ML_Epetra: default namespace for all Epetra interfaces. More...

Classes
class	CrsGraphWrapper
	ML_Epetra::CrsGraphWrapper: a class to wrap an Epetra_CrsGraph as Epetra_RowMatrix. More...

class	Ifpack_ML
	Wraps an ML preconditioner as an Ifpack_Preconditioner. More...

class	MultiLevelOperator
	MultiLevelOperator: An implementation of the Epetra_Operator class. More...

class	MultiLevelPreconditioner
	MultiLevelPreconditioner: a class to define black-box multilevel preconditioners using aggregation methods. More...

class	RowMatrix
	Basic wrapper from ML_Operator to Epetra_RowMatrix. More...

class	MatrixFreePreconditioner
	MatrixFreePreconditioner: a class to define preconditioners for Epetra_Operator's. More...

class	EdgeMatrixFreePreconditioner

class	ML_RMP

class	ML_RefMaxwell_11_Operator

Enumerations
enum	AMGType { ML_SA_FAMILY, ML_MAXWELL, ML_COMPOSITE }
	Enumerated type indicating the type of AMG solver to be used.

Functions
int	ML_Epetra_PtAP (const Epetra_CrsMatrix &A, const Epetra_CrsMatrix &P, Epetra_CrsMatrix *&Result, bool verbose=false)
	Does an P^TAP for Epetra_CrsMatrices using ML's kernels.

int	ML_Epetra_RAP (const Epetra_CrsMatrix &A, const Epetra_CrsMatrix &P, const Epetra_CrsMatrix &R, Epetra_CrsMatrix *&Result, bool verbose)
	Does an RAP for Epetra_CrsMatrices using ML's kernels.

int	Epetra_PtAP (const Epetra_CrsMatrix &A, const Epetra_CrsMatrix &P, Epetra_CrsMatrix *&Result, bool keep_zero_rows=false, bool verbose=false)
	Does an P^TAP for Epetra_CrsMatrices using EpetraExt's kernels.

int *	FindLocalDiricheltRowsFromOnesAndZeros (const Epetra_CrsMatrix &Matrix, int &numBCRows)
	Finds the Dirichlet rows in a square matrix that got the one-and-zeros. More...

void	Apply_BCsToMatrixColumns (const int *dirichletRows, int numBCRows, const Epetra_CrsMatrix &Matrix)
	Applies Dirichlet conditions to columns that rows already have. More...

void	Apply_BCsToMatrixRows (const int *dirichletRows, int numBCRows, const Epetra_CrsMatrix &Matrix)
	Applies Dirichlet conditions to matrix rows.

void	Apply_BCsToMatrixColumns (const Epetra_RowMatrix &iBoundaryMatrix, const Epetra_RowMatrix &iMatrix)
	Applies Dirichlet conditions to columns that rows already have. More...

void	Apply_BCsToMatrixColumns (const Epetra_IntVector &dirichletColumns, const Epetra_CrsMatrix &Matrix)

void	Apply_BCsToGradient (const Epetra_RowMatrix &EdgeMatrix, const Epetra_RowMatrix &T)
	Applies boundary conditions to gradient matrix. (Maxwell's equations)

void	Apply_OAZToMatrix (int *dirichletRows, int numBCRows, const Epetra_CrsMatrix &Matrix)
	Does Row/Column OAZ to a matrix.

Epetra_IntVector *	LocalRowstoColumns (int *Rows, int numRows, const Epetra_CrsMatrix &Matrix)
	Returns the local column numbers of the local rows passed in.

Epetra_IntVector *	FindLocalDirichletColumnsFromRows (const int *dirichletRows, int numBCRows, const Epetra_CrsMatrix &Matrix)
	Finds Dirichlet the local Dirichlet columns, given the local Dirichlet rows.

void	Remove_Zeroed_Rows (const Epetra_CrsMatrix &Matrix, double tol=0.0)
	Drops a 1 on the diagonal of zero'd our rows.

Epetra_RowMatrix *	ModifyEpetraMatrixColMap (const Epetra_RowMatrix &A, EpetraExt::CrsMatrix_SolverMap &transform, const char *matrixName=0, bool verbose=false)
	Transforms Epetra matrix column map (if necessary) to be compatible with. More...

int	UpdateList (Teuchos::ParameterList &source, Teuchos::ParameterList &dest, bool OverWrite)

int	SetDefaults (std::string ProblemType, Teuchos::ParameterList &List, int options=0, double params=0, const bool OverWrite=true)
	Sets default parameters for aggregation-based preconditioners. More...

int	SetDefaultsDD (Teuchos::ParameterList &List, Teuchos::RCP< std::vector< int > > &options, Teuchos::RCP< std::vector< double > > &params, bool Overwrite=true)
	Sets default parameters for aggregation-based 2-level domain decomposition preconditioners. More...

int	SetDefaultsDD_LU (Teuchos::ParameterList &List, Teuchos::RCP< std::vector< int > > &options, Teuchos::RCP< std::vector< double > > &params, bool Overwrite=true)
	Sets default parameters for aggregation-based 2-level domain decomposition preconditioners, using LU on each subdomain. More...

int	SetDefaultsDD_3Levels (Teuchos::ParameterList &List, Teuchos::RCP< std::vector< int > > &options, Teuchos::RCP< std::vector< double > > &params, bool Overwrite=true)
	Sets default parameters for aggregation-based 3-level domain decomposition preconditioners. More...

int	SetDefaultsDD_3Levels_LU (Teuchos::ParameterList &List, Teuchos::RCP< std::vector< int > > &options, Teuchos::RCP< std::vector< double > > &params, bool Overwrite=true)
	Sets default parameters for aggregation-based 3-level domain decomposition preconditioners with LU. More...

int	SetDefaultsMaxwell (Teuchos::ParameterList &List, Teuchos::RCP< std::vector< int > > &options, Teuchos::RCP< std::vector< double > > &params, bool Overwrite=true)
	Sets default parameters for the eddy current equations equations. More...

int	SetDefaultsSA (Teuchos::ParameterList &List, Teuchos::RCP< std::vector< int > > &options, Teuchos::RCP< std::vector< double > > &params, bool Overwrite=true)
	Sets default parameters for classical smoothed aggregation. More...

int	SetDefaultsNSSA (Teuchos::ParameterList &List, Teuchos::RCP< std::vector< int > > &options, Teuchos::RCP< std::vector< double > > &params, bool Overwrite=true)
	Sets defaults for energy minimization preconditioning for nonsymmetric problems. More...

int	ReadXML (const std::string &FileName, Teuchos::ParameterList &List, const Epetra_Comm &Comm)
	Reads in parameter list options from file.

int	SetDefaultsRefMaxwell (Teuchos::ParameterList &inList, bool OverWrite=true)
	Sets default parameters for aggregation-based 2-level domain decomposition preconditioners.

void	IVOUT (const Epetra_IntVector &A, const char *of)

int	CSR_getrow_ones (ML_Operator *data, int N_requested_rows, int requested_rows[], int allocated_space, int columns[], double values[], int row_lengths[])

int	RefMaxwell_Aggregate_Nodes (const Epetra_CrsMatrix &A, Teuchos::ParameterList &List, ML_Comm ml_comm, std::string PrintMsg, ML_Aggregate_Struct &MLAggr, ML_Operator *&P, int &NumAggregates)

Detailed Description

ML_Epetra: default namespace for all Epetra interfaces.

Function Documentation

void ML_Epetra::Apply_BCsToMatrixColumns	(	const int *	dirichletRows,
		int	numBCRows,
		const Epetra_CrsMatrix &	Matrix
	)

Applies Dirichlet conditions to columns that rows already have.

Apply the Dirichlet BC's specified by the dirichletRows to remove all columns (across all processors) that have entries zero'd by the BC's. This will symmetrize a square matrix, though the routine can be run on non-square matrices.

void ML_Epetra::Apply_BCsToMatrixColumns	(	const Epetra_RowMatrix &	iBoundaryMatrix,
		const Epetra_RowMatrix &	iMatrix
	)

Applies Dirichlet conditions to columns that rows already have.

Apply the Dirichlet BC's specified by BoundaryMatrix to remove all columns (across all processors) that have entries zero'd by the BC's. This will symmetrize a square matrix, though the routine can be run on non-square matrices.

int* ML_Epetra::FindLocalDiricheltRowsFromOnesAndZeros	(	const Epetra_CrsMatrix &	Matrix,
		int &	numBCRows
	)

Finds the Dirichlet rows in a square matrix that got the one-and-zeros.

Returns the local Dirichlet rows for a square matrix that go the ones-and-zeros treatment for BCs.

Epetra_RowMatrix* ML_Epetra::ModifyEpetraMatrixColMap	(	const Epetra_RowMatrix &	A,
		EpetraExt::CrsMatrix_SolverMap &	transform,
		const char *	matrixName = `0`,
		bool	verbose = `false`
	)

Transforms Epetra matrix column map (if necessary) to be compatible with.

how ML handles column indices. Any matrix that cannot be dynamically cast to an Epetra_CrsMatrix will not be changed.

Parameters

A	- (In) Matrix that is to be transformed.
transform	- (In) EpetraExt widget that does the transformation.
matrixName	- (In) Optional label for the incoming matrix.

Referenced by ML_Epetra::MultiLevelPreconditioner::ComputePreconditioner().

int ML_Epetra::SetDefaults	(	std::string	ProblemType,
		Teuchos::ParameterList &	List,
		int *	options = `0`,
		double *	params = `0`,
		const bool	OverWrite = `true`
	)

Sets default parameters for aggregation-based preconditioners.

This function, defined in the namespace ML_Epetra, can be used to set default values in a user's defined Teuchos::ParameterList.

Parameters

ProblemType

(In) : a std::string, whose possible values are:

"SA" : classical smoothed aggregation preconditioners;
"NSSA" : default values for Petrov-Galerkin preconditioner for nonsymmetric systems
"maxwell" : default values for aggregation preconditioner for eddy current systems
"DD" : defaults for 2-level domain decomposition preconditioners based on aggregation;
"DD-LU" : Like "DD", but use exact LU decompositions on each subdomain;
"DD-ML" : 3-level domain decomposition preconditioners, with coarser spaces defined by aggregation;

"DD-ML-LU" : Like "DD-ML", but with LU decompositions on each subdomain.

Parameters

List	(Out) : list which will populated by the default parameters
options	(In/Out) : integer array, of size `AZ_OPTIONS_SIZE`, that will be populated with suitable values. A pointer to `options` will be stick into the parameters list. Note that this array is still required to apply the preconditioner! Do not delete options, nor let it go out of scope. The default value is 0, meaning that `SetDefaults()` will allocate the array.
params	(In/Out) : double array, of size `AZ_PARAMS_SIZE`. See comments for `options`.
OverWrite	(In) : boolean. If false, any pre-existing values in the parameter list will be preserved. Default value is true, i.e., any pre-existing values may be overwritten.

References Teuchos::rcp(), SetDefaultsDD(), SetDefaultsDD_3Levels(), SetDefaultsDD_3Levels_LU(), SetDefaultsDD_LU(), SetDefaultsMaxwell(), SetDefaultsNSSA(), and SetDefaultsSA().

Referenced by ML_Epetra::MultiLevelPreconditioner::MultiLevelPreconditioner(), ReadXML(), ML_Epetra::Ifpack_ML::SetParameters(), and ML_Epetra::MultiLevelPreconditioner::TestSmoothers().

int ML_Epetra::SetDefaultsDD	(	Teuchos::ParameterList &	List,
		Teuchos::RCP< std::vector< int > > &	options,
		Teuchos::RCP< std::vector< double > > &	params,
		bool	OverWrite = `true`
	)

Sets default parameters for aggregation-based 2-level domain decomposition preconditioners.

Sets the following default values for "DD".

Note: This method should not be called directly. Instead, ML_Epetra::SetDefaults("DD",...) should be used.

General
- "default values" = "DD"
- "max levels" = 2
- "prec type" = "MGV"
- "increasing or decreasing" = "increasing"
Grid Transfer
- "aggregation: type" = "METIS"
- "aggregation: local aggregates" = 1
- "aggregation: damping factor" = 1.333
- "eigen-analysis: type" = "power-method"
- "eigen-analysis: iterations" = 20
Smoothing
- "smoother: sweeps" = 1
- "smoother: pre or post" = "both"
- "smoother: type" = Aztec". - \c "smoother: Aztec options" \c = \c options - \c "smoother: Aztec params" \c = \c params - \c "smoother: Aztec as solver" = false
Coarse Solution
- "coarse: type" = "Amesos-KLU"
- "coarse: max size" = 128

References Teuchos::ParameterList::set(), and Teuchos::ParameterList::setName().

Referenced by SetDefaults().

int ML_Epetra::SetDefaultsDD_3Levels	(	Teuchos::ParameterList &	List,
		Teuchos::RCP< std::vector< int > > &	options,
		Teuchos::RCP< std::vector< double > > &	params,
		bool	OverWrite = `true`
	)

Sets default parameters for aggregation-based 3-level domain decomposition preconditioners.

Sets the following default values for "DD-ML".

This method should not be called directly. Instead, ML_Epetra::SetDefaults("DD-ML",...) should be used.

General
- "default values" = "DD-ML"
- "max levels" = 3
- "prec type" = "MGV"
- "increasing or decreasing" = "increasing"
Grid Transfer
- "aggregation: type" = "METIS"
- "aggregation: nodes per aggregate" = 512
- "aggregation: next-level aggregates per process" = 128
- "aggregation: damping factor" = 1.333
- "eigen-analysis: type" = "power-method"
- "eigen-analysis: iterations" = 20
Smoothing
- "smoother: sweeps" = 1
- "smoother: pre or post" = "both"
- "smoother: type" = "Aztec"
- "smoother: Aztec options" = options
- "smoother: Aztec params" = params
  - "smoother: Aztec as solver" = false
Coarse Solution
- "coarse: type" = "Amesos-KLU"
- "coarse: max size" = 128

References Teuchos::ParameterList::set(), and Teuchos::ParameterList::setName().

Referenced by SetDefaults().

int ML_Epetra::SetDefaultsDD_3Levels_LU	(	Teuchos::ParameterList &	List,
		Teuchos::RCP< std::vector< int > > &	options,
		Teuchos::RCP< std::vector< double > > &	params,
		bool	OverWrite = `true`
	)

Sets default parameters for aggregation-based 3-level domain decomposition preconditioners with LU.

Same as SetDefaultsDD_3Levels but with LU factorizations subdomains.

Note: This method should not be called directly. Instead, ML_Epetra::SetDefaults("DD-ML-LU",...) should be used.

General
- "default values" = "DD-ML-LU"
- "max levels" = 3
- "prec type" = "MGV"
- "increasing or decreasing" = "increasing"
Grid Transfer
- "aggregation: type" = "METIS"
- "aggregation: nodes per aggregate" = 512
- "aggregation: next-level aggregates per process" = 128
- "aggregation: damping factor" = 1.333
- "eigen-analysis: type" = "power-method"
- "eigen-analysis: iterations" = 20
Smoothing
- "smoother: sweeps" = 1
- "smoother: pre or post" = "both"
- "smoother: type" = "Aztec"
- "smoother: Aztec options" = options
- "smoother: Aztec params" = params
  - "smoother: Aztec as solver" = false
Coarse Solution
- "coarse: type" = "Amesos-KLU"
- "coarse: max size" = 128

References Teuchos::ParameterList::set(), and Teuchos::ParameterList::setName().

Referenced by SetDefaults().

int ML_Epetra::SetDefaultsDD_LU	(	Teuchos::ParameterList &	List,
		Teuchos::RCP< std::vector< int > > &	options,
		Teuchos::RCP< std::vector< double > > &	params,
		bool	OverWrite = `true`
	)

Sets default parameters for aggregation-based 2-level domain decomposition preconditioners, using LU on each subdomain.

Same as SetDefaultsDD(), but used exact LU decompositions on subdomains.

Note: This method should not be called directly. Instead, ML_Epetra::SetDefaults("DD-LU",...) should be used.

General
- "default values" = "DD-LU"
- "max levels" = 2
- "prec type" = "MGV"
- "increasing or decreasing" = "increasing"
Grid Transfer
- "aggregation: type" = "METIS"
- "aggregation: local aggregates" = 1
- "aggregation: damping factor" = 1.333
- "eigen-analysis: type" = "power-method"
- "eigen-analysis: iterations" = 20
Smoothing
- "smoother: sweeps" = 1
- "smoother: pre or post" = "both"
- "smoother: type" = "Aztec"
- "smoother: Aztec options" = options
- "smoother: Aztec params" = params
- "smoother: Aztec as solver" = false
Coarse Solution
- "coarse: type" = "Amesos-KLU"
- "coarse: max size" = 128

References Teuchos::ParameterList::set(), and Teuchos::ParameterList::setName().

Referenced by SetDefaults().

int ML_Epetra::SetDefaultsMaxwell	(	Teuchos::ParameterList &	List,
		Teuchos::RCP< std::vector< int > > &	options,
		Teuchos::RCP< std::vector< double > > &	params,
		bool	OverWrite = `true`
	)

Sets default parameters for the eddy current equations equations.

Set values for Maxwell:

Note: This method should not be called directly. Instead, ML_Epetra::SetDefaults("maxwell",...) should be used.

General
- "default values" = "maxwell"
- "max levels" = 10
- "prec type" = "MGV"
- "increasing or decreasing" = "decreasing"
Grid Transfer
- "aggregation: type" = "Uncoupled-MIS"
- "aggregation: damping factor" = 1.333
- "eigen-analysis: type" = "cg"
- "eigen-analysis: iterations" = 10
- "aggregation: edge prolongator drop threshold" = 0.0
Smoothing
- "smoother: sweeps" = 1
- "smoother: damping factor" = 1.0
- "smoother: pre or post" = "both"
- "smoother: type" = "Hiptmair"
- "smoother: Hiptmair efficient symmetric" = true
- "subsmoother: type" = "Chebyshev"
- "subsmoother: Chebyshev alpha" = 20.0
- "subsmoother: node sweeps" = 4
- "subsmoother: edge sweeps" = 4
Coarse Solution
- "coarse: type" = "Amesos-KLU"
- "coarse: max size" = 128

References Teuchos::ParameterList::set(), and Teuchos::ParameterList::setName().

Referenced by SetDefaults().

int ML_Epetra::SetDefaultsNSSA	(	Teuchos::ParameterList &	List,
		Teuchos::RCP< std::vector< int > > &	options,
		Teuchos::RCP< std::vector< double > > &	params,
		bool	OverWrite = `true`
	)

Sets defaults for energy minimization preconditioning for nonsymmetric problems.

Set default values for smoothed aggregation for nonsymmetric problems:

Note: This method should not be called directly. Instead, ML_Epetra::SetDefaults("NSSA",...) should be used.

General
- "default values" = "NSSA"
- "max levels" = 10
- "prec type" = "MGW"
- "increasing or decreasing" = "increasing"
Grid Transfer
- "aggregation: type" = "Uncoupled-MIS"
- "energy minimization: enable" = true
- "eigen-analysis: type" = "power-method"
- "eigen-analysis: iterations" = 20
Smoothing
- "smoother: sweeps" = 4
- "smoother: damping factor" = 0.67
- "smoother: pre or post" = "post"
- "smoother: type" = "symmetric Gauss-Seidel"
Coarse Solution
- "coarse: type" = "Amesos-KLU"
- "coarse: max size" = 256

References Teuchos::ParameterList::set(), and Teuchos::ParameterList::setName().

Referenced by SetDefaults().

int ML_Epetra::SetDefaultsSA	(	Teuchos::ParameterList &	List,
		Teuchos::RCP< std::vector< int > > &	options,
		Teuchos::RCP< std::vector< double > > &	params,
		bool	OverWrite = `true`
	)

Sets default parameters for classical smoothed aggregation.

Set default values for classical smoothed aggregation.

This method should not be called directly. Instead, ML_Epetra::SetDefaults("SA",...) should be used.

General
- "default values" = "SA"
- "max levels" = 10
- "prec type" = "MGV"
- "increasing or decreasing" = "increasing"
Grid Transfer
- "aggregation: type" = "Uncoupled-MIS"
- "aggregation: damping factor" = 1.333
- "eigen-analysis: type" = "cg"
- "eigen-analysis: iterations" = 10
Smoothing
- "smoother: sweeps" = 2
- "smoother: damping factor" = 1.0
- "smoother: pre or post" = "both"
- "smoother: type" = "symmetric Gauss-Seidel"
Coarse Solution
- "coarse: type" = "Amesos-KLU"
- "coarse: max size" = 128

References Teuchos::ParameterList::set(), and Teuchos::ParameterList::setName().

Referenced by SetDefaults().

Classes

Enumerations

Functions

Detailed Description

Function Documentation