Iterative Solvers supporting block recursive matrix and vector classes at compile time. More...

Modules
	Iterative Solvers

	Communication Interface

	Sparse Matrix and Vector classes
	Matrix and Vector classes that support a block recursive structure capable of representing the natural structure from Finite Element discretisations.

Files
file	ldl.hh
	Class for using LDL with ISTL matrices.

file	spqr.hh
	Class for using SPQR with ISTL matrices.

file	superlu.hh
	Classes for using SuperLU with ISTL matrices.

file	umfpack.hh
	Classes for using UMFPack with ISTL matrices.

Classes
class	Dune::ILUSubdomainSolver< M, X, Y >
	base class encapsulating common algorithms of ILU0SubdomainSolver and ILUNSubdomainSolver. More...

class	Dune::ILU0SubdomainSolver< M, X, Y >
	Exact subdomain solver using ILU(p) with appropriate p. More...

class	Dune::ISTLError
	derive error class from the base class in common More...

class	Dune::BCRSMatrixError
	Error specific to BCRSMatrix. More...

class	Dune::ImplicitModeCompressionBufferExhausted
	Thrown when the compression buffer used by the implicit BCRSMatrix construction is exhausted. More...

class	Dune::SolverAbort
	Thrown when a solver aborts due to some problem. More...

class	Dune::MatrixBlockError
	Error when performing an operation on a matrix block. More...

class	Dune::SeqOverlappingSchwarz< M, X, TM, TD, TA >
	Sequential overlapping Schwarz preconditioner. More...

class	Dune::LDL< Matrix >
	Use the LDL package to directly solve linear systems – empty default class. More...

class	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >
	The LDL direct sparse solver for matrices of type BCRSMatrix. More...

class	Dune::SPQR< Matrix >
	Use the SPQR package to directly solve linear systems – empty default class. More...

class	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >
	The SPQR direct sparse solver for matrices of type BCRSMatrix. More...

class	Dune::SuperLU< M >
	SuperLu Solver. More...

class	Dune::UMFPack< M >
	The UMFPack direct sparse solver. More...

Typedefs
typedef Dune::BCRSMatrix< FieldMatrix< T, n, m >, A >	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::Matrix
	The matrix type.

typedef Dune::ISTL::Impl::BCCSMatrix< T, int >	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDLMatrix
	The corresponding SuperLU Matrix type.

typedef ISTL::Impl::BCCSMatrixInitializer< BCRSMatrix< FieldMatrix< T, n, m >, A >, int >	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::MatrixInitializer
	Type of an associated initializer class.

typedef Dune::BlockVector< FieldVector< T, m >, typename std::allocator_traits< A >::template rebind_alloc< FieldVector< T, m > > >	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::domain_type
	The type of the domain of the solver.

typedef Dune::BlockVector< FieldVector< T, n >, typename std::allocator_traits< A >::template rebind_alloc< FieldVector< T, n > > >	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::range_type
	The type of the range of the solver.

typedef Dune::BCRSMatrix< FieldMatrix< T, n, m >, A >	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::Matrix
	The matrix type.

typedef ISTL::Impl::BCCSMatrix< T, int >	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQRMatrix
	The corresponding SuperLU Matrix type.

typedef ISTL::Impl::BCCSMatrixInitializer< BCRSMatrix< FieldMatrix< T, n, m >, A >, int >	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::MatrixInitializer
	Type of an associated initializer class.

typedef Dune::BlockVector< FieldVector< T, m >, typename std::allocator_traits< A >::template rebind_alloc< FieldVector< T, m > > >	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::domain_type
	The type of the domain of the solver.

typedef Dune::BlockVector< FieldVector< T, n >, typename std::allocator_traits< A >::template rebind_alloc< FieldVector< T, n > > >	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::range_type
	The type of the range of the solver.

using	Dune::UMFPack< M >::Matrix = M
	The matrix type.

using	Dune::UMFPack< M >::UMFPackMatrix = ISTL::Impl::BCCSMatrix< typename Matrix::field_type, size_type >
	The corresponding (scalar) UMFPack matrix type.

using	Dune::UMFPack< M >::MatrixInitializer = ISTL::Impl::BCCSMatrixInitializer< M, size_type >
	Type of an associated initializer class.

using	Dune::UMFPack< M >::domain_type = Impl::UMFPackDomainType< M >
	The type of the domain of the solver.

using	Dune::UMFPack< M >::range_type = Impl::UMFPackRangeType< M >
	The type of the range of the solver.

Functions
SolverCategory::Category	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::category () const override
	Category of the solver (see SolverCategory::Category)

	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDL (const Matrix &matrix, int verbose=0)
	Construct a solver object from a BCRSMatrix. More...

	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDL (const Matrix &matrix, int verbose, bool)
	Constructor for compatibility with SuperLU standard constructor. More...

	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDL (const Matrix &matrix, const ParameterTree &config)
	Constructs the LDL solver. More...

	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDL ()
	Default constructor.

virtual	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::~LDL ()
	Default constructor.

void	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (domain_type &x, range_type &b, InverseOperatorResult &res) override
	Apply inverse operator,. More...

void	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (domain_type &x, range_type &b, double reduction, InverseOperatorResult &res) override
	apply inverse operator, with given convergence criteria. More...

void	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (T x, T b)
	Additional apply method with c-arrays in analogy to superlu. More...

void	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setMatrix (const Matrix &matrix)
	Initialize data from given matrix.

void	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setVerbosity (int v)
	Sets the verbosity level for the solver. More...

LDLMatrix &	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getInternalMatrix ()
	Return the column compress matrix. More...

void	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::free ()
	Free allocated space. More...

const char *	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::name ()
	Get method name.

double *	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getD ()
	Get factorization diagonal matrix D. More...

int *	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getLp ()
	Get factorization Lp. More...

int *	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getLi ()
	Get factorization Li. More...

double *	Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getLx ()
	Get factorization Lx. More...

SolverCategory::Category	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::category () const override
	Category of the solver (see SolverCategory::Category)

	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQR (const Matrix &matrix, int verbose=0)
	Construct a solver object from a BCRSMatrix. More...

	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQR (const Matrix &matrix, int verbose, bool)
	Constructor for compatibility with SuperLU standard constructor. More...

	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQR (const Matrix &matrix, const ParameterTree &config)
	Constructs the SPQR solver. More...

	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQR ()
	Default constructor.

virtual	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::~SPQR ()
	Destructor.

void	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (domain_type &x, range_type &b, InverseOperatorResult &res) override
	Apply inverse operator,. More...

void	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply (domain_type &x, range_type &b, double reduction, InverseOperatorResult &res) override
	apply inverse operator, with given convergence criteria. More...

void	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setMatrix (const Matrix &matrix)
	Initialize data from given matrix.

void	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setVerbosity (int v)
	Sets the verbosity level for the solver. More...

SuiteSparseQR_factorization< T > *	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getFactorization ()
	Return the matrix factorization. More...

SPQRMatrix &	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getInternalMatrix ()
	Return the column coppressed matrix. More...

void	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::free ()
	Free allocated space. More...

const char *	Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::name ()
	Get method name.

SolverCategory::Category	Dune::UMFPack< M >::category () const override
	Category of the solver (see SolverCategory::Category)

	Dune::UMFPack< M >::UMFPack (const Matrix &matrix, int verbose=0)
	Construct a solver object from a matrix. More...

	Dune::UMFPack< M >::UMFPack (const Matrix &matrix, int verbose, bool)
	Constructor for compatibility with SuperLU standard constructor. More...

	Dune::UMFPack< M >::UMFPack (const Matrix &mat_, const ParameterTree &config)
	Construct a solver object from a matrix. More...

	Dune::UMFPack< M >::UMFPack ()
	default constructor

	Dune::UMFPack< M >::UMFPack (const Matrix &mat_, const char *file, int verbose=0)
	Try loading a decomposition from file and do a decomposition if unsuccessful. More...

	Dune::UMFPack< M >::UMFPack (const char *file, int verbose=0)
	try loading a decomposition from file More...

void	Dune::UMFPack< M >::apply (domain_type &x, range_type &b, InverseOperatorResult &res) override
	Apply inverse operator,. More...

void	Dune::UMFPack< M >::apply (domain_type &x, range_type &b, double reduction, InverseOperatorResult &res) override
	apply inverse operator, with given convergence criteria. More...

void	Dune::UMFPack< M >::apply (T x, T b)
	additional apply method with c-arrays in analogy to superlu More...

void	Dune::UMFPack< M >::setOption (unsigned int option, double value)
	Set UMFPack-specific options. More...

void	Dune::UMFPack< M >::saveDecomposition (const char *file)
	saves a decomposition to a file More...

template<class BitVector = Impl::NoBitVector>
void	Dune::UMFPack< M >::setMatrix (const Matrix &matrix, const BitVector &bitVector={})
	Initialize data from given matrix. More...

void	Dune::UMFPack< M >::setVerbosity (int v)
	sets the verbosity level for the UMFPack solver More...

void *	Dune::UMFPack< M >::getFactorization ()
	Return the matrix factorization. More...

UMFPackMatrix &	Dune::UMFPack< M >::getInternalMatrix ()
	Return the column compress matrix from UMFPack. More...

void	Dune::UMFPack< M >::free ()
	free allocated space. More...

template<class S >
std::size_t	Dune::ILUSubdomainSolver< M, X, Y >::copyToLocalMatrix (const M &A, S &rowset)
	Copy the local part of the global matrix to ILU. More...

template<class S >
void	Dune::ILU0SubdomainSolver< M, X, Y >::setSubMatrix (const M &A, S &rowset)
	Set the data of the local problem. More...

template<class S >
void	Dune::ILUNSubdomainSolver< M, X, Y >::setSubMatrix (const M &A, S &rowset)
	Set the data of the local problem. More...

void	Dune::SuperLU< M >::free ()
	free allocated space. More...

	Dune::SuperLU< M >::SuperLU (const Matrix &mat, bool verbose=false, bool reusevector=true)
	Constructs the SuperLU solver. More...

	Dune::SuperLU< M >::SuperLU ()
	Empty default constructor. More...

void	Dune::SuperLU< M >::setMatrix (const Matrix &mat)
	Initialize data from given matrix.

void	Dune::SuperLU< M >::apply (domain_type &x, range_type &b, InverseOperatorResult &res) override
	Apply inverse operator,. More...

void	Dune::SuperLU< M >::apply (T x, T b)
	Apply SuperLu to C arrays.

Detailed Description

Iterative Solvers supporting block recursive matrix and vector classes at compile time.

The Iterative Solver Template Library applies generic programming in C++ to the domain of iterative solvers of linear systems stemming from finite element discretizations. Those discretizations exhibit a lot of structure, e.g:

Certain discretizations for systems of PDEs or higher order methods result in matrices where individual entries are replaced by small blocks, say of size \(2\times 2\) or \(4\times 4\). Dense blocks of different sizes e.g. arise in \(hp\) Discontinuous Galerkin discretization methods. It is straightforward and efficient to treat these small dense blocks as fully coupled and solve them with direct methods within the iterative method.
Equation-wise ordering for systems results in matrices having an \(n\times n\) block structure where \(n\) corresponds to the number of variables in the PDE and the blocks themselves are large and sparse. As an example we mention the Stokes system.
Other discretisation, e.~g. those of reaction/diffusion systems, produce sparse matrices whose blocks are sparse matrices of small dense blocks,

Our matrix and vector interface supports a block recursive structure. Each sparse matrix entry can itself be either a sparse or a small dense matrix.

The solvers use this recursive block structure via template meta programming at compile time.

ISTL consists of the matrix and vector API and the solvers which use the Preconditioners preconditioners.

Function Documentation

◆ apply() [1/9]

template<typename T , typename A , int n, int m>

void Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply	(	domain_type &	x,
		range_type &	b,
		double	reduction,
		InverseOperatorResult &	res
	)

inlineoverride

apply inverse operator, with given convergence criteria.

Warning: Right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
reduction	The minimum defect reduction to achieve.
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort When the solver detects a problem and cannot continue

◆ apply() [2/9]

template<typename T , typename A , int n, int m>

void Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply	(	domain_type &	x,
		range_type &	b,
		double	reduction,
		InverseOperatorResult &	res
	)

inlineoverride

apply inverse operator, with given convergence criteria.

Warning: Right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
reduction	The minimum defect reduction to achieve.
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort When the solver detects a problem and cannot continue

◆ apply() [3/9]

template<typename M >

void Dune::UMFPack< M >::apply	(	domain_type &	x,
		range_type &	b,
		double	reduction,
		InverseOperatorResult &	res
	)

inlineoverride

apply inverse operator, with given convergence criteria.

Warning: Right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
reduction	The minimum defect reduction to achieve.
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort When the solver detects a problem and cannot continue

References Dune::UMFPack< M >::apply().

◆ apply() [4/9]

template<typename T , typename A , int n, int m>

void Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply	(	domain_type &	x,
		range_type &	b,
		InverseOperatorResult &	res
	)

inlineoverride

Apply inverse operator,.

Warning: Note: right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort When the solver detects a problem and cannot continue

References Dune::InverseOperatorResult::converged, and Dune::InverseOperatorResult::iterations.

◆ apply() [5/9]

template<typename T , typename A , int n, int m>

void Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply	(	domain_type &	x,
		range_type &	b,
		InverseOperatorResult &	res
	)

inlineoverride

Apply inverse operator,.

Warning: Note: right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort When the solver detects a problem and cannot continue

References Dune::InverseOperatorResult::converged, and Dune::InverseOperatorResult::iterations.

◆ apply() [6/9]

template<typename M >

void Dune::SuperLU< M >::apply	(	domain_type &	x,
		range_type &	b,
		InverseOperatorResult &	res
	)

override

Apply inverse operator,.

Warning: Note: right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort When the solver detects a problem and cannot continue

Referenced by Dune::SuperLU< M >::apply().

◆ apply() [7/9]

template<typename M >

void Dune::UMFPack< M >::apply	(	domain_type &	x,
		range_type &	b,
		InverseOperatorResult &	res
	)

inlineoverride

Apply inverse operator,.

Warning: Note: right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort When the solver detects a problem and cannot continue

References Dune::InverseOperatorResult::converged, DUNE_THROW, Dune::InverseOperatorResult::elapsed, Dune::flatVectorForEach(), and Dune::InverseOperatorResult::iterations.

Referenced by Dune::UMFPack< M >::apply().

◆ apply() [8/9]

template<typename T , typename A , int n, int m>

void Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::apply	(	T *	x,
		T *	b
	)

inline

Additional apply method with c-arrays in analogy to superlu.

Parameters

x	solution array
b	rhs array

◆ apply() [9/9]

template<typename M >

void Dune::UMFPack< M >::apply	(	T *	x,
		T *	b
	)

inline

additional apply method with c-arrays in analogy to superlu

Parameters

x	solution array
b	rhs array

NOTE If the user hands over a pure pointer, we assume that they know what they are doing, hence no copy to flat structures

◆ copyToLocalMatrix()

template<class M , class X , class Y >

template<class S >

std::size_t Dune::ILUSubdomainSolver< M, X, Y >::copyToLocalMatrix	(	const M &	A,
		S &	rowset
	)

protected

Copy the local part of the global matrix to ILU.

Parameters

A	The global matrix.
rowset	The global indices of the local problem.

◆ free() [1/4]

template<typename T , typename A , int n, int m>

void Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::free ( )

inline

Free allocated space.

Warning: Later calling apply will result in an error.

◆ free() [2/4]

template<typename T , typename A , int n, int m>

void Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::free ( )

inline

Free allocated space.

Warning: Later calling apply will result in an error.

◆ free() [3/4]

template<typename M >

void Dune::SuperLU< M >::free

free allocated space.

Warning: later calling apply will result in an error.

◆ free() [4/4]

template<typename M >

void Dune::UMFPack< M >::free ( )

inline

free allocated space.

Warning: later calling apply will result in an error.

◆ getD()

template<typename T , typename A , int n, int m>

double * Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getD ( )

inline

Get factorization diagonal matrix D.

Warning: It is up to the user to preserve consistency.

◆ getFactorization() [1/2]

template<typename T , typename A , int n, int m>

SuiteSparseQR_factorization< T > * Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getFactorization ( )

inline

Return the matrix factorization.

Warning: It is up to the user to keep consistency.

◆ getFactorization() [2/2]

template<typename M >

void * Dune::UMFPack< M >::getFactorization ( )

inline

Return the matrix factorization.

Warning: It is up to the user to keep consistency.

◆ getInternalMatrix() [1/3]

template<typename T , typename A , int n, int m>

LDLMatrix & Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getInternalMatrix ( )

inline

Return the column compress matrix.

Warning: It is up to the user to keep consistency.

◆ getInternalMatrix() [2/3]

template<typename T , typename A , int n, int m>

SPQRMatrix & Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getInternalMatrix ( )

inline

Return the column coppressed matrix.

Warning: It is up to the user to keep consistency.

◆ getInternalMatrix() [3/3]

template<typename M >

UMFPackMatrix & Dune::UMFPack< M >::getInternalMatrix ( )

inline

Return the column compress matrix from UMFPack.

Warning: It is up to the user to keep consistency.

◆ getLi()

template<typename T , typename A , int n, int m>

int * Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getLi ( )

inline

Get factorization Li.

Warning: It is up to the user to preserve consistency.

◆ getLp()

template<typename T , typename A , int n, int m>

int * Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getLp ( )

inline

Get factorization Lp.

Warning: It is up to the user to preserve consistency.

◆ getLx()

template<typename T , typename A , int n, int m>

double * Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::getLx ( )

inline

Get factorization Lx.

Warning: It is up to the user to preserve consistency.

◆ LDL() [1/3]

template<typename T , typename A , int n, int m>

Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDL	(	const Matrix &	matrix,
		const ParameterTree &	config
	)

inline

Constructs the LDL solver.

Parameters

matrix	The matrix of the system to solve.
config	ParameterTree containing solver parameters.

ParameterTree Key	Meaning
verbose	The verbosity level. default=0

◆ LDL() [2/3]

template<typename T , typename A , int n, int m>

Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDL	(	const Matrix &	matrix,
		int	verbose,
		bool
	)

inline

Constructor for compatibility with SuperLU standard constructor.

This computes the matrix decomposition, and may take a long time (and use a lot of memory).

Parameters

matrix	the matrix to solve for
verbose	0 or 1 set the verbosity level, defaults to 0

◆ LDL() [3/3]

template<typename T , typename A , int n, int m>

Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::LDL	(	const Matrix &	matrix,
		int	verbose = `0`
	)

inline

Construct a solver object from a BCRSMatrix.

This computes the matrix decomposition, and may take a long time (and use a lot of memory).

Parameters

matrix	the matrix to solve for
verbose	0 or 1 set the verbosity level, defaults to 0

◆ saveDecomposition()

template<typename M >

void Dune::UMFPack< M >::saveDecomposition ( const char * file )

inline

saves a decomposition to a file

Parameters

file	the filename to save to

References DUNE_THROW.

Referenced by Dune::UMFPack< M >::UMFPack().

◆ setMatrix()

template<typename M >

template<class BitVector = Impl::NoBitVector>

void Dune::UMFPack< M >::setMatrix	(	const Matrix &	matrix,
		const BitVector &	bitVector = `{}`
	)

inline

Initialize data from given matrix.

Template Parameters

BitVector a compatible bitvector to the domain_type/range_type. Defaults to NoBitVector for backwards compatibility

A positive bit indices that the corresponding matrix row/column is excluded from the UMFPACK decomposition. WARNING This is an opposite behavior of the previous implementation in setSubMatrix.

Referenced by Dune::UMFPack< M >::UMFPack().

◆ setOption()

template<typename M >

void Dune::UMFPack< M >::setOption	(	unsigned int	option,
		double	value
	)

inline

Set UMFPack-specific options.

This method allows to set various options that control the UMFPack solver. More specifically, it allows to set values in the UMF_Control array. Please see the UMFPack documentation for a list of possible options and values.

Parameters

option	Entry in the UMF_Control array, e.g., UMFPACK_IRSTEP
value	Corresponding value

Exceptions

RangeError If nonexisting option was requested

References DUNE_THROW.

◆ setSubMatrix() [1/2]

template<class M , class X , class Y >

template<class S >

void Dune::ILU0SubdomainSolver< M, X, Y >::setSubMatrix	(	const M &	A,
		S &	rowset
	)

Set the data of the local problem.

Parameters

A	The global matrix.
rowset	The global indices of the local problem.

Template Parameters

S	The type of the set with the indices.

◆ setSubMatrix() [2/2]

template<class M , class X , class Y >

template<class S >

void Dune::ILUNSubdomainSolver< M, X, Y >::setSubMatrix	(	const M &	A,
		S &	rowset
	)

Set the data of the local problem.

Parameters

A	The global matrix.
rowset	The global indices of the local problem.

Template Parameters

S	The type of the set with the indices.

◆ setVerbosity() [1/3]

template<typename T , typename A , int n, int m>

void Dune::LDL< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setVerbosity ( int v )

inline

Sets the verbosity level for the solver.

Parameters

v	verbosity level: 0 only error messages, 1 a bit of statistics.

◆ setVerbosity() [2/3]

template<typename T , typename A , int n, int m>

void Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::setVerbosity ( int v )

inline

Sets the verbosity level for the solver.

Parameters

v	verbosity level: 0 only error messages, 1 a bit of statistics.

◆ setVerbosity() [3/3]

template<typename M >

void Dune::UMFPack< M >::setVerbosity ( int v )

inline

sets the verbosity level for the UMFPack solver

Parameters

v	verbosity level The following levels are implemented: 0 - only error messages 1 - a bit of statistics on decomposition and solution 2 - lots of statistics on decomposition and solution

Referenced by Dune::UMFPack< M >::UMFPack().

◆ SPQR() [1/3]

template<typename T , typename A , int n, int m>

Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQR	(	const Matrix &	matrix,
		const ParameterTree &	config
	)

inline

Constructs the SPQR solver.

Parameters

matrix	The matrix of the system to solve.
config	ParameterTree containing solver parameters.

ParameterTree Key	Meaning
verbose	The verbosity level. default=0

◆ SPQR() [2/3]

template<typename T , typename A , int n, int m>

Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQR	(	const Matrix &	matrix,
		int	verbose,
		bool
	)

inline

Constructor for compatibility with SuperLU standard constructor.

This computes the matrix decomposition, and may take a long time (and use a lot of memory).

Parameters

matrix	the matrix to solve for
verbose	0 or 1, set the verbosity level, defaults to 0

◆ SPQR() [3/3]

template<typename T , typename A , int n, int m>

Dune::SPQR< BCRSMatrix< FieldMatrix< T, n, m >, A > >::SPQR	(	const Matrix &	matrix,
		int	verbose = `0`
	)

inline

Construct a solver object from a BCRSMatrix.

This computes the matrix decomposition, and may take a long time (and use a lot of memory).

Parameters

matrix	the matrix to solve for
verbose	0 or 1, set the verbosity level, defaults to 0

◆ SuperLU() [1/2]

template<typename M >

Dune::SuperLU< M >::SuperLU

Empty default constructor.

Use setMatrix to tell SuperLU for what matrix it solves. Using this constructor no vectors will be reused.

◆ SuperLU() [2/2]

template<typename M >

Dune::SuperLU< M >::SuperLU	(	const Matrix &	mat,
		bool	verbose = `false`,
		bool	reusevector = `true`
	)

explicit

Constructs the SuperLU solver.

During the construction the matrix will be decomposed. That means that in each apply call forward and backward substitutions take place (and no decomposition).

Parameters

mat	The matrix of the system to solve.
verbose	If true some statistics are printed.
reusevector	Default value is true. If true the two vectors are allocate in the first call to apply. These get resused in subsequent calls to apply and are deallocated in the destructor. If false these vectors are allocated at the beginning and deallocated at the end of each apply method. This allows using the same instance of superlu from different threads.

References Dune::SuperLU< M >::setMatrix().

◆ UMFPack() [1/5]

template<typename M >

Dune::UMFPack< M >::UMFPack	(	const char *	file,
		int	verbose = `0`
	)

inline

try loading a decomposition from file

Parameters

file	the decomposition file
verbose	the verbosity level

Exceptions

Dune::Exception When not being able to load the file. Does not need knowledge of the actual matrix!

References DUNE_THROW, and Dune::UMFPack< M >::setVerbosity().

◆ UMFPack() [2/5]

template<typename M >

Dune::UMFPack< M >::UMFPack	(	const Matrix &	mat_,
		const char *	file,
		int	verbose = `0`
	)

inline

Try loading a decomposition from file and do a decomposition if unsuccessful.

Parameters

mat_	the matrix to decompose when no decoposition file found
file	the decomposition file
verbose	the verbosity level

Use saveDecomposition(char* file) for manually storing a decomposition. This constructor will decompose mat_ and store the result to file if no file wasn't found in the first place. Thus, if you always use this you will only compute the decomposition once (and when you manually deleted the decomposition file).

References Dune::UMFPack< M >::saveDecomposition(), Dune::UMFPack< M >::setMatrix(), and Dune::UMFPack< M >::setVerbosity().

◆ UMFPack() [3/5]

template<typename M >

Dune::UMFPack< M >::UMFPack	(	const Matrix &	mat_,
		const ParameterTree &	config
	)

inline

Construct a solver object from a matrix.

Parameters

mat_	the matrix to solve for
config	ParameterTree containing solver parameters.

ParameterTree Key	Meaning
verbose	The verbosity level. default=0

◆ UMFPack() [4/5]

template<typename M >

Dune::UMFPack< M >::UMFPack	(	const Matrix &	matrix,
		int	verbose,
		bool
	)

inline

Constructor for compatibility with SuperLU standard constructor.

This computes the matrix decomposition, and may take a long time (and use a lot of memory).

Parameters

matrix	the matrix to solve for
verbose	[0..2] set the verbosity level, defaults to 0

References Dune::UMFPack< M >::setMatrix(), and Dune::UMFPack< M >::setVerbosity().

◆ UMFPack() [5/5]

template<typename M >

Dune::UMFPack< M >::UMFPack	(	const Matrix &	matrix,
		int	verbose = `0`
	)

inline

Construct a solver object from a matrix.

This computes the matrix decomposition, and may take a long time (and use a lot of memory).

Parameters

matrix	the matrix to solve for
verbose	[0..2] set the verbosity level, defaults to 0

References Dune::UMFPack< M >::setMatrix(), and Dune::UMFPack< M >::setVerbosity().

Modules

Files

Classes

Typedefs

Functions

Detailed Description

Function Documentation

◆ apply() [1/9]

◆ apply() [2/9]

◆ apply() [3/9]

◆ apply() [4/9]

◆ apply() [5/9]

◆ apply() [6/9]

◆ apply() [7/9]

◆ apply() [8/9]

◆ apply() [9/9]

◆ copyToLocalMatrix()

◆ free() [1/4]

◆ free() [2/4]

◆ free() [3/4]

◆ free() [4/4]

◆ getD()

◆ getFactorization() [1/2]

◆ getFactorization() [2/2]

◆ getInternalMatrix() [1/3]

◆ getInternalMatrix() [2/3]

◆ getInternalMatrix() [3/3]

◆ getLi()

◆ getLp()

◆ getLx()

◆ LDL() [1/3]

◆ LDL() [2/3]

◆ LDL() [3/3]

◆ saveDecomposition()

◆ setMatrix()

◆ setOption()

◆ setSubMatrix() [1/2]

◆ setSubMatrix() [2/2]

◆ setVerbosity() [1/3]

◆ setVerbosity() [2/3]

◆ setVerbosity() [3/3]

◆ SPQR() [1/3]

◆ SPQR() [2/3]

◆ SPQR() [3/3]

◆ SuperLU() [1/2]

◆ SuperLU() [2/2]

◆ UMFPack() [1/5]

◆ UMFPack() [2/5]

◆ UMFPack() [3/5]

◆ UMFPack() [4/5]

◆ UMFPack() [5/5]