Provides implementations of d1 and d2 for (possibly mixed) use of scalar and power spaces. More...

#include <functional_aux.hh>

Detailed Description

template<class Functional, class Cache, class ScalarT = typename Functional::Scalar>
class Kaskade::CacheBase< Functional, Cache, ScalarT >

Provides implementations of d1 and d2 for (possibly mixed) use of scalar and power spaces.

Implemented using CRTP. Just derive publicly from this functional if you want to use it. Uses VariationalArg as perturbation.

Todo:: docme better

Template Parameters

Functional	actual functional (only transports static information)
Cache	Functional::DomainCache or Functional::BoundaryCache, must implement Scalar d1_impl(...); and Scalar d2_impl(...);

Definition at line 327 of file functional_aux.hh.

Inheritance diagram for Kaskade::CacheBase< Functional, Cache, ScalarT >:

Public Types
using	Scalar = ScalarT

using	AnsatzVars = typename Functional::AnsatzVars

using	TestVars = typename Functional::TestVars

Public Member Functions
template<int row, int dimw>
Scalar	d1_local (VariationalArg< Scalar, dimw, TestComponents< row >::value > const &arg) const
	forward to implementation via CRTP More...

template<int row, int dimw>
Dune::FieldVector< Scalar, 1 >	d1 (VariationalArg< Scalar, dimw, TestComponents< row >::value > const &arg) const

template<int row, int dimw, class enable = typename std::enable_if_t<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>>
Vector< row >	d1 (VariationalArg< Scalar, dimw > const &scalarArg) const
	scalar argument for multi-component variables More...

template<int row, int col, int dim>
Scalar	d2_local (VariationalArg< Scalar, dim, TestComponents< row >::value > const &arg1, VariationalArg< Scalar, dim, AnsatzComponents< col >::value > const &arg2) const
	forward to implementation via CRTP More...

template<int row, int col, int dim, class enable1 = typename std::enable_if_t<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>, class enable2 = typename std::enable_if_t<Functional_Aux_Detail::LessThan<1,AnsatzComponents<row>::value>::value>>
Dune::FieldMatrix< Scalar, 1, 1 >	d2 (VariationalArg< Scalar, dim, TestComponents< row >::value > const &arg1, VariationalArg< Scalar, dim, AnsatzComponents< col >::value > const &arg2) const

template<int row, int col, int dim, int m2, class enable1 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>::type, class enable2 = typename std::enable_if<Functional_Aux_Detail::Equals<m2,AnsatzComponents<col>::value>::value>::type, class enable3 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,AnsatzComponents<col>::value>::value>::type>
Vector< row >	d2 (VariationalArg< Scalar, dim > const &scalarArg, VariationalArg< Scalar, dim, m2 > const &arg2) const
	scalar argument for multi-component variables More...

template<int row, int col, int dim, int m1, class enable1 = typename std::enable_if<Functional_Aux_Detail::Equals<m1,TestComponents<row>::value>::value>::type, class enable2 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>::type, class enable3 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,AnsatzComponents<col>::value>::value>::type>
Vector< row >	d2 (VariationalArg< Scalar, dim, m1 > const &arg1, VariationalArg< Scalar, dim > const &scalarArg) const
	scalar argument for multi-component variables More...

template<int row, int col, int dim>
Matrix< row, col >	d2 (VariationalArg< Scalar, dim > const &scalarArg1, VariationalArg< Scalar, dim > const &scalarArg2) const
	scalar argument for multi-component variables More...

template<int row, int col, int dim>
Scalar	b2_local (VariationalArg< Scalar, dim, TestComponents< row >::value > const &arg1, VariationalArg< Scalar, dim, AnsatzComponents< col >::value > const &arg2) const
	forward to implementation via CRTP More...

template<int row, int col, int dim, class enable1 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>::type, class enable2 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,AnsatzComponents<row>::value>::value>::type>
Dune::FieldMatrix< Scalar, 1, 1 >	b2 (VariationalArg< Scalar, dim, TestComponents< row >::value > const &arg1, VariationalArg< Scalar, dim, AnsatzComponents< col >::value > const &arg2) const

template<int row, int col, int dim, int m2, class enable1 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>::type, class enable2 = typename std::enable_if<Functional_Aux_Detail::Equals<m2,AnsatzComponents<col>::value>::value>::type, class enable3 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,AnsatzComponents<col>::value>::value>::type>
Vector< row >	b2 (VariationalArg< Scalar, dim > const &scalarArg, VariationalArg< Scalar, dim, m2 > const &arg2) const
	scalar argument for multi-component variables More...

template<int row, int col, int dim, int m1, class enable1 = typename std::enable_if<Functional_Aux_Detail::Equals<m1,TestComponents<row>::value>::value>::type, class enable2 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>::type, class enable3 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,AnsatzComponents<col>::value>::value>::type>
Vector< row >	b2 (VariationalArg< Scalar, dim, m1 > const &arg1, VariationalArg< Scalar, dim > const &scalarArg) const
	scalar argument for multi-component variables More...

template<int row, int col, int dim>
Matrix< row, col >	b2 (VariationalArg< Scalar, dim > const &scalarArg1, VariationalArg< Scalar, dim > const &scalarArg2) const
	scalar argument for multi-component variables More...

void	moveTo (Entity const &)

void	evaluateAt (Position const &, Evaluators const &)

Scalar	d0 ()

Dune::FieldVector< Scalar, TestVars::template components< row > >	d1 (VariationalArg< Scalar, dim > const &arg) const

Dune::FieldMatrix< Scalar, TestVars::template components< row >, AnsatzVars::template components< row > >	d2 (VariationalArg< Scalar, dim > const &, VariationalArg< Scalar, dim > const &) const

Member Typedef Documentation

◆ AnsatzVars

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

using Kaskade::CacheBase< Functional, Cache, ScalarT >::AnsatzVars = typename Functional::AnsatzVars

Definition at line 331 of file functional_aux.hh.

◆ Scalar

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

using Kaskade::CacheBase< Functional, Cache, ScalarT >::Scalar = ScalarT

Definition at line 330 of file functional_aux.hh.

◆ TestVars

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

using Kaskade::CacheBase< Functional, Cache, ScalarT >::TestVars = typename Functional::TestVars

Definition at line 332 of file functional_aux.hh.

Member Function Documentation

◆ b2() [1/4]

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int col, int dim, int m2, class enable1 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>::type, class enable2 = typename std::enable_if<Functional_Aux_Detail::Equals<m2,AnsatzComponents<col>::value>::value>::type, class enable3 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,AnsatzComponents<col>::value>::value>::type>

Vector< row > Kaskade::CacheBase< Functional, Cache, ScalarT >::b2	(	VariationalArg< Scalar, dim > const &	scalarArg,
		VariationalArg< Scalar, dim, m2 > const &	arg2
	)		const

inline

scalar argument for multi-component variables

Definition at line 476 of file functional_aux.hh.

◆ b2() [2/4]

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int col, int dim>

Matrix< row, col > Kaskade::CacheBase< Functional, Cache, ScalarT >::b2	(	VariationalArg< Scalar, dim > const &	scalarArg1,
		VariationalArg< Scalar, dim > const &	scalarArg2
	)		const

inline

scalar argument for multi-component variables

Definition at line 514 of file functional_aux.hh.

◆ b2() [3/4]

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int col, int dim, int m1, class enable1 = typename std::enable_if<Functional_Aux_Detail::Equals<m1,TestComponents<row>::value>::value>::type, class enable2 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>::type, class enable3 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,AnsatzComponents<col>::value>::value>::type>

Vector< row > Kaskade::CacheBase< Functional, Cache, ScalarT >::b2	(	VariationalArg< Scalar, dim, m1 > const &	arg1,
		VariationalArg< Scalar, dim > const &	scalarArg
	)		const

inline

scalar argument for multi-component variables

Definition at line 497 of file functional_aux.hh.

◆ b2() [4/4]

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int col, int dim, class enable1 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>::type, class enable2 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,AnsatzComponents<row>::value>::value>::type>

Dune::FieldMatrix< Scalar, 1, 1 > Kaskade::CacheBase< Functional, Cache, ScalarT >::b2	(	VariationalArg< Scalar, dim, TestComponents< row >::value > const &	arg1,
		VariationalArg< Scalar, dim, AnsatzComponents< col >::value > const &	arg2
	)		const

inline

Definition at line 465 of file functional_aux.hh.

◆ b2_local()

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int col, int dim>

Scalar Kaskade::CacheBase< Functional, Cache, ScalarT >::b2_local	(	VariationalArg< Scalar, dim, TestComponents< row >::value > const &	arg1,
		VariationalArg< Scalar, dim, AnsatzComponents< col >::value > const &	arg2
	)		const

inline

forward to implementation via CRTP

Definition at line 456 of file functional_aux.hh.

◆ d0()

Scalar Kaskade::TrivialCacheBase< Functional::AnsatzVars , Functional::TestVars >::d0 ( )

inlineinherited

Definition at line 291 of file functional_aux.hh.

◆ d1() [1/3]

Dune::FieldVector< Scalar, TestVars::template components< row > > Kaskade::TrivialCacheBase< Functional::AnsatzVars , Functional::TestVars >::d1 ( VariationalArg< Scalar, dim > const & arg ) const

inlineinherited

Definition at line 297 of file functional_aux.hh.

◆ d1() [2/3]

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int dimw, class enable = typename std::enable_if_t<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>>

Vector< row > Kaskade::CacheBase< Functional, Cache, ScalarT >::d1 ( VariationalArg< Scalar, dimw > const & scalarArg ) const

inline

scalar argument for multi-component variables

Definition at line 356 of file functional_aux.hh.

◆ d1() [3/3]

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int dimw>

Dune::FieldVector< Scalar, 1 > Kaskade::CacheBase< Functional, Cache, ScalarT >::d1 ( VariationalArg< Scalar, dimw, TestComponents< row >::value > const & arg ) const

inline

Definition at line 349 of file functional_aux.hh.

◆ d1_local()

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int dimw>

Scalar Kaskade::CacheBase< Functional, Cache, ScalarT >::d1_local ( VariationalArg< Scalar, dimw, TestComponents< row >::value > const & arg ) const

inline

forward to implementation via CRTP

Definition at line 343 of file functional_aux.hh.

◆ d2() [1/5]

Dune::FieldMatrix< Scalar, TestVars::template components< row >, AnsatzVars::template components< row > > Kaskade::TrivialCacheBase< Functional::AnsatzVars , Functional::TestVars >::d2	(	VariationalArg< Scalar, dim > const &	,
		VariationalArg< Scalar, dim > const &
	)		const

inlineinherited

Definition at line 304 of file functional_aux.hh.

◆ d2() [2/5]

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int col, int dim, int m2, class enable1 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>::type, class enable2 = typename std::enable_if<Functional_Aux_Detail::Equals<m2,AnsatzComponents<col>::value>::value>::type, class enable3 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,AnsatzComponents<col>::value>::value>::type>

Vector< row > Kaskade::CacheBase< Functional, Cache, ScalarT >::d2	(	VariationalArg< Scalar, dim > const &	scalarArg,
		VariationalArg< Scalar, dim, m2 > const &	arg2
	)		const

inline

scalar argument for multi-component variables

Definition at line 394 of file functional_aux.hh.

◆ d2() [3/5]

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int col, int dim>

Matrix< row, col > Kaskade::CacheBase< Functional, Cache, ScalarT >::d2	(	VariationalArg< Scalar, dim > const &	scalarArg1,
		VariationalArg< Scalar, dim > const &	scalarArg2
	)		const

inline

scalar argument for multi-component variables

Definition at line 432 of file functional_aux.hh.

◆ d2() [4/5]

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int col, int dim, int m1, class enable1 = typename std::enable_if<Functional_Aux_Detail::Equals<m1,TestComponents<row>::value>::value>::type, class enable2 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>::type, class enable3 = typename std::enable_if<Functional_Aux_Detail::LessThan<1,AnsatzComponents<col>::value>::value>::type>

Vector< row > Kaskade::CacheBase< Functional, Cache, ScalarT >::d2	(	VariationalArg< Scalar, dim, m1 > const &	arg1,
		VariationalArg< Scalar, dim > const &	scalarArg
	)		const

inline

scalar argument for multi-component variables

Definition at line 415 of file functional_aux.hh.

◆ d2() [5/5]

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int col, int dim, class enable1 = typename std::enable_if_t<Functional_Aux_Detail::LessThan<1,TestComponents<row>::value>::value>, class enable2 = typename std::enable_if_t<Functional_Aux_Detail::LessThan<1,AnsatzComponents<row>::value>::value>>

Dune::FieldMatrix< Scalar, 1, 1 > Kaskade::CacheBase< Functional, Cache, ScalarT >::d2	(	VariationalArg< Scalar, dim, TestComponents< row >::value > const &	arg1,
		VariationalArg< Scalar, dim, AnsatzComponents< col >::value > const &	arg2
	)		const

inline

Definition at line 383 of file functional_aux.hh.

◆ d2_local()

template<class Functional , class Cache , class ScalarT = typename Functional::Scalar>

template<int row, int col, int dim>

Scalar Kaskade::CacheBase< Functional, Cache, ScalarT >::d2_local	(	VariationalArg< Scalar, dim, TestComponents< row >::value > const &	arg1,
		VariationalArg< Scalar, dim, AnsatzComponents< col >::value > const &	arg2
	)		const

inline

forward to implementation via CRTP

Definition at line 374 of file functional_aux.hh.

◆ evaluateAt()

void Kaskade::TrivialCacheBase< Functional::AnsatzVars , Functional::TestVars >::evaluateAt	(	Position const &	,
		Evaluators const &
	)

inlineinherited

Definition at line 289 of file functional_aux.hh.

◆ moveTo()

void Kaskade::TrivialCacheBase< Functional::AnsatzVars , Functional::TestVars >::moveTo ( Entity const & )

inlineinherited

Definition at line 286 of file functional_aux.hh.

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

functional_aux.hh

Detailed Description

Public Types

Public Member Functions

Member Typedef Documentation

◆ AnsatzVars

◆ Scalar

◆ TestVars

Member Function Documentation

◆ b2() [1/4]

◆ b2() [2/4]

◆ b2() [3/4]

◆ b2() [4/4]

◆ b2_local()

◆ d0()

◆ d1() [1/3]

◆ d1() [2/3]

◆ d1() [3/3]

◆ d1_local()

◆ d2() [1/5]

◆ d2() [2/5]

◆ d2() [3/5]

◆ d2() [4/5]

◆ d2() [5/5]

◆ d2_local()

◆ evaluateAt()

◆ moveTo()