Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV > Class Template Reference

#include <dune/pdelab/gridoperator/fastdg.hh>

Classes
struct	MatrixContainer
struct	SetupGridOperator

Public Types
typedef FastDGAssembler< GFSU, GFSV, CU, CV >	Assembler
	The global assembler type. More...
using	Domain = Dune::PDELab::Backend::Vector< GFSU, DF >
	The type of the domain (solution). More...
using	Range = Dune::PDELab::Backend::Vector< GFSV, RF >
	The type of the range (residual). More...
using	Jacobian = Dune::PDELab::Backend::Matrix< MB, Domain, Range, JF >
	The type of the jacobian. More...
typedef MB::template Pattern< Jacobian, GFSV, GFSU >	Pattern
	The sparsity pattern container for the jacobian matrix. More...
typedef FastDGLocalAssembler< FastDGGridOperator, LOP, GFSU::Traits::EntitySet::Partitions::partitionIterator()==InteriorBorder_Partition >	LocalAssembler
	The local assembler type. More...
typedef std::conditional< GFSU::Traits::EntitySet::Partitions::partitionIterator()==InteriorBorder_Partition, NonOverlappingBorderDOFExchanger< FastDGGridOperator >, OverlappingBorderDOFExchanger< FastDGGridOperator > >::type	BorderDOFExchanger
typedef Dune::PDELab::GridOperatorTraits< GFSU, GFSV, MB, DF, RF, JF, CU, CV, Assembler, LocalAssembler >	Traits
	The grid operator traits. More...

Public Member Functions
	FastDGGridOperator (const GFSU &gfsu_, const CU &cu_, const GFSV &gfsv_, const CV &cv_, LOP &lop_, const MB &mb_=MB())
	Constructor for non trivial constraints. More...
	FastDGGridOperator (const GFSU &gfsu_, const GFSV &gfsv_, LOP &lop_, const MB &mb_=MB())
	Constructor for empty constraints. More...
const GFSU &	trialGridFunctionSpace () const
	Get the trial grid function space. More...
const GFSV &	testGridFunctionSpace () const
	Get the test grid function space. More...
CU &	trialGridFunctionSpaceConstraints ()
const CU &	trialGridFunctionSpaceConstraints () const
CV &	testGridFunctionSpaceConstraints ()
const CV &	testGridFunctionSpaceConstraints () const
LOP &	localOperator ()
const LOP &	localOperator () const
GFSU::Traits::SizeType	globalSizeU () const
	Get dimension of space u. More...
GFSV::Traits::SizeType	globalSizeV () const
	Get dimension of space v. More...
Assembler &	assembler ()
const Assembler &	assembler () const
LocalAssembler &	localAssembler () const
template<typename F , typename X >
void	interpolate (const X &xold, F &f, X &x) const
	Interpolate the constrained dofs from given function. More...
void	fill_pattern (Pattern &p) const
	Fill pattern of jacobian matrix. More...
void	residual (const Domain &x, Range &r) const
	Assemble residual. More...
void	jacobian (const Domain &x, Jacobian &a) const
	Assembler jacobian. More...
void	jacobian_apply (const Domain &x, Range &r) const
	Apply jacobian matrix without explicitly assembling it. More...
void	nonlinear_jacobian_apply (const Domain &x, const Domain &z, Range &r) const
	Apply jacobian matrix without explicitly assembling it. More...
void	make_consistent (Jacobian &a) const
void	update ()
const Traits::MatrixBackend &	matrixBackend () const
	Get the matrix backend for this grid operator. More...

Static Public Member Functions
template<typename GridOperatorTuple >
static void	setupGridOperators (GridOperatorTuple tuple)

Detailed Description

template<typename GFSU, typename GFSV, typename LOP, typename MB, typename DF, typename RF, typename JF, typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>
class Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >

Fast D(iscontinuous) G(alerkin) grid operator implementation.

Template Parameters

GFSU	GridFunctionSpace for ansatz functions
GFSV	GridFunctionSpace for test functions
MB	The matrix backend to be used for representation of the jacobian
DF	The domain field type of the operator
RF	The range field type of the operator
JF	The jacobian field type
CU	Constraints maps for the individual dofs (trial space)
CV	Constraints maps for the individual dofs (test space)

Member Typedef Documentation

Assembler

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

typedef FastDGAssembler<GFSU,GFSV,CU,CV> Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::Assembler

The global assembler type.

BorderDOFExchanger

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

typedef std::conditional< GFSU::Traits::EntitySet::Partitions::partitionIterator() == InteriorBorder_Partition, NonOverlappingBorderDOFExchanger<FastDGGridOperator>, OverlappingBorderDOFExchanger<FastDGGridOperator> >::type Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::BorderDOFExchanger

Domain

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

using Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::Domain = Dune::PDELab::Backend::Vector<GFSU,DF>

The type of the domain (solution).

Jacobian

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

using Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::Jacobian = Dune::PDELab::Backend::Matrix<MB,Domain,Range,JF>

The type of the jacobian.

LocalAssembler

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

typedef FastDGLocalAssembler< FastDGGridOperator, LOP, GFSU::Traits::EntitySet::Partitions::partitionIterator() == InteriorBorder_Partition > Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::LocalAssembler

The local assembler type.

Pattern

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

typedef MB::template Pattern<Jacobian,GFSV,GFSU> Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::Pattern

The sparsity pattern container for the jacobian matrix.

Range

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

using Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::Range = Dune::PDELab::Backend::Vector<GFSV,RF>

The type of the range (residual).

Traits

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

typedef Dune::PDELab::GridOperatorTraits<GFSU,GFSV,MB,DF,RF,JF,CU,CV,Assembler,LocalAssembler> Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::Traits

The grid operator traits.

Constructor & Destructor Documentation

FastDGGridOperator() [1/2]

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::FastDGGridOperator ( const GFSU &  gfsu_, const CU &  cu_, const GFSV &  gfsv_, const CV &  cv_, LOP &  lop_, const MB &  mb_ = MB()  )

inline

Constructor for non trivial constraints.

FastDGGridOperator() [2/2]

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::FastDGGridOperator ( const GFSU &  gfsu_, const GFSV &  gfsv_, LOP &  lop_, const MB &  mb_ = MB()  )

inline

Constructor for empty constraints.

Member Function Documentation

assembler() [1/2]

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

Assembler& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::assembler ( )

inline

assembler() [2/2]

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

const Assembler& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::assembler ( ) const

inline

fill_pattern()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

void Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::fill_pattern ( Pattern &  p ) const

inline

Fill pattern of jacobian matrix.

globalSizeU()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

GFSU::Traits::SizeType Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::globalSizeU ( ) const

inline

Get dimension of space u.

globalSizeV()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

GFSV::Traits::SizeType Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::globalSizeV ( ) const

inline

Get dimension of space v.

interpolate()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

template<typename F , typename X >

void Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::interpolate ( const X &  xold, F &  f, X &  x  ) const

inline

Interpolate the constrained dofs from given function.

jacobian()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

void Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::jacobian ( const Domain &  x, Jacobian &  a  ) const

inline

Assembler jacobian.

jacobian_apply()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

void Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::jacobian_apply ( const Domain &  x, Range &  r  ) const

inline

Apply jacobian matrix without explicitly assembling it.

localAssembler()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

LocalAssembler& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::localAssembler ( ) const

inline

localOperator() [1/2]

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

LOP& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::localOperator ( )

inline

localOperator() [2/2]

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

const LOP& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::localOperator ( ) const

inline

make_consistent()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

void Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::make_consistent ( Jacobian &  a ) const

inline

matrixBackend()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

const Traits::MatrixBackend& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::matrixBackend ( ) const

inline

Get the matrix backend for this grid operator.

nonlinear_jacobian_apply()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

void Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::nonlinear_jacobian_apply ( const Domain &  x, const Domain &  z, Range &  r  ) const

inline

Apply jacobian matrix without explicitly assembling it.

residual()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

void Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::residual ( const Domain &  x, Range &  r  ) const

inline

Assemble residual.

setupGridOperators()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

template<typename GridOperatorTuple >

static void Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::setupGridOperators ( GridOperatorTuple  tuple )

inlinestatic

Method to set up a number of grid operators which are used in a joint assembling. It is assumed that all operators are specializations of the same template type

testGridFunctionSpace()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

const GFSV& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::testGridFunctionSpace ( ) const

inline

Get the test grid function space.

testGridFunctionSpaceConstraints() [1/2]

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

CV& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::testGridFunctionSpaceConstraints ( )

inline

testGridFunctionSpaceConstraints() [2/2]

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

const CV& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::testGridFunctionSpaceConstraints ( ) const

inline

trialGridFunctionSpace()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

const GFSU& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::trialGridFunctionSpace ( ) const

inline

Get the trial grid function space.

trialGridFunctionSpaceConstraints() [1/2]

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

CU& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::trialGridFunctionSpaceConstraints ( )

inline

trialGridFunctionSpaceConstraints() [2/2]

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

const CU& Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::trialGridFunctionSpaceConstraints ( ) const

inline

update()

template<typename GFSU , typename GFSV , typename LOP , typename MB , typename DF , typename RF , typename JF , typename CU = Dune::PDELab::EmptyTransformation, typename CV = Dune::PDELab::EmptyTransformation>

void Dune::PDELab::FastDGGridOperator< GFSU, GFSV, LOP, MB, DF, RF, JF, CU, CV >::update ( )

inline

---

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

• fastdg.hh