hp-adaptive space with 2D elements. More...

#include <hpAdaptiveSpace.hh>

Inheritance diagram for hp2D::hpAdaptiveSpace< F >:

Public Types
typedef concepts::Scan< hp2D::Element< F > >	Scan

typedef Scan< ElementWithCell< F > >	Scanner

typedef F	t_type

typedef ElementWithCell< F >	type

Public Member Functions
virtual void	adjust (const concepts::Element< F > &elm, const concepts::AdaptiveAdjustP< 2 > &a)
	Adjusts the space in the next rebuild step for this element. More...

const std::set< concepts::Cell2 * >	allCells () const

virtual const std::set< typename CellType< dimC >::cell * >	allCells () const=0

std::pair< bool, uint >	available () const
	Returns 0 if the space has to be rebuilt with rebuild(), otherwise the number of the build. More...

uint	dim ()

virtual uint	dim () const
	Returns the dimension of the space. More...

virtual uint	getOutputDimension () const
	Returns the default output dimension, when we consider plotting a real-valued operator on this space. More...

concepts::SubspaceHelper< F, SpacePreBuilder > &	helper ()

const concepts::SubspaceHelper< F, SpacePreBuilder > &	helper () const

	hpAdaptiveSpace (concepts::Mesh2 &msh, uint l, uint p, concepts::BoundaryConditions bc=0, concepts::CellConditions cc=0)
	Constructor. More...

	hpAdaptiveSpace (const hpAdaptiveSpace &spc)
	Copy constructor. More...

	hpAdaptiveSpace (hpFull &prebuild, concepts::BoundaryConditions bc=0, concepts::CellConditions cc=0, uint spcNo=0, uint offset=0, uint idx=0)
	Constructor for using same mesh and distribution of degrees of freedom object as another space. More...

virtual uint &	lastIdx ()
	Returns last global index of the space. More...

virtual const uint &	lastIdx () const

uint	nelm ()

virtual uint	nelm () const
	Returns the number of elements in the space. More...

virtual uint	offset () const
	Returns the offset. More...

hpFull &	prebuild ()

hpFull &	prebuild () const

void	rebuild (bool sameIndices=false)
	Rebuilds the mesh and the elements due to adjustment orders. More...

virtual void	recomputeShapefunctions ()=0
	Recompute shape functions, e.g. More...

Scan *	scan ()

virtual Scan *	scan () const
	Returns a scanner to iterate over the elements of the space. More...

void	set_bc (const concepts::BoundaryConditions *bc)
	Reset boundary conditions to `bc` More...

virtual	~hpAdaptiveSpace ()

Protected Member Functions
virtual concepts::TColumn< F > *	applySmatrices_ (const concepts::Element< F > &elm, uint i, const concepts::TColumn< F > T0, const concepts::TColumn< F > T1)=0
	Apply `i` -th S matrix to T-Columns `T0` and `T1` of `cell`, where `i` is the number of child of `cell`. More...

virtual std::ostream &	info (std::ostream &os) const

virtual Element< F > *	newElement_ (concepts::Cell2 &cell, ushort pMax, concepts::TColumn< F > T0, concepts::TColumn< F > *T1) const =0
	Creates and returns an element for `cell`. More...

Protected Attributes
uint	idxEdge_

uint	idxInner_

uint	idxVtx_
	Number of indices on entities, just for statistics. More...

uint	nelm_
	Number of elements currently active in the mesh. More...

uint	offset_
	Initially given offset, holden for control, if in there are changes in the previous subspace. More...

hpFull *const	prebuild_
	Mesh and degrees of freedoms. More...

concepts::SubspaceHelper< F, SpacePreBuilder >	spc_
	Helper class for building elements with space pre builder, boundary conditions and index. More...

bool	zeroDim_
	Control, if dimension at last build is zero. More...

Strategies to Build the Degrees of Freedom
bool	ownPrebuild_
	If prebuild object is created here and not given. More...

uint	dofBuild_
	Number of the build of prebuild_ at last call of rebuild() More...

uint	build_
	Number of the build. More...

concepts::Joiner< Element< F > , 1 >	elm_
	Linked list of the elements. More...

std::unique_ptr< const BuildTColumnsBase< F > >	buildVertexDofs_
	Strategy to build the vertex degrees of freedom. More...

std::unique_ptr< const BuildTColumnsBase< F > >	buildEdgeDofs_
	Strategy to build the edge degrees of freedom. More...

std::unique_ptr< const BuildTColumnsBase< F > >	buildInnerDofs_
	Strategy to build the inner degrees of freedom. More...

bool	notAvailable_
	Flag indicating some reasons the space is not available. More...

void	setBuildVertexDofs_ (const BuildTColumnsBase< F > *b)
	Change the strategy how the degrees of freedom for the vertices are built. More...

void	setBuildEdgeDofs_ (const BuildTColumnsBase< F > *b)
	Change the strategy how the degrees of freedom for the edge are built. More...

void	setBuildInnerDofs_ (const BuildTColumnsBase< F > *b)
	Change the strategy how the degrees of freedom for the interior are built. More...

void	buildElements_ (concepts::Cell2 &cell, ushort Pmax, concepts::TColumn< F > T0=0)
	If prebuild object is created here and not given. More...

template<class G >
void	setVtxPassive_ (G &cntr, bool forChildren=false, bool always=false)
	Set vertices passive. More...

void	setEdgePassive_ (const concepts::Connector1 &cntr)
	Set this edge and all children edges passive. More...

Detailed Description

template<class F>
class hp2D::hpAdaptiveSpace< F >

hp-adaptive space with 2D elements.

Author: Kersten Schmidt, 2005

Definition at line 33 of file hpAdaptiveSpace.hh.

Member Typedef Documentation

◆ Scan

template<class F >

typedef concepts::Scan<hp2D::Element<F> > hp2D::hpAdaptiveSpace< F >::Scan

Definition at line 38 of file hpAdaptiveSpace.hh.

◆ Scanner

template<class F >

typedef Scan<ElementWithCell<F> > concepts::SpaceOnCells< F >::Scanner

inherited

Definition at line 84 of file space.hh.

◆ t_type

template<class F >

typedef F hp2D::hpAdaptiveSpace< F >::t_type

Definition at line 39 of file hpAdaptiveSpace.hh.

◆ type

template<class F >

typedef ElementWithCell<F> concepts::SpaceOnCells< F >::type

inherited

Definition at line 83 of file space.hh.

Constructor & Destructor Documentation

◆ hpAdaptiveSpace() [1/3]

template<class F >

hp2D::hpAdaptiveSpace< F >::hpAdaptiveSpace	(	concepts::Mesh2 &	msh,
		uint	l,
		uint	p,
		concepts::BoundaryConditions *	bc = `0`,
		concepts::CellConditions *	cc = `0`
	)

Constructor.

Scans the mesh and sets the cells in the mesh active and the level of refinement and the polynomial degree in all cells to the given values. rebuild_ is set to true, ie. if the mesh is used it will firstly be rebuilt.

Parameters

msh	The domain of interest partitioned into a mesh.
l	Level of refinement
p	Degree of the polynomials to be used.
bc	Boundary conditions
cc	Cell conditionss

◆ hpAdaptiveSpace() [2/3]

template<class F >

hp2D::hpAdaptiveSpace< F >::hpAdaptiveSpace	(	hpFull &	prebuild,
		concepts::BoundaryConditions *	bc = `0`,
		concepts::CellConditions *	cc = `0`,
		uint	spcNo = `0`,
		uint *	offset = `0`,
		uint *	idx = `0`
	)

Constructor for using same mesh and distribution of degrees of freedom object as another space.

The global indices are sorted by the topological entities, on which the degrees of freedoms lie. Spaces could have no common entities, e.g. first space has Dirichlet boundary and this has only dof on the boundary. If they have common entities, like in mixed problems, the global indices per topological entity can be uniquely given by spcNo.

Parameters

prebuild	space pre builder
bc	Boundary conditions
cc	Cell conditions
spcNo	Number to distinguish between global indices on same topological entity.
offset	Last index of previous space.
idx	pointer to index, when wanting a common index. If non zero you should set the parameter "all" in the bilinear form to true.

◆ hpAdaptiveSpace() [3/3]

template<class F >

hp2D::hpAdaptiveSpace< F >::hpAdaptiveSpace ( const hpAdaptiveSpace< F > & spc )

Copy constructor.

Copies mesh, boundary conditions and ctrl2_ (information about refinements and polynomial degrees of the elements).

◆ ~hpAdaptiveSpace()

template<class F >

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

virtual

Member Function Documentation

◆ adjust()

template<class F >

virtual void hp2D::hpAdaptiveSpace< F >::adjust	(	const concepts::Element< F > &	elm,
		const concepts::AdaptiveAdjustP< 2 > &	a
	)

virtual

Adjusts the space in the next rebuild step for this element.

Implements concepts::AdaptiveSpace< F, concepts::AdaptiveAdjustP< 2 > >.

◆ allCells() [1/2]

template<class F >

const std::set<concepts::Cell2* > hp2D::hpAdaptiveSpace< F >::allCells ( ) const

inline

Definition at line 126 of file hpAdaptiveSpace.hh.

◆ allCells() [2/2]

virtual const std::set<typename CellType<dimC>::cell * > concepts::SpaceOnCoarseCells< dimC, F >::allCells

pure virtualinherited

◆ applySmatrices_()

template<class F >

virtual concepts::TColumn<F>* hp2D::hpAdaptiveSpace< F >::applySmatrices_	(	const concepts::Element< F > &	elm,
		uint	i,
		const concepts::TColumn< F > *	T0,
		const concepts::TColumn< F > *	T1
	)

protectedpure virtual

Apply i -th S matrix to T-Columns T0 and T1 of cell, where i is the number of child of cell.

Returns resulting T-Columns.

Implemented in hp2D::hpAdaptiveSpaceHCurl, hp2D::hpAdaptiveSpaceL2, and hp2D::hpAdaptiveSpaceH1.

◆ available()

template<class F >

std::pair<bool, uint> hp2D::hpAdaptiveSpace< F >::available ( ) const

Returns 0 if the space has to be rebuilt with rebuild(), otherwise the number of the build.

This number helps in the decision of availability.

◆ buildElements_()

template<class F >

void hp2D::hpAdaptiveSpace< F >::buildElements_	(	concepts::Cell2 &	cell,
		ushort *	Pmax,
		concepts::TColumn< F > *	T0 = `0`
	)

private

If prebuild object is created here and not given.

◆ dim() [1/2]

template<class F >

uint hp2D::hpAdaptiveSpace< F >::dim

inline

Definition at line 270 of file hpAdaptiveSpace.hh.

◆ dim() [2/2]

template<class F >

uint hp2D::hpAdaptiveSpace< F >::dim ( ) const

inlinevirtual

Returns the dimension of the space.

Implements concepts::SpaceOnCells< F >.

Definition at line 249 of file hpAdaptiveSpace.hh.

◆ getOutputDimension()

template<class F >

virtual uint concepts::Space< F >::getOutputDimension ( ) const

inlinevirtualinherited

Returns the default output dimension, when we consider plotting a real-valued operator on this space.

Definition at line 50 of file space.hh.

◆ helper() [1/2]

template<class F >

concepts::SubspaceHelper<F, SpacePreBuilder>& hp2D::hpAdaptiveSpace< F >::helper ( )

inline

Definition at line 91 of file hpAdaptiveSpace.hh.

◆ helper() [2/2]

template<class F >

const concepts::SubspaceHelper<F, SpacePreBuilder>& hp2D::hpAdaptiveSpace< F >::helper ( ) const

inline

Definition at line 89 of file hpAdaptiveSpace.hh.

◆ info()

template<class F >

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

protectedvirtual

Reimplemented from concepts::SpaceOnCoarseCells< 2, F >.

Reimplemented in hp2D::hpAdaptiveSpaceHCurl, hp2D::hpAdaptiveSpaceL2, and hp2D::hpAdaptiveSpaceH1.

◆ lastIdx() [1/2]

template<class F >

virtual uint& hp2D::hpAdaptiveSpace< F >::lastIdx ( )

inlinevirtual

Returns last global index of the space.

Implements concepts::Subspace.

Definition at line 92 of file hpAdaptiveSpace.hh.

◆ lastIdx() [2/2]

template<class F >

virtual const uint& hp2D::hpAdaptiveSpace< F >::lastIdx ( ) const

inlinevirtual

Definition at line 93 of file hpAdaptiveSpace.hh.

◆ nelm() [1/2]

template<class F >

uint hp2D::hpAdaptiveSpace< F >::nelm

inline

Definition at line 276 of file hpAdaptiveSpace.hh.

◆ nelm() [2/2]

template<class F >

uint hp2D::hpAdaptiveSpace< F >::nelm ( ) const

inlinevirtual

Returns the number of elements in the space.

Implements concepts::SpaceOnCells< F >.

Definition at line 256 of file hpAdaptiveSpace.hh.

◆ newElement_()

template<class F >

virtual Element<F>* hp2D::hpAdaptiveSpace< F >::newElement_	(	concepts::Cell2 &	cell,
		ushort *	pMax,
		concepts::TColumn< F > *	T0,
		concepts::TColumn< F > *	T1
	)		const

protectedpure virtual

Creates and returns an element for cell.

Has to be implemented in the derived classes.

Implemented in hp2D::hpAdaptiveSpaceHCurl, hp2D::hpAdaptiveSpaceL2, and hp2D::hpAdaptiveSpaceH1.

◆ offset()

template<class F >

virtual uint hp2D::hpAdaptiveSpace< F >::offset ( ) const

inlinevirtual

Returns the offset.

Implements concepts::Subspace.

Definition at line 94 of file hpAdaptiveSpace.hh.

◆ prebuild() [1/2]

template<class F >

hpFull& hp2D::hpAdaptiveSpace< F >::prebuild ( )

inline

Definition at line 86 of file hpAdaptiveSpace.hh.

◆ prebuild() [2/2]

template<class F >

hpFull& hp2D::hpAdaptiveSpace< F >::prebuild ( ) const

inline

Definition at line 87 of file hpAdaptiveSpace.hh.

◆ rebuild()

template<class F >

void hp2D::hpAdaptiveSpace< F >::rebuild ( bool sameIndices = false )

Rebuilds the mesh and the elements due to adjustment orders.

Parameters

sameIndices If true, the already existing indices (stored in the space pre builder) won't be cleared. That is useful for domain decomposition for example.

◆ recomputeShapefunctions()

template<class F >

virtual void hp2D::hpAdaptiveSpace< F >::recomputeShapefunctions ( )

pure virtual

Recompute shape functions, e.g.

for other abscissas redefined through setIntegrationRule

Implemented in hp2D::hpAdaptiveSpaceHCurl, hp2D::hpAdaptiveSpaceL2, and hp2D::hpAdaptiveSpaceH1.

◆ scan() [1/2]

template<class F >

hpAdaptiveSpace< F >::Scan * hp2D::hpAdaptiveSpace< F >::scan

inline

Definition at line 282 of file hpAdaptiveSpace.hh.

◆ scan() [2/2]

template<class F >

hpAdaptiveSpace< F >::Scan * hp2D::hpAdaptiveSpace< F >::scan ( ) const

inlinevirtual

Returns a scanner to iterate over the elements of the space.

Implements concepts::SpaceOnCells< F >.

Definition at line 263 of file hpAdaptiveSpace.hh.

◆ set_bc()

template<class F >

void hp2D::hpAdaptiveSpace< F >::set_bc ( const concepts::BoundaryConditions * bc )

inline

Reset boundary conditions to bc

Definition at line 122 of file hpAdaptiveSpace.hh.

◆ setBuildEdgeDofs_()

template<class F >

void hp2D::hpAdaptiveSpace< F >::setBuildEdgeDofs_ ( const BuildTColumnsBase< F > * b )

protected

Change the strategy how the degrees of freedom for the edge are built.

The default strategy is BuildEdgeDofs. You can change this strategy any time you chose.

buildEdgeDofs_ is reset with a clone of b.

Parameters

b	New strategy

◆ setBuildInnerDofs_()

template<class F >

void hp2D::hpAdaptiveSpace< F >::setBuildInnerDofs_ ( const BuildTColumnsBase< F > * b )

protected

Change the strategy how the degrees of freedom for the interior are built.

The default strategy is BuildInnerDofsLinTrunk. You can change this strategy any time you chose.

buildInnerDofs_ is reset with a clone of b.

Parameters

b	New strategy

◆ setBuildVertexDofs_()

template<class F >

void hp2D::hpAdaptiveSpace< F >::setBuildVertexDofs_ ( const BuildTColumnsBase< F > * b )

protected

Change the strategy how the degrees of freedom for the vertices are built.

The default strategy is BuildVertexDofs. You can change this strategy any time you chose.

buildVertexDofs_ is reset with a clone of b.

Parameters

b	New strategy

◆ setEdgePassive_()

template<class F >

void hp2D::hpAdaptiveSpace< F >::setEdgePassive_ ( const concepts::Connector1 & cntr )

private

Set this edge and all children edges passive.

◆ setVtxPassive_()

template<class F >

template<class G >

void hp2D::hpAdaptiveSpace< F >::setVtxPassive_	(	G &	cntr,
		bool	forChildren = `false`,
		bool	always = `false`
	)

private

Set vertices passive.

For dirichlet vertices of a cell. (always = false, forChildren = false)
For vertices of a dirichlet edge, also inside edge. (always = false, forChildren = true)
All vertices of cells. (always = true, forChildren = false)

Member Data Documentation

◆ build_

template<class F >

uint hp2D::hpAdaptiveSpace< F >::build_

private

Number of the build.

Definition at line 212 of file hpAdaptiveSpace.hh.

◆ buildEdgeDofs_

template<class F >

std::unique_ptr<const BuildTColumnsBase<F> > hp2D::hpAdaptiveSpace< F >::buildEdgeDofs_

private

Strategy to build the edge degrees of freedom.

Can be changed with buildEdgeDofs.

Definition at line 222 of file hpAdaptiveSpace.hh.

◆ buildInnerDofs_

template<class F >

std::unique_ptr<const BuildTColumnsBase<F> > hp2D::hpAdaptiveSpace< F >::buildInnerDofs_

private

Strategy to build the inner degrees of freedom.

Can be changed with buildInnerDofs.

Definition at line 226 of file hpAdaptiveSpace.hh.

◆ buildVertexDofs_

template<class F >

std::unique_ptr<const BuildTColumnsBase<F> > hp2D::hpAdaptiveSpace< F >::buildVertexDofs_

private

Strategy to build the vertex degrees of freedom.

Can be changed with buildVertexDofs.

Definition at line 218 of file hpAdaptiveSpace.hh.

◆ dofBuild_

template<class F >

uint hp2D::hpAdaptiveSpace< F >::dofBuild_

private

Number of the build of prebuild_ at last call of rebuild()

Definition at line 210 of file hpAdaptiveSpace.hh.

◆ elm_

template<class F >

concepts::Joiner<Element<F>*, 1>* hp2D::hpAdaptiveSpace< F >::elm_

private

Linked list of the elements.

Definition at line 214 of file hpAdaptiveSpace.hh.

◆ idxEdge_

template<class F >

uint hp2D::hpAdaptiveSpace< F >::idxEdge_

protected

Definition at line 158 of file hpAdaptiveSpace.hh.

◆ idxInner_

template<class F >

uint hp2D::hpAdaptiveSpace< F >::idxInner_

protected

Definition at line 158 of file hpAdaptiveSpace.hh.

◆ idxVtx_

template<class F >

uint hp2D::hpAdaptiveSpace< F >::idxVtx_

protected

Number of indices on entities, just for statistics.

Definition at line 158 of file hpAdaptiveSpace.hh.

◆ nelm_

template<class F >

uint hp2D::hpAdaptiveSpace< F >::nelm_

protected

Number of elements currently active in the mesh.

Definition at line 145 of file hpAdaptiveSpace.hh.

◆ notAvailable_

template<class F >

bool hp2D::hpAdaptiveSpace< F >::notAvailable_

private

Flag indicating some reasons the space is not available.

Definition at line 228 of file hpAdaptiveSpace.hh.

◆ offset_

template<class F >

uint hp2D::hpAdaptiveSpace< F >::offset_

protected

Initially given offset, holden for control, if in there are changes in the previous subspace.

Definition at line 150 of file hpAdaptiveSpace.hh.

◆ ownPrebuild_

template<class F >

bool hp2D::hpAdaptiveSpace< F >::ownPrebuild_

private

If prebuild object is created here and not given.

Definition at line 208 of file hpAdaptiveSpace.hh.

◆ prebuild_

template<class F >

hpFull* const hp2D::hpAdaptiveSpace< F >::prebuild_

protected

Mesh and degrees of freedoms.

Definition at line 137 of file hpAdaptiveSpace.hh.

◆ spc_

template<class F >

concepts::SubspaceHelper<F, SpacePreBuilder> hp2D::hpAdaptiveSpace< F >::spc_

protected

Helper class for building elements with space pre builder, boundary conditions and index.

Definition at line 142 of file hpAdaptiveSpace.hh.

◆ zeroDim_

template<class F >

bool hp2D::hpAdaptiveSpace< F >::zeroDim_

protected

Control, if dimension at last build is zero.

That is needed to distinguish from not built state, if the index counter is reset.

Definition at line 155 of file hpAdaptiveSpace.hh.

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

hp2D/hpAdaptiveSpace.hh

hp2D::hpAdaptiveSpace< F > Class Template Referenceabstract

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Strategies to Build the Degrees of Freedom

Detailed Description

template<class F> class hp2D::hpAdaptiveSpace< F >

Member Typedef Documentation

◆ Scan

◆ Scanner

◆ t_type

◆ type

Constructor & Destructor Documentation

◆ hpAdaptiveSpace() [1/3]

◆ hpAdaptiveSpace() [2/3]

◆ hpAdaptiveSpace() [3/3]

◆ ~hpAdaptiveSpace()

Member Function Documentation

◆ adjust()

◆ allCells() [1/2]

◆ allCells() [2/2]

◆ applySmatrices_()

◆ available()

◆ buildElements_()

◆ dim() [1/2]

◆ dim() [2/2]

◆ getOutputDimension()

◆ helper() [1/2]

◆ helper() [2/2]

◆ info()

◆ lastIdx() [1/2]

◆ lastIdx() [2/2]

◆ nelm() [1/2]

◆ nelm() [2/2]

◆ newElement_()

◆ offset()

◆ prebuild() [1/2]

◆ prebuild() [2/2]

◆ rebuild()

◆ recomputeShapefunctions()

◆ scan() [1/2]

◆ scan() [2/2]

◆ set_bc()

◆ setBuildEdgeDofs_()

◆ setBuildInnerDofs_()

◆ setBuildVertexDofs_()

◆ setEdgePassive_()

◆ setVtxPassive_()

Member Data Documentation

◆ build_

◆ buildEdgeDofs_

◆ buildInnerDofs_

◆ buildVertexDofs_

◆ dofBuild_

◆ elm_

◆ idxEdge_

◆ idxInner_

◆ idxVtx_

◆ nelm_

◆ notAvailable_

◆ offset_

◆ ownPrebuild_

◆ prebuild_

◆ spc_

◆ zeroDim_

template<class F>
class hp2D::hpAdaptiveSpace< F >