#include <deal.II/lac/trilinos_block_sparse_matrix.h>

Inheritance diagram for TrilinosWrappers::BlockSparseMatrix:

Public Types
typedef BlockMatrixBase< SparseMatrix >	BaseClass

typedef BaseClass::BlockType	BlockType

typedef BaseClass::value_type	value_type

Public Types inherited from BlockMatrixBase< SparseMatrix >
typedef SparseMatrix	BlockType

typedef BlockType::value_type	value_type

Public Member Functions
	BlockSparseMatrix ()=default

	~BlockSparseMatrix ()

BlockSparseMatrix &	operator= (const BlockSparseMatrix &)=default

BlockSparseMatrix &	operator= (const double d)

void	reinit (const size_type n_block_rows, const size_type n_block_columns)

template<typename BlockSparsityPatternType >
void	reinit (const std::vector< Epetra_Map > &input_maps, const BlockSparsityPatternType &block_sparsity_pattern, const bool exchange_data=false)

template<typename BlockSparsityPatternType >
void	reinit (const std::vector< IndexSet > &input_maps, const BlockSparsityPatternType &block_sparsity_pattern, const MPI_Comm &communicator=MPI_COMM_WORLD, const bool exchange_data=false)

template<typename BlockSparsityPatternType >
void	reinit (const BlockSparsityPatternType &block_sparsity_pattern)

void	reinit (const std::vector< Epetra_Map > &input_maps, const ::BlockSparseMatrix< double > &deal_ii_sparse_matrix, const double drop_tolerance=1e-13)

void	reinit (const ::BlockSparseMatrix< double > &deal_ii_sparse_matrix, const double drop_tolerance=1e-13)

bool	is_compressed () const

void	collect_sizes ()

size_type	n_nonzero_elements () const

MPI_Comm	get_mpi_communicator () const

std::vector< Epetra_Map >	domain_partitioner () const

std::vector< Epetra_Map >	range_partitioner () const

std::vector< IndexSet >	locally_owned_domain_indices () const

std::vector< IndexSet >	locally_owned_range_indices () const

template<typename VectorType1 , typename VectorType2 >
void	vmult (VectorType1 &dst, const VectorType2 &src) const

template<typename VectorType1 , typename VectorType2 >
void	Tvmult (VectorType1 &dst, const VectorType2 &src) const

TrilinosScalar	residual (MPI::BlockVector &dst, const MPI::BlockVector &x, const MPI::BlockVector &b) const

TrilinosScalar	residual (MPI::BlockVector &dst, const MPI::Vector &x, const MPI::BlockVector &b) const

TrilinosScalar	residual (MPI::Vector &dst, const MPI::BlockVector &x, const MPI::Vector &b) const

TrilinosScalar	residual (MPI::Vector &dst, const MPI::Vector &x, const MPI::Vector &b) const

Public Member Functions inherited from BlockMatrixBase< SparseMatrix >
	BlockMatrixBase ()=default

	~BlockMatrixBase ()

BlockMatrixBase &	copy_from (const BlockMatrixType &source)

BlockType &	block (const unsigned int row, const unsigned int column)

const BlockType &	block (const unsigned int row, const unsigned int column) const

size_type	m () const

size_type	n () const

unsigned int	n_block_rows () const

unsigned int	n_block_cols () const

void	set (const size_type i, const size_type j, const value_type value)

void	set (const std::vector< size_type > &indices, const FullMatrix< number > &full_matrix, const bool elide_zero_values=false)

void	set (const std::vector< size_type > &row_indices, const std::vector< size_type > &col_indices, const FullMatrix< number > &full_matrix, const bool elide_zero_values=false)

void	set (const size_type row, const std::vector< size_type > &col_indices, const std::vector< number > &values, const bool elide_zero_values=false)

void	set (const size_type row, const size_type n_cols, const size_type col_indices, const number values, const bool elide_zero_values=false)

void	add (const size_type i, const size_type j, const value_type value)

void	add (const std::vector< size_type > &indices, const FullMatrix< number > &full_matrix, const bool elide_zero_values=true)

void	add (const std::vector< size_type > &row_indices, const std::vector< size_type > &col_indices, const FullMatrix< number > &full_matrix, const bool elide_zero_values=true)

void	add (const size_type row, const std::vector< size_type > &col_indices, const std::vector< number > &values, const bool elide_zero_values=true)

void	add (const size_type row, const size_type n_cols, const size_type col_indices, const number values, const bool elide_zero_values=true, const bool col_indices_are_sorted=false)

void	add (const value_type factor, const BlockMatrixBase< SparseMatrix > &matrix)

value_type	operator() (const size_type i, const size_type j) const

value_type	el (const size_type i, const size_type j) const

value_type	diag_element (const size_type i) const

void	compress (::VectorOperation::values operation)

BlockMatrixBase &	operator*= (const value_type factor)

BlockMatrixBase &	operator/= (const value_type factor)

void	vmult_add (BlockVectorType &dst, const BlockVectorType &src) const

void	Tvmult_add (BlockVectorType &dst, const BlockVectorType &src) const

value_type	matrix_norm_square (const BlockVectorType &v) const

value_type	matrix_scalar_product (const BlockVectorType &u, const BlockVectorType &v) const

value_type	residual (BlockVectorType &dst, const BlockVectorType &x, const BlockVectorType &b) const

void	print (std::ostream &out, const bool alternative_output=false) const

iterator	begin ()

iterator	begin (const size_type r)

const_iterator	begin () const

const_iterator	begin (const size_type r) const

iterator	end ()

iterator	end (const size_type r)

const_iterator	end () const

const_iterator	end (const size_type r) const

const BlockIndices &	get_row_indices () const

const BlockIndices &	get_column_indices () const

std::size_t	memory_consumption () const

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

	Subscriptor (Subscriptor &&) noexcept

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&) noexcept

void	subscribe (const char *identifier=nullptr) const

void	unsubscribe (const char *identifier=nullptr) const

unsigned int	n_subscriptions () const

void	list_subscribers () const

template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Static Public Member Functions
static ::ExceptionBase &	ExcIncompatibleRowNumbers (int arg1, int arg2, int arg3, int arg4)

static ::ExceptionBase &	ExcIncompatibleColNumbers (int arg1, int arg2, int arg3, int arg4)

Static Public Member Functions inherited from BlockMatrixBase< SparseMatrix >
static ::ExceptionBase &	ExcIncompatibleRowNumbers (int arg1, int arg2, int arg3, int arg4)

static ::ExceptionBase &	ExcIncompatibleColNumbers (int arg1, int arg2, int arg3, int arg4)

Static Public Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)

static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)

Private Member Functions
template<typename VectorType1 , typename VectorType2 >
void	vmult (VectorType1 &dst, const VectorType2 &src, const bool transpose, const std::integral_constant< bool, true >, const std::integral_constant< bool, true >) const

template<typename VectorType1 , typename VectorType2 >
void	vmult (VectorType1 &dst, const VectorType2 &src, const bool transpose, const std::integral_constant< bool, false >, const std::integral_constant< bool, true >) const

template<typename VectorType1 , typename VectorType2 >
void	vmult (VectorType1 &dst, const VectorType2 &src, const bool transpose, const std::integral_constant< bool, true >, const std::integral_constant< bool, false >) const

template<typename VectorType1 , typename VectorType2 >
void	vmult (VectorType1 &dst, const VectorType2 &src, const bool transpose, const std::integral_constant< bool, false >, const std::integral_constant< bool, false >) const

Additional Inherited Members
Protected Member Functions inherited from BlockMatrixBase< SparseMatrix >
void	clear ()

void	collect_sizes ()

void	vmult_block_block (BlockVectorType &dst, const BlockVectorType &src) const

void	vmult_block_nonblock (BlockVectorType &dst, const VectorType &src) const

void	vmult_nonblock_block (VectorType &dst, const BlockVectorType &src) const

void	vmult_nonblock_nonblock (VectorType &dst, const VectorType &src) const

void	Tvmult_block_block (BlockVectorType &dst, const BlockVectorType &src) const

void	Tvmult_block_nonblock (BlockVectorType &dst, const VectorType &src) const

void	Tvmult_nonblock_block (VectorType &dst, const BlockVectorType &src) const

void	Tvmult_nonblock_nonblock (VectorType &dst, const VectorType &src) const

void	prepare_add_operation ()

void	prepare_set_operation ()

Protected Attributes inherited from BlockMatrixBase< SparseMatrix >
BlockIndices	row_block_indices

Table< 2, SmartPointer< BlockType, BlockMatrixBase< SparseMatrix > > >	sub_objects

Detailed Description

Blocked sparse matrix based on the TrilinosWrappers::SparseMatrix class. This class implements the functions that are specific to the Trilinos SparseMatrix base objects for a blocked sparse matrix, and leaves the actual work relaying most of the calls to the individual blocks to the functions implemented in the base class. See there also for a description of when this class is useful.

In contrast to the deal.II-type SparseMatrix class, the Trilinos matrices do not have external objects for the sparsity patterns. Thus, one does not determine the size of the individual blocks of a block matrix of this type by attaching a block sparsity pattern, but by calling reinit() to set the number of blocks and then by setting the size of each block separately. In order to fix the data structures of the block matrix, it is then necessary to let it know that we have changed the sizes of the underlying matrices. For this, one has to call the collect_sizes() function, for much the same reason as is documented with the BlockSparsityPattern class.

@ Block (linear algebra)

Author: Martin Kronbichler, Wolfgang Bangerth, 2008

Definition at line 71 of file trilinos_block_sparse_matrix.h.

Member Typedef Documentation

◆ BaseClass

typedef BlockMatrixBase<SparseMatrix> TrilinosWrappers::BlockSparseMatrix::BaseClass

Typedef the base class for simpler access to its own typedefs.

Definition at line 77 of file trilinos_block_sparse_matrix.h.

◆ BlockType

typedef BaseClass::BlockType TrilinosWrappers::BlockSparseMatrix::BlockType

Typedef the type of the underlying matrix.

Definition at line 82 of file trilinos_block_sparse_matrix.h.

◆ value_type

typedef BaseClass::value_type TrilinosWrappers::BlockSparseMatrix::value_type

Import the typedefs from the base class.

Definition at line 87 of file trilinos_block_sparse_matrix.h.

Constructor & Destructor Documentation

◆ BlockSparseMatrix()

TrilinosWrappers::BlockSparseMatrix::BlockSparseMatrix ( )

default

Constructor; initializes the matrix to be empty, without any structure, i.e. the matrix is not usable at all. This constructor is therefore only useful for matrices which are members of a class. All other matrices should be created at a point in the data flow where all necessary information is available.

You have to initialize the matrix before usage with reinit(BlockSparsityPattern). The number of blocks per row and column are then determined by that function.

◆ ~BlockSparseMatrix()

BlockSparseMatrix< number >::~BlockSparseMatrix ( )

Destructor.

Definition at line 27 of file trilinos_block_sparse_matrix.cc.

Member Function Documentation

◆ operator=() [1/2]

BlockSparseMatrix& TrilinosWrappers::BlockSparseMatrix::operator= ( const BlockSparseMatrix & )

default

Pseudo copy operator only copying empty objects. The sizes of the block matrices need to be the same.

◆ operator=() [2/2]

BlockSparseMatrix & BlockSparseMatrix< number >::operator= ( const double d )

inline

This operator assigns a scalar to a matrix. Since this does usually not make much sense (should we set all matrix entries to this value? Only the nonzero entries of the sparsity pattern?), this operation is only allowed if the actual value to be assigned is zero. This operator only exists to allow for the obvious notation matrix=0, which sets all elements of the matrix to zero, but keep the sparsity pattern previously used.

Definition at line 423 of file trilinos_block_sparse_matrix.h.

◆ reinit() [1/6]

void TrilinosWrappers::BlockSparseMatrix::reinit	(	const size_type	n_block_rows,
		const size_type	n_block_columns
	)

Resize the matrix, by setting the number of block rows and columns. This deletes all blocks and replaces them with uninitialized ones, i.e. ones for which also the sizes are not yet set. You have to do that by calling the reinit functions of the blocks themselves. Do not forget to call collect_sizes() after that on this object.

The reason that you have to set sizes of the blocks yourself is that the sizes may be varying, the maximum number of elements per row may be varying, etc. It is simpler not to reproduce the interface of the SparsityPattern class here but rather let the user call whatever function she desires.

◆ reinit() [2/6]

template<typename BlockSparsityPatternType >

void BlockSparseMatrix< BlockSparsityPatternType >::reinit	(	const std::vector< Epetra_Map > &	input_maps,
		const BlockSparsityPatternType &	block_sparsity_pattern,
		const bool	exchange_data = `false`
	)

Resize the matrix, by using an array of Epetra maps to determine the parallel distribution of the individual matrices. This function assumes that a quadratic block matrix is generated.

Definition at line 75 of file trilinos_block_sparse_matrix.cc.

◆ reinit() [3/6]

template<typename BlockSparsityPatternType >

void BlockSparseMatrix< BlockSparsityPatternType >::reinit	(	const std::vector< IndexSet > &	input_maps,
		const BlockSparsityPatternType &	block_sparsity_pattern,
		const MPI_Comm &	communicator = `MPI_COMM_WORLD`,
		const bool	exchange_data = `false`
	)

Resize the matrix, by using an array of index sets to determine the parallel distribution of the individual matrices. This function assumes that a quadratic block matrix is generated.

Definition at line 122 of file trilinos_block_sparse_matrix.cc.

◆ reinit() [4/6]

template<typename BlockSparsityPatternType >

void BlockSparseMatrix< BlockSparsityPatternType >::reinit ( const BlockSparsityPatternType & block_sparsity_pattern )

Resize the matrix and initialize it by the given sparsity pattern. Since no distribution map is given, the result is a block matrix for which all elements are stored locally.

Definition at line 141 of file trilinos_block_sparse_matrix.cc.

◆ reinit() [5/6]

void BlockSparseMatrix< number >::reinit	(	const std::vector< Epetra_Map > &	input_maps,
		const ::BlockSparseMatrix< double > &	deal_ii_sparse_matrix,
		const double	drop_tolerance = `1e-13`
	)

This function initializes the Trilinos matrix using the deal.II sparse matrix and the entries stored therein. It uses a threshold to copy only elements whose modulus is larger than the threshold (so zeros in the deal.II matrix can be filtered away).

Deprecated:: Use the respective method with IndexSet arguments instead.

Definition at line 182 of file trilinos_block_sparse_matrix.cc.

◆ reinit() [6/6]

void BlockSparseMatrix< number >::reinit	(	const ::BlockSparseMatrix< double > &	deal_ii_sparse_matrix,
		const double	drop_tolerance = `1e-13`
	)

This function initializes the Trilinos matrix using the deal.II sparse matrix and the entries stored therein. It uses a threshold to copy only elements whose modulus is larger than the threshold (so zeros in the deal.II matrix can be filtered away). Since no Epetra_Map is given, all the elements will be locally stored.

Definition at line 216 of file trilinos_block_sparse_matrix.cc.

◆ is_compressed()

bool BlockSparseMatrix< number >::is_compressed ( ) const

inline

Return the state of the matrix, i.e., whether compress() needs to be called after an operation requiring data exchange. Does only return non-true values when used in debug mode, since it is quite expensive to keep track of all operations that lead to the need for compress().

Definition at line 438 of file trilinos_block_sparse_matrix.h.

◆ collect_sizes()

void BlockSparseMatrix< number >::collect_sizes ( )

This function collects the sizes of the sub-objects and stores them in internal arrays, in order to be able to relay global indices into the matrix to indices into the subobjects. You must call this function each time after you have changed the size of the sub-objects. Note that this is a collective operation, i.e., it needs to be called on all MPI processes. This command internally calls the method compress(), so you don't need to call that function in case you use collect_sizes().

Definition at line 251 of file trilinos_block_sparse_matrix.cc.

◆ n_nonzero_elements()

BlockSparseMatrix::size_type BlockSparseMatrix< number >::n_nonzero_elements ( ) const

Return the total number of nonzero elements of this matrix (summed over all MPI processes).

Definition at line 260 of file trilinos_block_sparse_matrix.cc.

◆ get_mpi_communicator()

MPI_Comm BlockSparseMatrix< number >::get_mpi_communicator ( ) const

Return the MPI communicator object in use with this matrix.

Definition at line 363 of file trilinos_block_sparse_matrix.cc.

◆ domain_partitioner()

std::vector< Epetra_Map > BlockSparseMatrix< number >::domain_partitioner ( ) const

Return a vector of the underlying Trilinos Epetra_Map that sets the partitioning of the domain space of this block matrix, i.e., the partitioning of the individual block vectors this matrix has to be multiplied with.

Deprecated:: Use the methods of the individual matrices based on IndexSet arguments.

Definition at line 333 of file trilinos_block_sparse_matrix.cc.

◆ range_partitioner()

std::vector< Epetra_Map > BlockSparseMatrix< number >::range_partitioner ( ) const

Return a vector of the underlying Trilinos Epetra_Map that sets the partitioning of the range space of this block matrix, i.e., the partitioning of the individual block vectors that are the result from matrix-vector products.

Deprecated:: Use the methods of the individual matrices based on IndexSet arguments.

Definition at line 348 of file trilinos_block_sparse_matrix.cc.

◆ locally_owned_domain_indices()

std::vector< IndexSet > BlockSparseMatrix< number >::locally_owned_domain_indices ( ) const

inline

Return the partitioning of the domain space for the individual blocks of this matrix, i.e., the partitioning of the block vectors this matrix has to be multiplied with.

Definition at line 551 of file trilinos_block_sparse_matrix.h.

◆ locally_owned_range_indices()

std::vector< IndexSet > BlockSparseMatrix< number >::locally_owned_range_indices ( ) const

inline

Return the partitioning of the range space for the individual blocks of this matrix, i.e., the partitioning of the block vectors that result from matrix-vector products.

Definition at line 567 of file trilinos_block_sparse_matrix.h.

◆ vmult() [1/5]

template<typename VectorType1 , typename VectorType2 >

void BlockSparseMatrix< VectorType1, VectorType2 >::vmult	(	VectorType1 &	dst,
		const VectorType2 &	src
	)		const

inline

Matrix-vector multiplication: let \(dst = M*src\) with \(M\) being this matrix. The vector types can be block vectors or non-block vectors (only if the matrix has only one row or column, respectively), and need to define TrilinosWrappers::SparseMatrix::vmult.

Definition at line 457 of file trilinos_block_sparse_matrix.h.

◆ Tvmult()

template<typename VectorType1 , typename VectorType2 >

void BlockSparseMatrix< VectorType1, VectorType2 >::Tvmult	(	VectorType1 &	dst,
		const VectorType2 &	src
	)		const

inline

Matrix-vector multiplication: let \(dst = M^T*src\) with \(M\) being this matrix. This function does the same as vmult() but takes the transposed matrix.

Definition at line 470 of file trilinos_block_sparse_matrix.h.

◆ residual() [1/4]

TrilinosScalar BlockSparseMatrix< number >::residual	(	MPI::BlockVector &	dst,
		const MPI::BlockVector &	x,
		const MPI::BlockVector &	b
	)		const

Compute the residual of an equation Mx=b, where the residual is defined to be r=b-Mx. Write the residual into dst. The l₂ norm of the residual vector is returned.

Source x and destination dst must not be the same vector.

Note that both vectors have to be distributed vectors generated using the same Map as was used for the matrix.

This function only applicable if the matrix only has one block row.

Definition at line 273 of file trilinos_block_sparse_matrix.cc.

◆ residual() [2/4]

TrilinosScalar BlockSparseMatrix< number >::residual	(	MPI::BlockVector &	dst,
		const MPI::Vector &	x,
		const MPI::BlockVector &	b
	)		const

Compute the residual of an equation Mx=b, where the residual is defined to be r=b-Mx. Write the residual into dst. The l₂ norm of the residual vector is returned.

This function is only applicable if the matrix only has one block row.

Definition at line 291 of file trilinos_block_sparse_matrix.cc.

◆ residual() [3/4]

TrilinosScalar BlockSparseMatrix< number >::residual	(	MPI::Vector &	dst,
		const MPI::BlockVector &	x,
		const MPI::Vector &	b
	)		const

Compute the residual of an equation Mx=b, where the residual is defined to be r=b-Mx. Write the residual into dst. The l₂ norm of the residual vector is returned.

This function is only applicable if the matrix only has one block column.

Definition at line 305 of file trilinos_block_sparse_matrix.cc.

◆ residual() [4/4]

TrilinosScalar BlockSparseMatrix< number >::residual	(	MPI::Vector &	dst,
		const MPI::Vector &	x,
		const MPI::Vector &	b
	)		const

Compute the residual of an equation Mx=b, where the residual is defined to be r=b-Mx. Write the residual into dst. The l₂ norm of the residual vector is returned.

This function is only applicable if the matrix only has one block.

Definition at line 319 of file trilinos_block_sparse_matrix.cc.

◆ vmult() [2/5]

template<typename VectorType1 , typename VectorType2 >

void BlockSparseMatrix< VectorType1, VectorType2 >::vmult	(	VectorType1 &	dst,
		const VectorType2 &	src,
		const bool	transpose,
		const std::integral_constant< bool, true >	,
		const std::integral_constant< bool, true >
	)		const

inlineprivate

Internal version of (T)vmult with two block vectors

Definition at line 483 of file trilinos_block_sparse_matrix.h.

◆ vmult() [3/5]

template<typename VectorType1 , typename VectorType2 >

void BlockSparseMatrix< VectorType1, VectorType2 >::vmult	(	VectorType1 &	dst,
		const VectorType2 &	src,
		const bool	transpose,
		const std::integral_constant< bool, false >	,
		const std::integral_constant< bool, true >
	)		const

inlineprivate

Internal version of (T)vmult where the source vector is a block vector but the destination vector is a non-block vector

Definition at line 501 of file trilinos_block_sparse_matrix.h.

◆ vmult() [4/5]

template<typename VectorType1 , typename VectorType2 >

void BlockSparseMatrix< VectorType1, VectorType2 >::vmult	(	VectorType1 &	dst,
		const VectorType2 &	src,
		const bool	transpose,
		const std::integral_constant< bool, true >	,
		const std::integral_constant< bool, false >
	)		const

inlineprivate

Internal version of (T)vmult where the source vector is a non-block vector but the destination vector is a block vector

Definition at line 518 of file trilinos_block_sparse_matrix.h.

◆ vmult() [5/5]

template<typename VectorType1 , typename VectorType2 >

void BlockSparseMatrix< VectorType1, VectorType2 >::vmult	(	VectorType1 &	dst,
		const VectorType2 &	src,
		const bool	transpose,
		const std::integral_constant< bool, false >	,
		const std::integral_constant< bool, false >
	)		const

inlineprivate

Internal version of (T)vmult where both source vector and the destination vector are non-block vectors (only defined if the matrix consists of only one block)

Definition at line 535 of file trilinos_block_sparse_matrix.h.

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

deal.II/lac/trilinos_block_sparse_matrix.h
source/lac/trilinos_block_sparse_matrix.cc

Public Types

Public Member Functions

Static Public Member Functions

Private Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ BaseClass

◆ BlockType

◆ value_type

Constructor & Destructor Documentation

◆ BlockSparseMatrix()

◆ ~BlockSparseMatrix()

Member Function Documentation

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ reinit() [1/6]

◆ reinit() [2/6]

◆ reinit() [3/6]

◆ reinit() [4/6]

◆ reinit() [5/6]

◆ reinit() [6/6]

◆ is_compressed()

◆ collect_sizes()

◆ n_nonzero_elements()

◆ get_mpi_communicator()

◆ domain_partitioner()

◆ range_partitioner()

◆ locally_owned_domain_indices()

◆ locally_owned_range_indices()

◆ vmult() [1/5]

◆ Tvmult()

◆ residual() [1/4]

◆ residual() [2/4]

◆ residual() [3/4]

◆ residual() [4/4]

◆ vmult() [2/5]

◆ vmult() [3/5]

◆ vmult() [4/5]

◆ vmult() [5/5]