dealii::MatrixFreeProjector< dim, OperatorType, Number > Class Template Reference

#include <multigrid_amg.h>

Public Member Functions
	MatrixFreeProjector (const OperatorType &mf_operator_, const std::vector< TrilinosWrappers::SparseMatrix * > transfers_)
void	compute_level_matrices (MGLevelObject< LinearOperatorMG< VectorType, VectorType > > &mg_matrices)

Private Types
using	VectorType = LinearAlgebra::distributed::Vector<Number>

Private Attributes
MPI_Comm	communicator
const OperatorType *	mf_operator
std::vector< TrilinosWrappers::SparseMatrix * >	transfer_matrices
std::vector< LinearOperatorMG< VectorType, VectorType > >	level_operators
LinearOperatorMG< VectorType, VectorType >	mf_linear_operator

Detailed Description

template<int dim, typename OperatorType, typename Number = double>
class dealii::MatrixFreeProjector< dim, OperatorType, Number >

This class is responsible for the setup of level matrices for a given (matrix-free) operator evaluation. Such level matrices are the "level matrices" to be used in a multigrid method. The difference compared to standard multilevel methods is that we construct such matrices using a Galerkin projection.

Definition at line 42 of file multigrid_amg.h.

Member Typedef Documentation

VectorType

template<int dim, typename OperatorType , typename Number = double>

using dealii::MatrixFreeProjector< dim, OperatorType, Number >::VectorType = LinearAlgebra::distributed::Vector<Number>

private

Definition at line 45 of file multigrid_amg.h.

Constructor & Destructor Documentation

MatrixFreeProjector()

template<int dim, typename OperatorType , typename Number = double>

dealii::MatrixFreeProjector< dim, OperatorType, Number >::MatrixFreeProjector ( const OperatorType & mf_operator_, const std::vector< TrilinosWrappers::SparseMatrix * > transfers_ )

inline

Constructor. It takes the matrix-free operator evaluation on the finest level, and a series of transfers from levels.

Definition at line 76 of file multigrid_amg.h.

References Assert, dealii::MatrixFreeProjector< dim, OperatorType, Number >::communicator, l(), dealii::MatrixFreeProjector< dim, OperatorType, Number >::level_operators, dealii::MatrixFreeProjector< dim, OperatorType, Number >::mf_linear_operator, dealii::MatrixFreeProjector< dim, OperatorType, Number >::mf_operator, LinearAlgebra::distributed::Vector< typename Number, typename MemorySpace >::reinit(), and dealii::MatrixFreeProjector< dim, OperatorType, Number >::transfer_matrices.

Member Function Documentation

compute_level_matrices()

template<int dim, typename OperatorType , typename Number = double>

void dealii::MatrixFreeProjector< dim, OperatorType, Number >::compute_level_matrices ( MGLevelObject< LinearOperatorMG< VectorType, VectorType > > & mg_matrices )

inline

Initialize level matrices using the operator evaluation and the transfer matrices provided in the constructor.

In particular, matrix[0]= A0, while for the other levels it holds that: matrix[l] = P_l^T A0 P_l, being P_l the injection from the fine level (indexed by 0) and level l.

Definition at line 176 of file multigrid_amg.h.

References Assert, l(), dealii::MatrixFreeProjector< dim, OperatorType, Number >::level_operators, dealii::MatrixFreeProjector< dim, OperatorType, Number >::mf_linear_operator, and transpose_operator().

Member Data Documentation

communicator

template<int dim, typename OperatorType , typename Number = double>

MPI_Comm dealii::MatrixFreeProjector< dim, OperatorType, Number >::communicator

private

MPI communicator used by Trilinos objects.

Definition at line 49 of file multigrid_amg.h.

Referenced by dealii::MatrixFreeProjector< dim, OperatorType, Number >::MatrixFreeProjector().

level_operators

template<int dim, typename OperatorType , typename Number = double>

std::vector<LinearOperatorMG<VectorType, VectorType> > dealii::MatrixFreeProjector< dim, OperatorType, Number >::level_operators

private

LinearOperatorMG for each level, storing Galerkin projections.

Definition at line 64 of file multigrid_amg.h.

Referenced by dealii::MatrixFreeProjector< dim, OperatorType, Number >::compute_level_matrices(), and dealii::MatrixFreeProjector< dim, OperatorType, Number >::MatrixFreeProjector().

mf_linear_operator

template<int dim, typename OperatorType , typename Number = double>

LinearOperatorMG<VectorType, VectorType> dealii::MatrixFreeProjector< dim, OperatorType, Number >::mf_linear_operator

private

For matrix-free operator evaluation

Definition at line 69 of file multigrid_amg.h.

Referenced by dealii::MatrixFreeProjector< dim, OperatorType, Number >::compute_level_matrices(), and dealii::MatrixFreeProjector< dim, OperatorType, Number >::MatrixFreeProjector().

mf_operator

template<int dim, typename OperatorType , typename Number = double>

const OperatorType* dealii::MatrixFreeProjector< dim, OperatorType, Number >::mf_operator

private

Matrix-free operator evaluation.

Definition at line 54 of file multigrid_amg.h.

Referenced by dealii::MatrixFreeProjector< dim, OperatorType, Number >::MatrixFreeProjector().

transfer_matrices

template<int dim, typename OperatorType , typename Number = double>

std::vector<TrilinosWrappers::SparseMatrix *> dealii::MatrixFreeProjector< dim, OperatorType, Number >::transfer_matrices

private

Vector of (pointers of) Trilinos Matrices storing two-level projections.

Definition at line 59 of file multigrid_amg.h.

Referenced by dealii::MatrixFreeProjector< dim, OperatorType, Number >::MatrixFreeProjector().

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The documentation for this class was generated from the following file:

• /github/workspace/include/multigrid_amg.h