Kaskade::BDDC Namespace Reference

Classes
class	BDDCSolver
	Balanced Domain Decomposition with Constraints preconditioner. More...
class	InterfaceAverages
	A class for computing and providing BDDC coarse space constraints (interface averages). More...
class	KKTSolver
	A class for solving a block-diagonal-structured KKT system. More...
struct	LocalDof
	A pair \( (s,i) \) of subdomain id \( s \) and local dof index \( i \) denotes a subdomain-local reference to a global dof. More...
class	SharedMemoryDomain
	A class that orchestrates the exchange of data between BDDC subdomains. More...
class	SpaceTransfer
	A trivial BDDC space transfer. More...
class	SpaceTransferBase
	Base class for BDDC SpaceTransfer implementations. More...
class	Subdomain
	A class representing small KKT systems on a single subdomain. More...

Typedefs
using	CoarseConstraints = std::vector< std::pair< std::vector< int >, int > >
	A data structure describing coarse constraints. More...
using	Interfaces = std::vector< std::pair< int, std::vector< int > > >
	A data structure describing the interfaces of a subdomain. More...

Enumerations
enum	InterfaceType { CORNER = 1 , EDGE = 2 , FACE = 4 }
	Discrimination of different interface types. More...

Functions
template<class Index >
std::vector< std::vector< Index > >	algebraicDomainDecomposition (NumaCRSPattern< Index > const &A, int n)
	Creates a decomposition of indices into overlapping subsets that can be used for constructing nonoverlapping domain decomposition solvers. More...
template<class Scalar , class Index >
std::vector< NumaBCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 >, Index > >	algebraicMatrixDecomposition (NumaBCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 >, Index > const &A, std::vector< std::vector< Index > > const &subIndices, Scalar tolerance, int maxIter)
template<class Scalar , int m, class Index >
std::tuple< std::vector< NumaBCRSMatrix< Dune::FieldMatrix< Scalar, m, m >, Index > >, std::vector< Dune::BlockVector< Dune::FieldVector< Scalar, m > > >, std::vector< std::vector< Index > >, std::vector< std::vector< LocalDof > > >	matrixDomainDecommposition (NumaBCRSMatrix< Dune::FieldMatrix< Scalar, m, m >, Index > const &A, Dune::BlockVector< Dune::FieldVector< Scalar, m > > const &f, int n, Scalar tolerance=1000 *std::numeric_limits< Scalar >::epsilon(), int maxIter=100)

Typedef Documentation

CoarseConstraints

using Kaskade::BDDC::CoarseConstraints = typedef std::vector<std::pair<std::vector<int>,int> >

A data structure describing coarse constraints.

Each constraint is described by a pair \( (s,m) \), where \( s \) is a list of subdomains affected by the constraint, and \( m \) is the dimension of the constraint.

Definition at line 41 of file bddc.hh.

Function Documentation

algebraicMatrixDecomposition()

template<class Scalar , class Index >

std::vector< NumaBCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 >, Index > > Kaskade::BDDC::algebraicMatrixDecomposition	(	NumaBCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 >, Index > const &	A,
		std::vector< std::vector< Index > > const &	subIndices,
		Scalar	tolerance,
		int	maxIter
	)

Referenced by matrixDomainDecommposition().