Dune::PDELab::ISTLBackend_OVLP_AMG_4_DG< DGGO, DGCC, CGGFS, CGCC, TransferLOP, DGPrec, Solver, s > Class Template Reference

#include <dune/pdelab/backend/istl/ovlp_amg_dg_backend.hh>

Public Member Functions
void	setParameters (const Parameters &amg_parameters_)
	set AMG parameters More...
const Parameters &	parameters () const
	Get the parameters describing the behaviuour of AMG. More...
void	setReuse (bool reuse_)
	Set whether the AMG should be reused again during call to apply().
bool	getReuse () const
	Return whether the AMG is reused during call to apply()
	ISTLBackend_OVLP_AMG_4_DG (DGGO &dggo_, const DGCC &dgcc_, CGGFS &cggfs_, const CGCC &cgcc_, unsigned maxiter_=5000, int verbose_=1, bool reuse_=false, bool usesuperlu_=true)
	ISTLBackend_OVLP_AMG_4_DG (DGGO &dggo_, const DGCC &dgcc_, CGGFS &cggfs_, const CGCC &cgcc_, const ParameterTree &params)
void	setDGSmootherRelaxation (double relaxation_)
	set number of presmoothing steps on the DG level
void	setNoDGPreSmoothSteps (int n1_)
	set number of presmoothing steps on the DG level
void	setNoDGPostSmoothSteps (int n2_)
	set number of postsmoothing steps on the DG level
void	apply (M &A, V &z, V &r, typename Dune::template FieldTraits< typename V::ElementType >::real_type reduction)
	solve the given linear system More...
template<typename X >
X::ElementType	dot (const X &x, const X &y) const
	Dot product of two vectors. It is assumed that the vectors are consistent on the interior+border partition.
template<typename X >
Dune::template FieldTraits< typename X::ElementType >::real_type	norm (const X &x) const
	Norm of a right-hand side vector. The vector must be consistent on the interior+border partition.
const Dune::PDELab::LinearSolverResult< double > &	result () const
	Return access to result data.

Detailed Description

template<class DGGO, class DGCC, class CGGFS, class CGCC, class TransferLOP, template< class, class, class, int > class DGPrec, template< class > class Solver, int s = 96>
class Dune::PDELab::ISTLBackend_OVLP_AMG_4_DG< DGGO, DGCC, CGGFS, CGCC, TransferLOP, DGPrec, Solver, s >

Overlapping solver backend for using AMG for DG in PDELab

The template parameters are: DGGO GridOperator for DG discretization, allows access to matrix, vector and grid function space DGCC constraints container for DG problem CGGFS grid function space for CG subspace CGCC constraints container for CG problem TransferLOP local operator to assemble prolongation from CGGFS to DGGFS DGPrec preconditioner for DG problem Solver solver to be used on the complete problem int s size of global index to be used in AMG

Note: The subspace matrix is calculated by a triple matrix product with the fine space DG matrix passed into the apply method. This only works if this DG matrix does not contain P0ParallelConstraints. In order to achieve this behaviour you should use this solver backend with a StationaryLinearProblem or Newton solver that was created using a grid operator with empty constranints. See the overlapping test case in

dune-pdelab/dune/pdelab/test-dg-amg.cc

for an example.

Constructor & Destructor Documentation

ISTLBackend_OVLP_AMG_4_DG() [1/2]

template<class DGGO , class DGCC , class CGGFS , class CGCC , class TransferLOP , template< class, class, class, int > class DGPrec, template< class > class Solver, int s = 96>

Dune::PDELab::ISTLBackend_OVLP_AMG_4_DG< DGGO, DGCC, CGGFS, CGCC, TransferLOP, DGPrec, Solver, s >::ISTLBackend_OVLP_AMG_4_DG ( DGGO &  dggo_, const DGCC &  dgcc_, CGGFS &  cggfs_, const CGCC &  cgcc_, unsigned  maxiter_ = 5000, int  verbose_ = 1, bool  reuse_ = false, bool  usesuperlu_ = true  )

inline

make backend object

References Dune::PDELab::GridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::jacobian(), Dune::Amg::Parameters::setDebugLevel(), and Dune::Amg::AggregationParameters::setDefaultValuesIsotropic().

ISTLBackend_OVLP_AMG_4_DG() [2/2]

template<class DGGO , class DGCC , class CGGFS , class CGCC , class TransferLOP , template< class, class, class, int > class DGPrec, template< class > class Solver, int s = 96>

Dune::PDELab::ISTLBackend_OVLP_AMG_4_DG< DGGO, DGCC, CGGFS, CGCC, TransferLOP, DGPrec, Solver, s >::ISTLBackend_OVLP_AMG_4_DG ( DGGO &  dggo_, const DGCC &  dgcc_, CGGFS &  cggfs_, const CGCC &  cgcc_, const ParameterTree &  params  )

inline

make backend object

References Dune::ParameterTree::get(), Dune::PDELab::GridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::jacobian(), Dune::Amg::Parameters::setDebugLevel(), and Dune::Amg::AggregationParameters::setDefaultValuesIsotropic().

Member Function Documentation

apply()

template<class DGGO , class DGCC , class CGGFS , class CGCC , class TransferLOP , template< class, class, class, int > class DGPrec, template< class > class Solver, int s = 96>

void Dune::PDELab::ISTLBackend_OVLP_AMG_4_DG< DGGO, DGCC, CGGFS, CGCC, TransferLOP, DGPrec, Solver, s >::apply ( M &  A, V &  z, V &  r, typename Dune::template FieldTraits< typename V::ElementType >::real_type  reduction  )

inline

solve the given linear system

Parameters

[in]	A	the given matrix
[out]	z	the solution vector to be computed
[in]	r	right hand side
[in]	reduction	to be achieved

parameters()

template<class DGGO , class DGCC , class CGGFS , class CGCC , class TransferLOP , template< class, class, class, int > class DGPrec, template< class > class Solver, int s = 96>

const Parameters& Dune::PDELab::ISTLBackend_OVLP_AMG_4_DG< DGGO, DGCC, CGGFS, CGCC, TransferLOP, DGPrec, Solver, s >::parameters ( ) const

inline

Get the parameters describing the behaviuour of AMG.

The returned object can be adjusted to ones needs and then can be reset using setParameters.

Returns

The object holding the parameters of AMG.

setParameters()

template<class DGGO , class DGCC , class CGGFS , class CGCC , class TransferLOP , template< class, class, class, int > class DGPrec, template< class > class Solver, int s = 96>

void Dune::PDELab::ISTLBackend_OVLP_AMG_4_DG< DGGO, DGCC, CGGFS, CGCC, TransferLOP, DGPrec, Solver, s >::setParameters ( const Parameters &  amg_parameters_ )

inline

set AMG parameters

Parameters

[in]

amg_parameters_

a parameter object of Type Dune::Amg::Parameters

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

• dune/pdelab/backend/istl/ovlp_amg_dg_backend.hh