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

Inheritance diagram for PETScWrappers::MPI::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 ()=default

BlockSparseMatrix &	operator= (const BlockSparseMatrix &)

BlockSparseMatrix &	operator= (const double d)

void	reinit (const size_type n_block_rows, const size_type n_block_columns)

void	reinit (const std::vector< IndexSet > &rows, const std::vector< IndexSet > &cols, const BlockDynamicSparsityPattern &bdsp, const MPI_Comm &com)

void	reinit (const std::vector< IndexSet > &sizes, const BlockDynamicSparsityPattern &bdsp, const MPI_Comm &com)

void	vmult (BlockVector &dst, const BlockVector &src) const

void	vmult (BlockVector &dst, const Vector &src) const

void	vmult (Vector &dst, const BlockVector &src) const

void	vmult (Vector &dst, const Vector &src) const

void	Tvmult (BlockVector &dst, const BlockVector &src) const

void	Tvmult (BlockVector &dst, const Vector &src) const

void	Tvmult (Vector &dst, const BlockVector &src) const

void	Tvmult (Vector &dst, const Vector &src) const

void	collect_sizes ()

std::vector< IndexSet >	locally_owned_domain_indices () const

std::vector< IndexSet >	locally_owned_range_indices () const

const MPI_Comm &	get_mpi_communicator () 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)

Additional Inherited Members
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)

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 PETScWrappers::MPI::SparseMatrix class. This class implements the functions that are specific to the PETSc 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 PETSc 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: Wolfgang Bangerth, 2004

Definition at line 68 of file petsc_parallel_block_sparse_matrix.h.

Member Typedef Documentation

◆ BaseClass

typedef BlockMatrixBase<SparseMatrix> PETScWrappers::MPI::BlockSparseMatrix::BaseClass

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

Definition at line 74 of file petsc_parallel_block_sparse_matrix.h.

◆ BlockType

typedef BaseClass::BlockType PETScWrappers::MPI::BlockSparseMatrix::BlockType

Typedef the type of the underlying matrix.

Definition at line 79 of file petsc_parallel_block_sparse_matrix.h.

◆ value_type

typedef BaseClass::value_type PETScWrappers::MPI::BlockSparseMatrix::value_type

Import the typedefs from the base class.

Definition at line 84 of file petsc_parallel_block_sparse_matrix.h.

Constructor & Destructor Documentation

◆ BlockSparseMatrix()

PETScWrappers::MPI::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()

PETScWrappers::MPI::BlockSparseMatrix::~BlockSparseMatrix ( )

default

Destructor.

Member Function Documentation

◆ operator=() [1/2]

BlockSparseMatrix & BlockSparseMatrix< number >::operator= ( const BlockSparseMatrix & m )

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

Definition at line 28 of file petsc_parallel_block_sparse_matrix.cc.

◆ 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 271 of file petsc_parallel_block_sparse_matrix.h.

◆ reinit() [1/3]

void BlockSparseMatrix< number >::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.

Definition at line 38 of file petsc_parallel_block_sparse_matrix.cc.

◆ reinit() [2/3]

void BlockSparseMatrix< number >::reinit	(	const std::vector< IndexSet > &	rows,
		const std::vector< IndexSet > &	cols,
		const BlockDynamicSparsityPattern &	bdsp,
		const MPI_Comm &	com
	)

Efficiently reinit the block matrix for a parallel computation. Only the BlockSparsityPattern of the Simple type can efficiently store large sparsity patterns in parallel, so this is the only supported argument. The IndexSets describe the locally owned range of DoFs for each block. Note that the IndexSets needs to be ascending and 1:1. For a symmetric structure hand in the same vector for the first two arguments.

Definition at line 64 of file petsc_parallel_block_sparse_matrix.cc.

◆ reinit() [3/3]

void BlockSparseMatrix< number >::reinit	(	const std::vector< IndexSet > &	sizes,
		const BlockDynamicSparsityPattern &	bdsp,
		const MPI_Comm &	com
	)

Same as above but for a symmetric structure only.

Definition at line 106 of file petsc_parallel_block_sparse_matrix.cc.

◆ vmult() [1/4]

void BlockSparseMatrix< number >::vmult	(	BlockVector &	dst,
		const BlockVector &	src
	)		const

inline

Matrix-vector multiplication: let \(dst = M*src\) with \(M\) being this matrix.

Definition at line 286 of file petsc_parallel_block_sparse_matrix.h.

◆ vmult() [2/4]

void BlockSparseMatrix< number >::vmult	(	BlockVector &	dst,
		const Vector &	src
	)		const

inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block column.

Definition at line 296 of file petsc_parallel_block_sparse_matrix.h.

◆ vmult() [3/4]

void BlockSparseMatrix< number >::vmult	(	Vector &	dst,
		const BlockVector &	src
	)		const

inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block row.

Definition at line 306 of file petsc_parallel_block_sparse_matrix.h.

◆ vmult() [4/4]

void BlockSparseMatrix< number >::vmult	(	Vector &	dst,
		const Vector &	src
	)		const

inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block.

Definition at line 316 of file petsc_parallel_block_sparse_matrix.h.

◆ Tvmult() [1/4]

void BlockSparseMatrix< number >::Tvmult	(	BlockVector &	dst,
		const BlockVector &	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 325 of file petsc_parallel_block_sparse_matrix.h.

◆ Tvmult() [2/4]

void BlockSparseMatrix< number >::Tvmult	(	BlockVector &	dst,
		const Vector &	src
	)		const

inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block row.

Definition at line 335 of file petsc_parallel_block_sparse_matrix.h.

◆ Tvmult() [3/4]

void BlockSparseMatrix< number >::Tvmult	(	Vector &	dst,
		const BlockVector &	src
	)		const

inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block column.

Definition at line 345 of file petsc_parallel_block_sparse_matrix.h.

◆ Tvmult() [4/4]

void BlockSparseMatrix< number >::Tvmult	(	Vector &	dst,
		const Vector &	src
	)		const

inline

Matrix-vector multiplication. Just like the previous function, but only applicable if the matrix has only one block.

Definition at line 355 of file petsc_parallel_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.

Definition at line 116 of file petsc_parallel_block_sparse_matrix.cc.

◆ locally_owned_domain_indices()

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

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

Definition at line 122 of file petsc_parallel_block_sparse_matrix.cc.

◆ locally_owned_range_indices()

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

Return the partitioning of the range space of this matrix, i.e., the partitioning of the vectors that are result from matrix-vector products.

Definition at line 133 of file petsc_parallel_block_sparse_matrix.cc.

◆ get_mpi_communicator()

const MPI_Comm & BlockSparseMatrix< number >::get_mpi_communicator ( ) const

Return a reference to the MPI communicator object in use with this matrix.

Definition at line 144 of file petsc_parallel_block_sparse_matrix.cc.

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

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

Public Types

Public 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() [1/3]

◆ reinit() [2/3]

◆ reinit() [3/3]

◆ vmult() [1/4]

◆ vmult() [2/4]

◆ vmult() [3/4]

◆ vmult() [4/4]

◆ Tvmult() [1/4]

◆ Tvmult() [2/4]

◆ Tvmult() [3/4]

◆ Tvmult() [4/4]

◆ collect_sizes()

◆ locally_owned_domain_indices()

◆ locally_owned_range_indices()

◆ get_mpi_communicator()