Dune::Fem::LinearScheme< Scheme > Struct Template Reference

#include <dune/fem/schemes/linearized.hh>

Inheritance diagram for Dune::Fem::LinearScheme< Scheme >:

Public Types
typedef Scheme	SchemeType
typedef SchemeType::LinearInverseOperatorType	LinearInverseOperatorType
typedef SchemeType::LinearOperatorType	BaseType
typedef FemScheme< SchemeType, LinearInverseOperatorType, LinearInverseOperatorType >	FSBaseType
typedef SchemeType::DiscreteFunctionType	DiscreteFunctionType
typedef SchemeType::DiscreteFunctionSpaceType	DiscreteFunctionSpaceType
typedef SchemeType::GridPartType	GridPartType
typedef LinearInverseOperatorType::SolverParameterType	ParameterType
typedef SchemeType::ModelType	ModelType
typedef SchemeType::JacobianOperatorType	JacobianOperatorType
typedef SchemeType::DomainFunctionType	DomainFunctionType
typedef SchemeType::RangeFunctionType	RangeFunctionType
typedef SchemeType::DirichletBlockVector	DirichletBlockVector
typedef Dune::Fem::PreconditionerFunctionWrapper< RangeFunctionType, DomainFunctionType >	PreconditionerFunctionWrapperType
typedef PreconditionerFunctionWrapperType::PreconditionerFunctionType	PreconditionerFunctionType
typedef LinearInverseOperatorType::SolverInfoType	SolverInfoType
typedef Scheme	DifferentiableOperatorType
typedef GridPartType::GridType	GridType
	type of underlying hierarchical grid needed for data output
typedef DiscreteFunctionSpaceType::FunctionSpaceType	FunctionSpaceType
	type of function space (scalar functions, \( f: \Omega -> R) \)
typedef Operator::JacobianOperatorType	LinearOperatorType
typedef Scheme::LinearInverseOperatorType	InverseOperatorType
typedef InverseOperatorType::ErrorMeasureType	ErrorMeasureType
typedef FunctionSpaceType::RangeType	RangeType

Public Member Functions
	LinearScheme (SchemeType &scheme, Dune::Fem::ParameterReader parameter=Dune::Fem::Parameter::container())
	LinearScheme (SchemeType &scheme, const DiscreteFunctionType &ubar, Dune::Fem::ParameterReader parameter=Dune::Fem::Parameter::container())
void	setErrorMeasure () const
virtual void	clear () override
void	operator() (const DiscreteFunctionType &u, DiscreteFunctionType &w) const override
template<class GridFunction >
void	operator() (const GridFunction &arg, DiscreteFunctionType &dest) const
SolverInfoType	solve (const DiscreteFunctionType &rhs, DiscreteFunctionType &solution) const
SolverInfoType	solve (const DiscreteFunctionType &rhs, DiscreteFunctionType &solution, const PreconditionerFunctionType &p) const
SolverInfoType	solve (DiscreteFunctionType &solution) const
const SchemeType &	scheme () const
const ParameterReader &	parameter () const
DiscreteFunctionType &	temporaryData () const
const DifferentiableOperatorType &	fullOperator () const
DifferentiableOperatorType &	fullOperator ()
std::size_t	gridSizeInterior () const
auto	setQuadratureOrders (unsigned int interior, unsigned int surface) -> Dune::void_t< decltype(std::declval< O >().setQuadratureOrders(0, 0)) >
void	setConstraints (DomainFunctionType &u) const
void	setConstraints (const DiscreteFunctionType &u, DiscreteFunctionType &v) const
void	setConstraints (const GridFunctionType &u, DiscreteFunctionType &v) const
void	setConstraints (const RangeType &value, DiscreteFunctionType &u) const
void	setConstraints (JacobianOperatorType &lin) const
void	subConstraints (const DiscreteFunctionType &u, DiscreteFunctionType &v) const
void	subConstraints (DiscreteFunctionType &v) const
void	addConstraints (const DiscreteFunctionType &u, DiscreteFunctionType &v) const
void	addConstraints (DiscreteFunctionType &v) const
const auto &	dirichletBlocks () const
void	operator() (const DiscreteFunctionType &arg, DiscreteFunctionType &dest) const
auto	operator() (const GridFunction &arg, DiscreteFunctionType &dest) const -> Dune::void_t< decltype(std::declval< const Scheme & >()(arg, dest))>
void	setErrorMeasure (ErrorMeasureType &errorMeasure) const
SolverInfoType	solve (const DiscreteFunctionType &rhs, DiscreteFunctionType &solution) const
SolverInfoType	solve (const DiscreteFunctionType &rhs, DiscreteFunctionType &solution, const PreconditionerFunctionType &p) const
SolverInfoType	solve (DiscreteFunctionType &solution) const
SolverInfoType	solve (DiscreteFunctionType &solution, const PreconditionerFunctionType &p) const
void	jacobian (const GridFunction &ubar, JacobianOperatorType &linOp) const
const GridPartType &	gridPart () const
const DiscreteFunctionSpaceType &	space () const
const ModelType &	model () const
ModelType &	model ()

Static Public Attributes
static const int	dimRange
static constexpr bool	addDirichletBC

Protected Member Functions
SolverInfoType	_solve (const DiscreteFunctionType &rhs, DiscreteFunctionType &solution) const

Protected Attributes
bool	isBound_
Dune::Fem::ParameterReader	parameter_
DiscreteFunctionType	tmp_
const DiscreteFunctionSpaceType &	space_
std::shared_ptr< DifferentiableOperatorType >	fullOpPtr_
DifferentiableOperatorType &	fullOperator_
InverseOperatorType	invOp_

Member Typedef Documentation

BaseType

template<class Scheme >

typedef SchemeType::LinearOperatorType Dune::Fem::LinearScheme< Scheme >::BaseType

DifferentiableOperatorType

typedef Scheme Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::DifferentiableOperatorType

inherited

DirichletBlockVector

template<class Scheme >

typedef SchemeType::DirichletBlockVector Dune::Fem::LinearScheme< Scheme >::DirichletBlockVector

DiscreteFunctionSpaceType

template<class Scheme >

typedef SchemeType::DiscreteFunctionSpaceType Dune::Fem::LinearScheme< Scheme >::DiscreteFunctionSpaceType

DiscreteFunctionType

template<class Scheme >

typedef SchemeType::DiscreteFunctionType Dune::Fem::LinearScheme< Scheme >::DiscreteFunctionType

DomainFunctionType

template<class Scheme >

typedef SchemeType::DomainFunctionType Dune::Fem::LinearScheme< Scheme >::DomainFunctionType

ErrorMeasureType

typedef InverseOperatorType::ErrorMeasureType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::ErrorMeasureType

inherited

FSBaseType

template<class Scheme >

typedef FemScheme< SchemeType, LinearInverseOperatorType, LinearInverseOperatorType > Dune::Fem::LinearScheme< Scheme >::FSBaseType

FunctionSpaceType

typedef DiscreteFunctionSpaceType::FunctionSpaceType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::FunctionSpaceType

inherited

type of function space (scalar functions, \( f: \Omega -> R) \)

GridPartType

template<class Scheme >

typedef SchemeType::GridPartType Dune::Fem::LinearScheme< Scheme >::GridPartType

GridType

typedef GridPartType::GridType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::GridType

inherited

type of underlying hierarchical grid needed for data output

InverseOperatorType

typedef Scheme::LinearInverseOperatorType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::InverseOperatorType

inherited

JacobianOperatorType

template<class Scheme >

typedef SchemeType::JacobianOperatorType Dune::Fem::LinearScheme< Scheme >::JacobianOperatorType

LinearInverseOperatorType

template<class Scheme >

typedef SchemeType::LinearInverseOperatorType Dune::Fem::LinearScheme< Scheme >::LinearInverseOperatorType

LinearOperatorType

typedef Operator::JacobianOperatorType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::LinearOperatorType

inherited

ModelType

template<class Scheme >

typedef SchemeType::ModelType Dune::Fem::LinearScheme< Scheme >::ModelType

ParameterType

template<class Scheme >

typedef LinearInverseOperatorType::SolverParameterType Dune::Fem::LinearScheme< Scheme >::ParameterType

PreconditionerFunctionType

template<class Scheme >

typedef PreconditionerFunctionWrapperType::PreconditionerFunctionType Dune::Fem::LinearScheme< Scheme >::PreconditionerFunctionType

PreconditionerFunctionWrapperType

template<class Scheme >

typedef Dune::Fem::PreconditionerFunctionWrapper<RangeFunctionType,DomainFunctionType > Dune::Fem::LinearScheme< Scheme >::PreconditionerFunctionWrapperType

RangeFunctionType

template<class Scheme >

typedef SchemeType::RangeFunctionType Dune::Fem::LinearScheme< Scheme >::RangeFunctionType

RangeType

typedef FunctionSpaceType::RangeType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::RangeType

inherited

SchemeType

template<class Scheme >

typedef Scheme Dune::Fem::LinearScheme< Scheme >::SchemeType

SolverInfoType

template<class Scheme >

typedef LinearInverseOperatorType::SolverInfoType Dune::Fem::LinearScheme< Scheme >::SolverInfoType

Constructor & Destructor Documentation

LinearScheme() [1/2]

template<class Scheme >

Dune::Fem::LinearScheme< Scheme >::LinearScheme ( SchemeType &  scheme, Dune::Fem::ParameterReader  parameter = Dune::Fem::Parameter::container()  )

inline

Todo:

@docme

LinearScheme() [2/2]

template<class Scheme >

Dune::Fem::LinearScheme< Scheme >::LinearScheme ( SchemeType &  scheme, const DiscreteFunctionType &  ubar, Dune::Fem::ParameterReader  parameter = Dune::Fem::Parameter::container()  )

inline

Todo:

@docme

Member Function Documentation

_solve()

SolverInfoType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::_solve ( const DiscreteFunctionType &  rhs, DiscreteFunctionType &  solution  ) const

inlineprotectedinherited

addConstraints() [1/2]

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::addConstraints ( const DiscreteFunctionType &  u, DiscreteFunctionType &  v  ) const

inlineinherited

addConstraints() [2/2]

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::addConstraints ( DiscreteFunctionType &  v ) const

inlineinherited

clear()

template<class Scheme >

virtual void Dune::Fem::LinearScheme< Scheme >::clear ( )

inlineoverridevirtual

dirichletBlocks()

const auto & Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::dirichletBlocks ( ) const

inlineinherited

fullOperator() [1/2]

DifferentiableOperatorType & Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::fullOperator ( )

inlineinherited

fullOperator() [2/2]

const DifferentiableOperatorType & Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::fullOperator ( ) const

inlineinherited

gridPart()

const GridPartType & Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::gridPart ( ) const

inlineinherited

gridSizeInterior()

std::size_t Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::gridSizeInterior ( ) const

inlineinherited

jacobian()

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::jacobian ( const GridFunction &  ubar, JacobianOperatorType &  linOp  ) const

inlineinherited

model() [1/2]

ModelType & Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::model ( )

inlineinherited

model() [2/2]

const ModelType & Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::model ( ) const

inlineinherited

operator()() [1/4]

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::operator() ( const DiscreteFunctionType &  arg, DiscreteFunctionType &  dest  ) const

inlineinherited

operator()() [2/4]

template<class Scheme >

void Dune::Fem::LinearScheme< Scheme >::operator() ( const DiscreteFunctionType &  u, DiscreteFunctionType &  w  ) const

inlineoverride

operator()() [3/4]

template<class Scheme >

template<class GridFunction >

void Dune::Fem::LinearScheme< Scheme >::operator() ( const GridFunction &  arg, DiscreteFunctionType &  dest  ) const

inline

operator()() [4/4]

auto Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::operator() ( const GridFunction &  arg, DiscreteFunctionType &  dest  ) const-> Dune::void_t<decltype(std::declval<const Scheme &>()(arg,dest))>

inlineinherited

parameter()

template<class Scheme >

const ParameterReader & Dune::Fem::LinearScheme< Scheme >::parameter ( ) const

inline

scheme()

template<class Scheme >

const SchemeType & Dune::Fem::LinearScheme< Scheme >::scheme ( ) const

inline

setConstraints() [1/5]

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::setConstraints ( const DiscreteFunctionType &  u, DiscreteFunctionType &  v  ) const

inlineinherited

setConstraints() [2/5]

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::setConstraints ( const GridFunctionType &  u, DiscreteFunctionType &  v  ) const

inlineinherited

setConstraints() [3/5]

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::setConstraints ( const RangeType &  value, DiscreteFunctionType &  u  ) const

inlineinherited

setConstraints() [4/5]

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::setConstraints ( DomainFunctionType &  u ) const

inlineinherited

setConstraints() [5/5]

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::setConstraints ( JacobianOperatorType &  lin ) const

inlineinherited

setErrorMeasure() [1/2]

template<class Scheme >

void Dune::Fem::LinearScheme< Scheme >::setErrorMeasure ( ) const

inline

Note: this sets the error message of the non-existing non-linear solver and must be here in order to make the python bindings happy!

setErrorMeasure() [2/2]

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::setErrorMeasure ( ErrorMeasureType &  errorMeasure ) const

inlineinherited

setQuadratureOrders()

auto Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::setQuadratureOrders ( unsigned int  interior, unsigned int  surface  ) -> Dune::void_t< decltype( std::declval< O >().setQuadratureOrders(0,0) ) >

inlineinherited

solve() [1/7]

SolverInfoType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::solve ( const DiscreteFunctionType &  rhs, DiscreteFunctionType &  solution  ) const

inlineinherited

solve() [2/7]

template<class Scheme >

SolverInfoType Dune::Fem::LinearScheme< Scheme >::solve ( const DiscreteFunctionType &  rhs, DiscreteFunctionType &  solution  ) const

inline

solve() [3/7]

SolverInfoType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::solve ( const DiscreteFunctionType &  rhs, DiscreteFunctionType &  solution, const PreconditionerFunctionType &  p  ) const

inlineinherited

solve() [4/7]

template<class Scheme >

SolverInfoType Dune::Fem::LinearScheme< Scheme >::solve ( const DiscreteFunctionType &  rhs, DiscreteFunctionType &  solution, const PreconditionerFunctionType &  p  ) const

inline

solve() [5/7]

SolverInfoType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::solve ( DiscreteFunctionType &  solution ) const

inlineinherited

solve() [6/7]

template<class Scheme >

SolverInfoType Dune::Fem::LinearScheme< Scheme >::solve ( DiscreteFunctionType &  solution ) const

inline

Solve the system defined by the affine-linear operator without additional rhs, i.e. the rhs is implied by the "affine shift" of the underlying affine linear operator. Dirichlet constraints will be enforced if present in the model.

solve() [7/7]

SolverInfoType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::solve ( DiscreteFunctionType &  solution, const PreconditionerFunctionType &  p  ) const

inlineinherited

space()

const DiscreteFunctionSpaceType & Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::space ( ) const

inlineinherited

subConstraints() [1/2]

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::subConstraints ( const DiscreteFunctionType &  u, DiscreteFunctionType &  v  ) const

inlineinherited

subConstraints() [2/2]

void Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::subConstraints ( DiscreteFunctionType &  v ) const

inlineinherited

temporaryData()

template<class Scheme >

DiscreteFunctionType & Dune::Fem::LinearScheme< Scheme >::temporaryData ( ) const

inline

Member Data Documentation

addDirichletBC

constexpr bool Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::addDirichletBC

staticconstexprinherited

dimRange

const int Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::dimRange

staticinherited

fullOperator_

DifferentiableOperatorType& Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::fullOperator_

protectedinherited

fullOpPtr_

std::shared_ptr< DifferentiableOperatorType > Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::fullOpPtr_

protectedinherited

invOp_

InverseOperatorType Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::invOp_

mutableprotectedinherited

isBound_

template<class Scheme >

bool Dune::Fem::LinearScheme< Scheme >::isBound_

mutableprotected

parameter_

template<class Scheme >

Dune::Fem::ParameterReader Dune::Fem::LinearScheme< Scheme >::parameter_

protected

space_

const DiscreteFunctionSpaceType& Dune::Fem::FemScheme< Scheme , Scheme::LinearInverseOperatorType , Scheme::LinearInverseOperatorType >::space_

protectedinherited

tmp_

template<class Scheme >

DiscreteFunctionType Dune::Fem::LinearScheme< Scheme >::tmp_

mutableprotected

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

• linearized.hh