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hp2D::BuildH1InnerTColumns< F > Class Template Reference

Responsible to build the T columns belonging to inner degrees of freedom in a H1 conforming space with shape functions in tensor product structure. More...

#include <buildH1TColumns.hh>

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List of all members.

Public Types

typedef concepts::SpaceHelper
< F, SpacePreBuilder
SpaceHelper

Public Member Functions

 BuildH1InnerTColumns ()
 Default constructor.
 BuildH1InnerTColumns (SpaceHelper &spc)
 Constructor.
virtual BuildH1InnerTColumns< F > * clone (SpaceHelper *spc=0) const
virtual BuildTColumnsBase< F,
SpacePreBuilder > * 
clone (SpaceHelper< F, SpacePreBuilder > *spc=0) const =0
 Virtual copy constructor with a twist.
virtual void operator() (const concepts::Connector2 &cntr, concepts::TColumn< F > *&T1) const
 Builds the degrees of freedom.
SpacePreBuilderprebuild () const
 Returns the space pre builder.
SpaceHelper< F, SpacePreBuilder > & spc () const
 Returns pointer to space helper class.
virtual bool trunk (uint p, uint q, const ushort P[2]) const
 Trunk space indicator function.
virtual ~BuildH1InnerTColumns ()

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::BuildH1InnerTColumns< F >

Responsible to build the T columns belonging to inner degrees of freedom in a H1 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 hpAdaptiveSpaceH1).
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:
SpaceDegrees of Freedom Relative Energy Error
Full tensor product49551.76e-6
Linear trunk25701.77e-6
Hyperbolic trunk18411.79e-6
hp2D-trunk.png
Author:
Philipp Frauenfelder, 2004

Definition at line 150 of file buildH1TColumns.hh.


Member Typedef Documentation

template<class F = concepts::Real>
typedef concepts::SpaceHelper<F, SpacePreBuilder> hp2D::BuildH1InnerTColumns< F >::SpaceHelper

Constructor & Destructor Documentation

template<class F = concepts::Real>
hp2D::BuildH1InnerTColumns< F >::BuildH1InnerTColumns ( ) [inline]

Default constructor.

Definition at line 154 of file buildH1TColumns.hh.

template<class F = concepts::Real>
hp2D::BuildH1InnerTColumns< F >::BuildH1InnerTColumns ( SpaceHelper spc) [inline]

Constructor.

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

Definition at line 161 of file buildH1TColumns.hh.

template<class F = concepts::Real>
virtual hp2D::BuildH1InnerTColumns< F >::~BuildH1InnerTColumns ( ) [inline, virtual]

Definition at line 163 of file buildH1TColumns.hh.


Member Function Documentation

template<class F = concepts::Real>
virtual BuildH1InnerTColumns<F>* hp2D::BuildH1InnerTColumns< F >::clone ( SpaceHelper spc = 0) const [virtual]
virtual BuildTColumnsBase<F,SpacePreBuilder >* concepts::BuildTColumnsBase< F, SpacePreBuilder >::clone ( SpaceHelper< F, SpacePreBuilder > *  spc = 0) const [pure virtual, inherited]

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:
spcSpace helper class to work on for the return value. If set to 0, spc_ is used.
template<class F = concepts::Real>
virtual std::ostream& hp2D::BuildH1InnerTColumns< F >::info ( std::ostream &  os) const [protected, virtual]

Returns information in an output stream.

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

Reimplemented in hp2D::BuildH1InnerTColumnsLinTrunk< F >, and hp2D::BuildH1InnerTColumnsHypTrunk< F >.

template<class F = concepts::Real>
virtual void hp2D::BuildH1InnerTColumns< F >::operator() ( const concepts::Connector2 cntr,
concepts::TColumn< F > *&  T1 
) const [virtual]

Builds the degrees of freedom.

Parameters:
cntrQuad which dofs should be considered
T1New T columns created for the degrees of freedom

Implements hp2D::BuildTColumnsBase< F >.

SpacePreBuilder & concepts::BuildTColumnsBase< F, SpacePreBuilder >::prebuild ( ) const [inline, inherited]

Returns the space pre builder.

SpaceHelper<F,SpacePreBuilder >& concepts::BuildTColumnsBase< F, SpacePreBuilder >::spc ( ) const [inline, inherited]

Returns pointer to space helper class.

template<class F = concepts::Real>
virtual bool hp2D::BuildH1InnerTColumns< 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:
pPolynomial degree in first direction of current degree of freedom
qPolynomial degree in second direction of current degree of freedom
PMaximal polynomial degree in the interior

Reimplemented in hp2D::BuildH1InnerTColumnsLinTrunk< F >, and hp2D::BuildH1InnerTColumnsHypTrunk< F >.


Member Data Documentation

Space to build the degrees of freedom from.

Definition at line 266 of file spacePreBuilder.hh.


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

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