3/5]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class Row >

RT Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::intEl

Definition at line 548 of file bank_weiser_est.hh.

Referenced by Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::operator()().

intEl [4/5]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class VarDesc >

RT Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::intEl

Definition at line 572 of file bank_weiser_est.hh.

Referenced by Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::operator()().

intEl [5/5]

template<class LocalRHS , class RT , class Cache , class Evaluators >

RT Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::intEl

Definition at line 614 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::operator()().

localInd [1/6]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

LocalInd& Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::localInd

Definition at line 99 of file bank_weiser_est.hh.

Referenced by Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::operator()().

localInd [2/6]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

LocalInd& Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::localInd

Definition at line 138 of file bank_weiser_est.hh.

Referenced by Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

localInd [3/6]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

LocalInd& Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::localInd

Definition at line 224 of file bank_weiser_est.hh.

Referenced by Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::operator()().

localInd [4/6]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

LocalInd& Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::localInd

Definition at line 271 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

localInd [5/6]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

LocalInd& Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::localInd

Definition at line 668 of file bank_weiser_est.hh.

Referenced by Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::operator()().

localInd [6/6]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

LocalInd& Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::localInd

Definition at line 715 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()().

localmatrix [1/2]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class Row >

LocalMatrix& Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::localmatrix

Definition at line 547 of file bank_weiser_est.hh.

Referenced by Kaskade::LocalNormalMatrixBlock< LocalMatrix, Evaluators, RT, Cache, Row >::operator()().

localmatrix [2/2]

template<class LocalMatrix , class Evaluators , class RT , class Cache , class VarDesc >

LocalMatrix& Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::localmatrix

Definition at line 571 of file bank_weiser_est.hh.

Referenced by Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::operator()().

localRHS [1/3]

template<class LocalRHS , class RT , class Cache , class Evaluators >

LocalRHS& Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::localRHS

Definition at line 164 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduum< LocalRHS, RT, Cache, Evaluators >::operator()().

localRHS [2/3]

template<class LocalRHS , class RT , class Cache , class Evaluators >

LocalRHS& Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::localRHS

Definition at line 193 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduumMainPart< LocalRHS, RT, Cache, Evaluators >::operator()().

localRHS [3/3]

template<class LocalRHS , class RT , class Cache , class Evaluators >

LocalRHS& Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::localRHS

Definition at line 613 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakResiduumFull< LocalRHS, RT, Cache, Evaluators >::operator()().

localSolution [1/2]

template<class LocalSolution , class Evaluators , class GlobalSolution >

LocalSolution const& Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::localSolution

Definition at line 369 of file bank_weiser_est.hh.

Referenced by Kaskade::ScatterLocalSolution< LocalSolution, Evaluators, GlobalSolution >::operator()().

localSolution [2/2]

template<class LocalSolution , class Evaluators , class GlobalSolution >

LocalSolution const& Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::localSolution

Definition at line 636 of file bank_weiser_est.hh.

Referenced by Kaskade::ScatterFullLocalSolution< LocalSolution, Evaluators, GlobalSolution >::operator()().

lumped

template<class Grid , class Space >

template<class RType , class Variables >

template<int row, int col>

bool const Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::D2< row, col >::lumped = false

static

Definition at line 317 of file averaging_errorest.hh.

m

template<int Id, int PDEId, int SpaceId, int components>

int const Kaskade::EstimatorDescription< Id, PDEId, SpaceId, components >::m = components

static

Definition at line 44 of file bank_weiser_est.hh.

modarg [1/6]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::modarg

Definition at line 98 of file bank_weiser_est.hh.

Referenced by Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::HalfGradientJump(), and Kaskade::HalfGradientJump< LocalInd, RT, Cache, dim, Evaluators >::operator()().

modarg [2/6]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modarg

Definition at line 137 of file bank_weiser_est.hh.

Referenced by Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()(), and Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::StrongBoundaryValues().

modarg [3/6]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::modarg

Definition at line 223 of file bank_weiser_est.hh.

Referenced by Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::GradientAverage(), and Kaskade::GradientAverage< LocalInd, RT, Cache, dim, Evaluators >::operator()().

modarg [4/6]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modarg

Definition at line 270 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()(), and Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::WeakBoundaryValues().

modarg [5/6]

template<class LocalInd , class RT , class Cache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::modarg

Definition at line 667 of file bank_weiser_est.hh.

Referenced by Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::GradientAverageFull(), and Kaskade::GradientAverageFull< LocalInd, RT, Cache, dim, Evaluators >::operator()().

modarg [6/6]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modarg

Definition at line 714 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()(), and Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::WeakBoundaryValuesFull().

modargB [1/3]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargB

Definition at line 137 of file bank_weiser_est.hh.

Referenced by Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()(), and Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::StrongBoundaryValues().

modargB [2/3]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargB

Definition at line 270 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()(), and Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::WeakBoundaryValues().

modargB [3/3]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargB

Definition at line 714 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()(), and Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::WeakBoundaryValuesFull().

modargTest [1/3]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargTest

Definition at line 137 of file bank_weiser_est.hh.

Referenced by Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()(), and Kaskade::StrongBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::StrongBoundaryValues().

modargTest [2/3]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargTest

Definition at line 270 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()(), and Kaskade::WeakBoundaryValues< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::WeakBoundaryValues().

modargTest [3/3]

template<class LocalInd , class RT , class Cache , class BoundaryCache , int dim, class Evaluators >

VariationalArg<RT,dim> Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::modargTest

Definition at line 714 of file bank_weiser_est.hh.

Referenced by Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::operator()(), and Kaskade::WeakBoundaryValuesFull< LocalInd, RT, Cache, BoundaryCache, dim, Evaluators >::WeakBoundaryValuesFull().

pdeid

template<int Id, int PDEId, int SpaceId, int components>

int const Kaskade::EstimatorDescription< Id, PDEId, SpaceId, components >::pdeid = PDEId

static

Definition at line 42 of file bank_weiser_est.hh.

present

template<class Grid , class Space >

template<class RType , class Variables >

template<int row, int col>

bool const Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::D2< row, col >::present = true

static

Definition at line 316 of file averaging_errorest.hh.

spaceIndex

template<int Id, int PDEId, int SpaceId, int components>

int const Kaskade::EstimatorDescription< Id, PDEId, SpaceId, components >::spaceIndex = SpaceId

static

Definition at line 43 of file bank_weiser_est.hh.

symmetric

template<class Grid , class Space >

template<class RType , class Variables >

template<int row, int col>

bool const Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::D2< row, col >::symmetric = true

static

Definition at line 318 of file averaging_errorest.hh.

syst

template<class Description , class Grid , class Functional , class FunctionalSimpl >

int const Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::syst = SystDim<RecoverySpace::dim>::value

static

Definition at line 880 of file bank_weiser_est.hh.

systFull

template<class Description , class Grid , class Functional , class FunctionalSimpl >

int const Kaskade::BWErrorFunction< Description, Grid, Functional, FunctionalSimpl >::systFull = SystDimFull<RecoverySpace::dim>::value

static

Definition at line 881 of file bank_weiser_est.hh.

type

template<class Grid , class Space >

template<class RType , class Variables >

ProblemType const Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::type = VariationalFunctional

static

Definition at line 266 of file averaging_errorest.hh.

value [1/2]

template<int dim>

const int Kaskade::SystDim< dim >::value = (dim+1)+3*(dim-1)

static

Definition at line 66 of file bank_weiser_est.hh.

value [2/2]

template<int dim>

const int Kaskade::SystDimFull< dim >::value = (dim+1)+3*(dim-1)

static

Definition at line 72 of file bank_weiser_est.hh.

varDesc

template<class LocalMatrix , class Evaluators , class RT , class Cache , class VarDesc >

VarDesc Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::varDesc

Definition at line 570 of file bank_weiser_est.hh.

Referenced by Kaskade::LocalNormalMatrixRow< LocalMatrix, Evaluators, RT, Cache, VarDesc >::operator()().

x

template<class Grid , class Space >

template<class RType , class Variables >

ErrorGradientFunction const& Kaskade::HigherOrderRecovery< Grid, Space >::HigherOrderRecoveryFunctional< RType, Variables >::x

Definition at line 310 of file averaging_errorest.hh.