Kaskade::MultiGridSolver_Detail Namespace Reference

Classes
class	MultiLevelStack
class	ParentalNodes
	Finds the parent nodes and their interpolation weight for each node in the grid. usage eg.: ParentalNodes<Grid> parentalNodes( gridManager.grid() );. More...

Typedefs
template<class Scalar , int n, class Allocator >
using	BlockVector = Dune::BlockVector< Dune::FieldVector< Scalar, n >, Allocator >

Functions
template<class Scalar , int n, bool resetSolution = false>
void	axpy (Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > const &P, Dune::BlockVector< Dune::FieldVector< Scalar, n > > const &x, Dune::BlockVector< Dune::FieldVector< Scalar, n > > &y, Scalar alpha=1.0)
	Compute \( y = \alpha Px+y \). If resetSolution=true computes \( y = \alpha Px \). More...
template<class Scalar , int n, bool resetSolution = false>
void	atxpy (Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > const &P, Dune::BlockVector< Dune::FieldVector< Scalar, n > > const &x, Dune::BlockVector< Dune::FieldVector< Scalar, n > > &y, Scalar alpha=1.0)
	Compute \( y = \alpha P^T x+y \). If resetSolution=true computes \( y = \alpha P^T x \). More...
template<class Scalar , int n>
void	applyProlongation (Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > const &P, Dune::BlockVector< Dune::FieldVector< Scalar, n > > const &x, Dune::BlockVector< Dune::FieldVector< Scalar, n > > &y)
template<class Scalar , int n>
void	applyTransposedProlongation (Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > const &P, Dune::BlockVector< Dune::FieldVector< Scalar, n > > const &x, Dune::BlockVector< Dune::FieldVector< Scalar, n > > &y)
template<class Grid , class Scalar = double>
std::vector< Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > >	computeProlongations (const Grid &grd)
	Compute prolongation matrices between consecutive grid levels. More...

Typedef Documentation

BlockVector

template<class Scalar , int n, class Allocator >

using Kaskade::MultiGridSolver_Detail::BlockVector = typedef Dune::BlockVector<Dune::FieldVector<Scalar,n>,Allocator>

Definition at line 42 of file multiGridSolver.hh.

Function Documentation

applyProlongation()

template<class Scalar , int n>

void Kaskade::MultiGridSolver_Detail::applyProlongation	(	Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > const &	P,
		Dune::BlockVector< Dune::FieldVector< Scalar, n > > const &	x,
		Dune::BlockVector< Dune::FieldVector< Scalar, n > > &	y
	)

Definition at line 83 of file multiGridSolver.hh.

applyTransposedProlongation()

template<class Scalar , int n>

void Kaskade::MultiGridSolver_Detail::applyTransposedProlongation	(	Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > const &	P,
		Dune::BlockVector< Dune::FieldVector< Scalar, n > > const &	x,
		Dune::BlockVector< Dune::FieldVector< Scalar, n > > &	y
	)

Definition at line 91 of file multiGridSolver.hh.

atxpy()

template<class Scalar , int n, bool resetSolution = false>

void Kaskade::MultiGridSolver_Detail::atxpy	(	Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > const &	P,
		Dune::BlockVector< Dune::FieldVector< Scalar, n > > const &	x,
		Dune::BlockVector< Dune::FieldVector< Scalar, n > > &	y,
		Scalar	alpha = 1.0
	)

Compute \( y = \alpha P^T x+y \). If resetSolution=true computes \( y = \alpha P^T x \).

Definition at line 65 of file multiGridSolver.hh.

axpy()

template<class Scalar , int n, bool resetSolution = false>

void Kaskade::MultiGridSolver_Detail::axpy	(	Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > const &	P,
		Dune::BlockVector< Dune::FieldVector< Scalar, n > > const &	x,
		Dune::BlockVector< Dune::FieldVector< Scalar, n > > &	y,
		Scalar	alpha = 1.0
	)

Compute \( y = \alpha Px+y \). If resetSolution=true computes \( y = \alpha Px \).

Definition at line 46 of file multiGridSolver.hh.

Referenced by Kaskade::NumaVector< Entry >::axpy(), Kaskade::CoarseningDetail::ProjectCoefficients< Projectors >::operator()(), and Kaskade::Sdc< Vector >::setInitialValue().

computeProlongations()

template<class Grid , class Scalar = double>

std::vector< Dune::BCRSMatrix< Dune::FieldMatrix< Scalar, 1, 1 > > > Kaskade::MultiGridSolver_Detail::computeProlongations

(

const Grid &

grd

)

Compute prolongation matrices between consecutive grid levels.

Definition at line 240 of file multiGridSolver.hh.