Responsible to build the T columns belonging to inner degrees of freedom in a L2 conforming space with shape functions in tensor product structure. More...

#include <buildL2TColumns.hh>

Inheritance diagram for hp2D::BuildL2InnerTColumns< F >:

Public Types
typedef concepts::SpaceHelper< F, SpacePreBuilder >	SpaceHelper

Public Member Functions
	BuildL2InnerTColumns ()
	Default constructor. More...

	BuildL2InnerTColumns (SpaceHelper &spc)
	Constructor. More...

virtual BuildL2InnerTColumns< F > *	clone (SpaceHelper *spc=0) const

virtual BuildTColumnsBase< concepts::Real > *	clone (SpaceHelper *spc=0) const=0

virtual BuildTColumnsBase< concepts::Real, SpacePreBuilder > *	clone (SpaceHelper< concepts::Real, SpacePreBuilder > *spc=0) const=0
	Virtual copy constructor with a twist. More...

virtual void	operator() (const concepts::Connector2 &cntr, concepts::TColumn< concepts::Real > *&T1) const=0
	Builds the degrees of freedom for a quad. More...

virtual void	operator() (const concepts::Connector2 &cntr, concepts::TColumn< F > *&T1) const
	Builds the degrees of freedom. More...

SpacePreBuilder &	prebuild () const
	Returns the space pre builder. More...

SpaceHelper< concepts::Real, SpacePreBuilder > &	spc () const
	Returns pointer to space helper class. More...

virtual bool	trunk (uint p, uint q, const ushort P[2]) const
	Trunk space indicator function. More...

virtual	~BuildL2InnerTColumns ()

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const

Protected Attributes
SpaceHelper< concepts::Real, SpacePreBuilder > *	spc_
	Space to build the degrees of freedom from. More...

Detailed Description

template<class F = concepts::Real>
class hp2D::BuildL2InnerTColumns< F >

Responsible to build the T columns belonging to inner degrees of freedom in a L2 conforming space with shape functions in tensor product structure.

A call to the application operator builds the T columns for a given 'member of space' quad. The appropiate polynomial degree are given by a space pre builder class, which is part of a space helper class.

If you want to change the way this is done, derive from this class and overwrite the application operator.

Trunk Polynomial Spaces: Using this class, all degrees of freedom of the face are built (full tensor product space). It is very simply to change this behaviour in a derived class as the truncation function for the degrees of freedom is separated into trunk(). BuildInnerDofsLinTrunk is an example for a truncated local polynomial space (it is the default for building internal degrees of freedom in hpAdaptiveSpaceL2).

BuildInnerDofsHypTrunk is another example. The plot below compares the relative energy error versus degrees of freedom for three different internal degrees of freedom polynomial spaces. The plot was done with the hpFEM2d tutorial program by exchanging the strategy for the internal degrees of freedom right after creating the Space. The result at an error of 1.7e-6 needs the following number of degrees of freedom:

Space	Degrees of Freedom	Relative Energy Error
Full tensor product	4955	1.76e-6
Linear trunk	2570	1.77e-6
Hyperbolic trunk	1841	1.79e-6

Different polynomial
spaces for internal degrees of freedom: relative energy error vs. ndofs

Author: Kersten Schmidt, 2016

Definition at line 58 of file buildL2TColumns.hh.

Member Typedef Documentation

◆ SpaceHelper

template<class F = concepts::Real>

typedef concepts::SpaceHelper<F, SpacePreBuilder> hp2D::BuildL2InnerTColumns< F >::SpaceHelper

Definition at line 60 of file buildL2TColumns.hh.

Constructor & Destructor Documentation

◆ BuildL2InnerTColumns() [1/2]

template<class F = concepts::Real>

hp2D::BuildL2InnerTColumns< F >::BuildL2InnerTColumns ( )

inline

Default constructor.

Definition at line 62 of file buildL2TColumns.hh.

◆ BuildL2InnerTColumns() [2/2]

template<class F = concepts::Real>

hp2D::BuildL2InnerTColumns< F >::BuildL2InnerTColumns ( SpaceHelper & spc )

inline

Constructor.

Parameters

spc	Space Helper with Space Pre Builder (mesh and distribution of degrees of freedom), boundary condition and the running index

Definition at line 69 of file buildL2TColumns.hh.

◆ ~BuildL2InnerTColumns()

template<class F = concepts::Real>

virtual hp2D::BuildL2InnerTColumns< F >::~BuildL2InnerTColumns ( )

inlinevirtual

Definition at line 71 of file buildL2TColumns.hh.

Member Function Documentation

◆ clone() [1/3]

template<class F = concepts::Real>

virtual BuildL2InnerTColumns<F>* hp2D::BuildL2InnerTColumns< F >::clone ( SpaceHelper * spc = 0 ) const

virtual

◆ clone() [2/3]

virtual BuildTColumnsBase<concepts::Real >* hp2D::BuildTColumnsBase< concepts::Real >::clone ( SpaceHelper * spc = 0 ) const

pure virtualinherited

Implemented in hp2D::BuildL2InnerTColumns< concepts::Real >, and hp2D::BuildH1InnerTColumns< concepts::Real >.

◆ clone() [3/3]

virtual BuildTColumnsBase<concepts::Real ,SpacePreBuilder >* concepts::BuildTColumnsBase< concepts::Real , SpacePreBuilder >::clone ( SpaceHelper< F, G > * spc = 0 ) const

pure virtualinherited

Virtual copy constructor with a twist.

If a copy of a space helper is created, the strategies to build the degrees of freedom of the copy should also reference the copy and not the initial space helper. This is done by giving the argument spc to clone.

Parameters

spc	Space helper class to work on for the return value. If set to 0, `spc_` is used.

◆ info()

template<class F = concepts::Real>

virtual std::ostream& hp2D::BuildL2InnerTColumns< F >::info ( std::ostream & os ) const

protectedvirtual

Reimplemented from concepts::BuildTColumnsBase< concepts::Real, SpacePreBuilder >.

Reimplemented in hp2D::BuildL2InnerTColumnsHypTrunk< F >, and hp2D::BuildL2InnerTColumnsLinTrunk< F >.

◆ operator()() [1/2]

virtual void hp2D::BuildTColumnsBase< concepts::Real >::operator()	(	const concepts::Connector2 &	cntr,
		concepts::TColumn< F > *&	T1
	)		const

pure virtualinherited

Builds the degrees of freedom for a quad.

Parameters

cntr	Quad which dofs should be considered
T1	New T columns created for the degrees of freedom

Implemented in hp2D::BuildL2InnerTColumns< concepts::Real >, and hp2D::BuildH1InnerTColumns< concepts::Real >.

◆ operator()() [2/2]

template<class F = concepts::Real>

virtual void hp2D::BuildL2InnerTColumns< F >::operator()	(	const concepts::Connector2 &	cntr,
		concepts::TColumn< F > *&	T1
	)		const

virtual

Builds the degrees of freedom.

Parameters

cntr	Quad which dofs should be considered
T1	New T columns created for the degrees of freedom

◆ prebuild()

SpacePreBuilder & concepts::BuildTColumnsBase< concepts::Real , SpacePreBuilder >::prebuild

inlineinherited

Returns the space pre builder.

Definition at line 258 of file spacePreBuilder.hh.

◆ spc()

SpaceHelper< concepts::Real , SpacePreBuilder > & concepts::BuildTColumnsBase< concepts::Real , SpacePreBuilder >::spc

inlineinherited

Returns pointer to space helper class.

Definition at line 256 of file spacePreBuilder.hh.

◆ trunk()

template<class F = concepts::Real>

virtual bool hp2D::BuildL2InnerTColumns< F >::trunk	(	uint	p,
		uint	q,
		const ushort	P[2]
	)		const

virtual

Trunk space indicator function.

For each degree of freedom, this function is called to find out if it should be built or not. If the return value is true, the degree of freedom is built, otherwise it is not.

The default behaviour of this function is to return true. Overwrite it if you want to have a trunk space (e.g. as in BuildInnerDofsLinTrunk).

Parameters

p	Polynomial degree in first direction of current degree of freedom
q	Polynomial degree in second direction of current degree of freedom
P	Maximal polynomial degree in the interior

Reimplemented in hp2D::BuildL2InnerTColumnsHypTrunk< F >, and hp2D::BuildL2InnerTColumnsLinTrunk< F >.

Member Data Documentation

◆ spc_

SpaceHelper<concepts::Real ,SpacePreBuilder >* concepts::BuildTColumnsBase< concepts::Real , SpacePreBuilder >::spc_

protectedinherited

Space to build the degrees of freedom from.

Definition at line 273 of file spacePreBuilder.hh.

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

hp2D/buildL2TColumns.hh

hp2D::BuildL2InnerTColumns< F > Class Template Referenceabstract

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

template<class F = concepts::Real> class hp2D::BuildL2InnerTColumns< F >

Member Typedef Documentation

◆ SpaceHelper

Constructor & Destructor Documentation

◆ BuildL2InnerTColumns() [1/2]

◆ BuildL2InnerTColumns() [2/2]

◆ ~BuildL2InnerTColumns()

Member Function Documentation

◆ clone() [1/3]

◆ clone() [2/3]

◆ clone() [3/3]

◆ info()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ prebuild()

◆ spc()

◆ trunk()

Member Data Documentation

◆ spc_

template<class F = concepts::Real>
class hp2D::BuildL2InnerTColumns< F >