hp2D::BuildL2InnerTColumns< F > Class Template Reference

#include <buildL2TColumns.hh>

Inheritance diagram for hp2D::BuildL2InnerTColumns< F >:

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

Public Member Functions
	BuildL2InnerTColumns ()
	Default constructor.
	BuildL2InnerTColumns (SpaceHelper &spc)
virtual void	operator() (const concepts::Connector2 &cntr, concepts::TColumn< F > *&T1) const
virtual BuildL2InnerTColumns< F > *	clone (SpaceHelper *spc=0) const
virtual bool	trunk (uint p, uint q, const ushort P[2]) const
virtual BuildTColumnsBase< F, SpacePreBuilder > *	clone (SpaceHelper< F, SpacePreBuilder > *spc=0) const=0
SpaceHelper< F, SpacePreBuilder > &	spc () const
	Returns pointer to space helper class.
SpacePreBuilder &	prebuild () const
	Returns the space pre builder.

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Protected Attributes
SpaceHelper< F, SpacePreBuilder > *	spc_
	Space to build the degrees of freedom from.

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

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() [1/2]

template<class F = concepts::Real>

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

virtual

Implements hp2D::BuildTColumnsBase< F >.

clone() [2/2]

virtual BuildTColumnsBase< F, SpacePreBuilder > * concepts::BuildTColumnsBase< F, SpacePreBuilder >::clone ( SpaceHelper< F, SpacePreBuilder > *  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

Returns information in an output stream.

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

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

operator()()

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

Implements hp2D::BuildTColumnsBase< F >.

prebuild()

SpacePreBuilder & concepts::BuildTColumnsBase< F, SpacePreBuilder >::prebuild ( ) const

inlineinherited

Returns the space pre builder.

Definition at line 257 of file spacePreBuilder.hh.

spc()

SpaceHelper< F, SpacePreBuilder > & concepts::BuildTColumnsBase< F, SpacePreBuilder >::spc ( ) const

inlineinherited

Returns pointer to space helper class.

Definition at line 255 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::BuildL2InnerTColumnsLinTrunk< F >, and hp2D::BuildL2InnerTColumnsHypTrunk< F >.

Member Data Documentation

spc_

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

protectedinherited

Space to build the degrees of freedom from.

Definition at line 272 of file spacePreBuilder.hh.

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

• hp2D/buildL2TColumns.hh