Class documentation of Concepts

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#include <buildInnerDofs.hh>

Inheritance diagram for hp2D::BuildInnerDofs:
hp2D::BuildDofsBase hp2D::BuildInnerDofsHypTrunk hp2D::BuildInnerDofsLinTrunk

Public Member Functions

 BuildInnerDofs ()
 Default constructor.
 
 BuildInnerDofs (Space &spc)
 
virtual void operator() (concepts::Quad &cntr, concepts::TColumn< Real > *&T1, const uint nn[2])
 
virtual BuildInnerDofsclone (Space *spc=0) const
 
virtual bool trunk (uint p, uint q, const ushort P[2])
 
Spacespace ()
 Returns the space.
 

Protected Member Functions

concepts::AdaptiveControlctrl0_ (uint idx)
 Returns vertex tag of vertex with key idx.
 
concepts::AdaptiveControlP< 1 > & ctrl1_ (uint idx)
 Returns edge tag of edge with key idx.
 
concepts::AdaptiveControlP< 2 > & ctrl2_ (uint idx)
 Returns face tag of face with key idx.
 
std::map< uint, concepts::VertexData >::const_iterator vertexListFind (uint idx) const
 Returns the iterator to the vertex data of the vertex with key idx.
 
std::map< uint, concepts::VertexData >::const_iterator vertexListEnd () const
 Returns the end of the list with vertex data.
 
std::map< uint, concepts::EdgeData >::const_iterator edgeListFind (uint idx) const
 Returns the iterator to the edge data of the edge with key idx.
 
std::map< uint, concepts::EdgeData >::const_iterator edgeListEnd () const
 Returns the end of the list with edge data.
 
uint & dim_ ()
 Returns a reference to the dimension of the space.
 
void deactivate_ (const concepts::Vertex &vtx)
 Deactivates the children of the vertex vtx.
 
void deactivate_ (const concepts::Edge &edg)
 
void computePmax_ (const concepts::Quad &cntr, ushort Pmax[2]) const
 Computes maximal polynomial Pmax degree in cntr in tensor form.
 

Protected Attributes

Spacespc_
 Space to build the vertex degrees of freedom from.
 

Detailed Description

Responsible to build the inner degrees of freedom in a space. A call to the application operator builds the T columns for the inner modes of a given quad.

If you want to change the way this is done, derive from this class and overwrite the application operator. The access to the internal data of the space (which is needed) is provided through the protected member functions of BuildDofsBase (it is a friend of Space).

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).
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

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

Author
Philipp Frauenfelder, 2004

Definition at line 57 of file buildInnerDofs.hh.

Constructor & Destructor Documentation

◆ BuildInnerDofs() [1/2]

hp2D::BuildInnerDofs::BuildInnerDofs ( )
inline

Default constructor.

Definition at line 60 of file buildInnerDofs.hh.

◆ BuildInnerDofs() [2/2]

hp2D::BuildInnerDofs::BuildInnerDofs ( Space spc)
inline

Constructor.

Parameters
spcSpace to build the inner degrees of freedom from

Definition at line 64 of file buildInnerDofs.hh.

Member Function Documentation

◆ clone()

virtual BuildInnerDofs * hp2D::BuildInnerDofs::clone ( Space spc = 0) const
virtual

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

Parameters
spcSpace to work on for the return value. If set to 0, spc_ is used.

Implements hp2D::BuildDofsBase.

Reimplemented in hp2D::BuildInnerDofsLinTrunk, and hp2D::BuildInnerDofsHypTrunk.

◆ computePmax_()

void hp2D::BuildDofsBase::computePmax_ ( const concepts::Quad cntr,
ushort  Pmax[2] 
) const
inlineprotectedinherited

Computes maximal polynomial Pmax degree in cntr in tensor form.

Definition at line 142 of file buildDofsBase.hh.

◆ ctrl0_()

concepts::AdaptiveControl & hp2D::BuildDofsBase::ctrl0_ ( uint  idx)
inlineprotectedinherited

Returns vertex tag of vertex with key idx.

Definition at line 93 of file buildDofsBase.hh.

◆ ctrl1_()

concepts::AdaptiveControlP< 1 > & hp2D::BuildDofsBase::ctrl1_ ( uint  idx)
inlineprotectedinherited

Returns edge tag of edge with key idx.

Definition at line 98 of file buildDofsBase.hh.

◆ ctrl2_()

concepts::AdaptiveControlP< 2 > & hp2D::BuildDofsBase::ctrl2_ ( uint  idx)
inlineprotectedinherited

Returns face tag of face with key idx.

Definition at line 103 of file buildDofsBase.hh.

◆ deactivate_() [1/2]

void hp2D::BuildDofsBase::deactivate_ ( const concepts::Edge edg)
inlineprotectedinherited

Deactivates the children of the edge edg (including the middle vertex).

Definition at line 137 of file buildDofsBase.hh.

◆ deactivate_() [2/2]

void hp2D::BuildDofsBase::deactivate_ ( const concepts::Vertex vtx)
inlineprotectedinherited

Deactivates the children of the vertex vtx.

Definition at line 132 of file buildDofsBase.hh.

◆ dim_()

uint & hp2D::BuildDofsBase::dim_ ( )
inlineprotectedinherited

Returns a reference to the dimension of the space.

Definition at line 81 of file buildDofsBase.hh.

◆ edgeListEnd()

std::map< uint, concepts::EdgeData >::const_iterator hp2D::BuildDofsBase::edgeListEnd ( ) const
inlineprotectedinherited

Returns the end of the list with edge data.

Definition at line 127 of file buildDofsBase.hh.

◆ edgeListFind()

std::map< uint, concepts::EdgeData >::const_iterator hp2D::BuildDofsBase::edgeListFind ( uint  idx) const
inlineprotectedinherited

Returns the iterator to the edge data of the edge with key idx.

Definition at line 121 of file buildDofsBase.hh.

◆ operator()()

virtual void hp2D::BuildInnerDofs::operator() ( concepts::Quad cntr,
concepts::TColumn< Real > *&  T1,
const uint  nn[2] 
)
virtual

Builds the degrees of freedom.

Parameters
cntrHex which vertices should be considered
T1New T columns created for the degrees of freedom in the vertices

Implements hp2D::BuildDofsBase.

◆ space()

Space * hp2D::BuildDofsBase::space ( )
inlineinherited

Returns the space.

Definition at line 60 of file buildDofsBase.hh.

◆ trunk()

virtual bool hp2D::BuildInnerDofs::trunk ( uint  p,
uint  q,
const ushort  P[2] 
)
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::BuildInnerDofsLinTrunk, and hp2D::BuildInnerDofsHypTrunk.

◆ vertexListEnd()

std::map< uint, concepts::VertexData >::const_iterator hp2D::BuildDofsBase::vertexListEnd ( ) const
inlineprotectedinherited

Returns the end of the list with vertex data.

Definition at line 115 of file buildDofsBase.hh.

◆ vertexListFind()

std::map< uint, concepts::VertexData >::const_iterator hp2D::BuildDofsBase::vertexListFind ( uint  idx) const
inlineprotectedinherited

Returns the iterator to the vertex data of the vertex with key idx.

Definition at line 109 of file buildDofsBase.hh.

Member Data Documentation

◆ spc_

Space* hp2D::BuildDofsBase::spc_
protectedinherited

Space to build the vertex degrees of freedom from.

Definition at line 90 of file buildDofsBase.hh.


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