Proxy class for the linearization of semi-linear time stepping schemes. More...

#include <functional_aux.hh>

Detailed Description

template<class Functional>
class Kaskade::SemiLinearizationAt< Functional >

Proxy class for the linearization of semi-linear time stepping schemes.

The sole difference to LinearizationAt is the second linearization point

uJ, which is used to compute the Jacobian \( J \) occuring in
\[ B \dot u - J u = f(u) - J u. \]

Template Parameters

Functional a weak formulation of a parabolic equation

Definition at line 906 of file functional_aux.hh.

Inheritance diagram for Kaskade::SemiLinearizationAt< Functional >:

Public Types
typedef Functional	Functional

typedef Functional::Scalar	Scalar

typedef Functional::AnsatzVars	AnsatzVars

typedef Functional::TestVars	TestVars

typedef Functional::OriginVars	OriginVars

typedef Functional::DomainCache	DomainCache

typedef Functional::BoundaryCache	BoundaryCache

typedef Functional::OriginVars::VariableSet	PointOfLinearization
	Type of variables around which the functional will be linearized. More...

Public Member Functions
	SemiLinearizationAt (Functional const &f_, typename Functional::AnsatzVars::VariableSet const &u_, typename Functional::AnsatzVars::VariableSet const &uJ_, typename Functional::AnsatzVars::VariableSet const &du_)
	Constructor. More...

Functional::DomainCache	createDomainCache (int flags) const

Functional::BoundaryCache	createBoundaryCache (int flags) const

int	integrationOrder (Cell const &cell, int shapeFunctionOrder, bool boundary) const
	integration order More...

auto	makePositiveThreshold () const

PointOfLinearization const &	getOrigin () const
	Get point of linearization. More...

Functional const &	getFunctional () const
	Get functional. More...

int	derivatives () const
	Gives the highest derivative that arises in the weak formulation. More...

Static Public Attributes
static ProblemType const	type

Protected Attributes
Functional const &	f

PointOfLinearization const &	u

Related Functions
(Note that these are not member functions.)
template<class Functional >
SemiLinearizationAt< Functional >	semiLinearization (Functional const &f, typename Functional::AnsatzVars::VariableSet const &u, typename Functional::AnsatzVars::VariableSet const &uJ, typename Functional::AnsatzVars::VariableSet const &du)
	Convenience routine for constructing semi-linearizations. More...

LinearizationAt< Functional >	linearization (Functional const &f, typename Functional::OriginVars::VariableSet const &u)
	Convenience routine: construct linearization without having to know the type of the functional. More...

Member Typedef Documentation

◆ AnsatzVars

typedef Functional::AnsatzVars Kaskade::LinearizationAt< Functional >::AnsatzVars

inherited

Definition at line 622 of file functional_aux.hh.

◆ BoundaryCache

typedef Functional::BoundaryCache Kaskade::LinearizationAt< Functional >::BoundaryCache

inherited

Definition at line 627 of file functional_aux.hh.

◆ DomainCache

typedef Functional::DomainCache Kaskade::LinearizationAt< Functional >::DomainCache

inherited

Definition at line 626 of file functional_aux.hh.

◆ Functional

typedef Functional Kaskade::LinearizationAt< Functional >::Functional

inherited

Definition at line 617 of file functional_aux.hh.

◆ OriginVars

typedef Functional::OriginVars Kaskade::LinearizationAt< Functional >::OriginVars

inherited

Definition at line 624 of file functional_aux.hh.

◆ PointOfLinearization

typedef Functional::OriginVars::VariableSet Kaskade::LinearizationAt< Functional >::PointOfLinearization

inherited

Type of variables around which the functional will be linearized.

The type of "iterate", i.e. the point around which the functional is linearized in the ansatz and test spaces. Note that this can be, but need not be, the ansatz space itself. In any case, it must refer to the same list of FE spaces.

\TODO: Why that? It must have the same number of variables with the same number of components each, but the underlying FE spaces can be different.

Definition at line 641 of file functional_aux.hh.

◆ Scalar

typedef Functional::Scalar Kaskade::LinearizationAt< Functional >::Scalar

inherited

Definition at line 620 of file functional_aux.hh.

◆ TestVars

typedef Functional::TestVars Kaskade::LinearizationAt< Functional >::TestVars

inherited

Definition at line 623 of file functional_aux.hh.

Constructor & Destructor Documentation

◆ SemiLinearizationAt()

template<class Functional >

Kaskade::SemiLinearizationAt< Functional >::SemiLinearizationAt	(	Functional const &	f_,
		typename Functional::AnsatzVars::VariableSet const &	u_,
		typename Functional::AnsatzVars::VariableSet const &	uJ_,
		typename Functional::AnsatzVars::VariableSet const &	du_
	)

inline

Constructor.

Parameters

time	dependent functional
u_	point of linearization for the time differential operator (i.e. used for Cache::b2)
uJ_	point of linearization for spatial differential operator (i.e. used for Cache::d2)
du_	correction of last time step

Definition at line 916 of file functional_aux.hh.

Member Function Documentation

◆ createBoundaryCache()

template<class Functional >

Functional::BoundaryCache Kaskade::SemiLinearizationAt< Functional >::createBoundaryCache ( int flags ) const

inline

Definition at line 927 of file functional_aux.hh.

◆ createDomainCache()

template<class Functional >

Functional::DomainCache Kaskade::SemiLinearizationAt< Functional >::createDomainCache ( int flags ) const

inline

Definition at line 922 of file functional_aux.hh.

◆ derivatives()

int Kaskade::LinearizationAt< Functional >::derivatives ( ) const

inlineinherited

Gives the highest derivative that arises in the weak formulation.

Definition at line 703 of file functional_aux.hh.

◆ getFunctional()

Functional const & Kaskade::LinearizationAt< Functional >::getFunctional ( ) const

inlineinherited

Get functional.

Definition at line 695 of file functional_aux.hh.

◆ getOrigin()

PointOfLinearization const & Kaskade::LinearizationAt< Functional >::getOrigin ( ) const

inlineinherited

Get point of linearization.

Definition at line 689 of file functional_aux.hh.

◆ integrationOrder()

int Kaskade::LinearizationAt< Functional >::integrationOrder	(	Cell const &	cell,
		int	shapeFunctionOrder,
		bool	boundary
	)		const

inlineinherited

integration order

Definition at line 677 of file functional_aux.hh.

◆ makePositiveThreshold()

auto Kaskade::LinearizationAt< Functional >::makePositiveThreshold ( ) const

inlineinherited

Definition at line 683 of file functional_aux.hh.

Friends And Related Function Documentation

◆ linearization()

LinearizationAt< Functional > linearization	(	Functional const &	f,
		typename Functional::OriginVars::VariableSet const &	u
	)

Definition at line 721 of file functional_aux.hh.

◆ semiLinearization()

template<class Functional >

SemiLinearizationAt< Functional > semiLinearization	(	Functional const &	f,
		typename Functional::AnsatzVars::VariableSet const &	u,
		typename Functional::AnsatzVars::VariableSet const &	uJ,
		typename Functional::AnsatzVars::VariableSet const &	du
	)

Definition at line 979 of file functional_aux.hh.

Member Data Documentation

◆ f

Functional const& Kaskade::LinearizationAt< Functional >::f

protectedinherited

Definition at line 709 of file functional_aux.hh.

◆ type

ProblemType const Kaskade::LinearizationAt< Functional >::type

staticinherited

Definition at line 618 of file functional_aux.hh.

◆ u

PointOfLinearization const& Kaskade::LinearizationAt< Functional >::u

protectedinherited

Definition at line 710 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

Static Public Attributes

Protected Attributes

Related Functions

Member Typedef Documentation

◆ AnsatzVars

◆ BoundaryCache

◆ DomainCache

◆ Functional

◆ OriginVars

◆ PointOfLinearization

◆ Scalar

◆ TestVars

Constructor & Destructor Documentation

◆ SemiLinearizationAt()

Member Function Documentation

◆ createBoundaryCache()

◆ createDomainCache()

◆ derivatives()

◆ getFunctional()

◆ getOrigin()

◆ integrationOrder()

◆ makePositiveThreshold()

Friends And Related Function Documentation

◆ linearization()

◆ semiLinearization()

Member Data Documentation

◆ f

◆ type

◆ u