A 3D hp FEM space with continuous, picewise polynomial basis functions. More...

#include <space.hh>

Inheritance diagram for hp3D::Space:

Public Types
typedef concepts::Scan< hp3D::Element< Real > >	Scan

typedef Scan< ElementWithCell< Real > >	Scanner

typedef hp3D::TraceSpace	TraceSpaceT

typedef ElementWithCell< Real >	type

Public Member Functions
virtual void	adjust (const concepts::Element< Real > &elm, const concepts::AdaptiveAdjustP< 3 > &a)

virtual void	adjust (const Element< Real > &elm, const concepts::AdaptiveAdjustP< 3 > &a)=0
	Adjusts the space in the next rebuild step for this element. More...

const concepts::BoundaryConditions *	bc ()

virtual const concepts::BoundaryConditions *	bc () const

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

virtual uint	dim () const

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

void	getPmax (const concepts::Hexahedron &cntr, ushort Pmax[3]) const

const std::unique_ptr< concepts::SMatrixBase< Real > > *	getSmatrices (const concepts::Hex3dSubdivision *subdiv) const
	Returns the list of matrices matching the subdivision type `subdiv`. More...

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

virtual uint	nelm () const

Space	rebuild ()
	Rebuilds the space after an adjustment with `adjust`. More...

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

void	recomputeSmatrices (const Hexahedron *elm) const
	Checks if the S matrices need to be recomputed and does so if necessary. More...

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

virtual Scan *	scan () const

void	setDim (uint dim)

	Space (concepts::Mesh3 &msh, uint l, uint p, concepts::BoundaryConditions bc=0, concepts::CellConditions cc=0)
	Constructor. More...

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

virtual	~Space ()

Static Public Member Functions
Timing Interface
These functions are used to get timings from class internal computations. The values are stored in a user defined concepts::InOutParameters structure in different arrays (see `setTimings`). These arrays can be grouped into a table for easier postprocessing with concepts::ResultsTable table; table.addMap(concepts::ResultsTable::DOUBLE, "jacobian", output); table.addMap(concepts::ResultsTable::DOUBLE, "whole_sumfact", output); std::ofstream ofs("table.gnuplot"); ofs << std::setprecision(20); table.print<concepts::ResultsTable::GNUPLOT>(ofs);
static void	setTimings (concepts::InOutParameters *timings)
	Sets the class to store the timing values in. More...

static bool	timings ()
	Returns true if the class is able to do timings. More...

Friends
class	BuildDofsBase

Strategies to Build the Degrees of Freedom
concepts::Mesh3 &	msh_
	Mesh. More...

concepts::BoundaryConditions *	bc_
	Boundary conditions. More...

concepts::CellConditions *	cc_
	Cell conditions. More...

bool	rebuild_
	If true: the elements have to be rebuilt. More...

uint	dim_
	Dimension of the FE space. More...

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

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

concepts::Joiner< Element< Real > , 1 >	endElm_
	Mesh. More...

std::unordered_map< uint, concepts::AdaptiveControl<> >	ctrl0_
	Hash table of the control information for the vertices. More...

std::unique_ptr< std::unordered_map< uint, concepts::AdaptiveControlP< 1 > > >	ctrl1_
	Hash table of the control information for the edges. More...

std::unique_ptr< std::unordered_map< uint, concepts::AdaptiveControlP< 2 > > >	ctrl2_
	Hash table of the control information for the faces. More...

std::unordered_map< uint, concepts::AdaptiveControlP< 3 > >	ctrl3_
	Hash table of the control information for the 3D elements. More...

std::unordered_map< uint, concepts::AdaptiveControlP< 3 > >	pMax_
	Hash table of the dimension of the shape function space for the 3D elements. More...

std::map< uint, concepts::CellData >	cellList_
	List of cells. More...

std::map< uint, concepts::FaceData >	faceList_
	List of faces. More...

std::map< uint, concepts::EdgeData >	edgeList_
	List of edges. More...

std::map< uint, concepts::VertexData >	vertexList_
	List of vertices. More...

std::unordered_map< uint, concepts::AdaptiveAdjustP< 3 > >	adj_
	Hash table of the adjustment information of the elements. More...

std::unique_ptr< concepts::SMatrix1D >	S1left_
	The S matrices in 1D. More...

std::unique_ptr< concepts::SMatrix1D >	S1right_
	Mesh. More...

std::unique_ptr< concepts::SMatrixBase< Real > >	Smatrices8_ [8]
	The S matrices in 3D for the subdivision into 8 children. More...

std::unique_ptr< concepts::SMatrixBase< Real > >	Smatrices4x_ [4]
	The S matrices in 3D for the subdivision into 4 children. More...

std::unique_ptr< concepts::SMatrixBase< Real > >	Smatrices4y_ [4]
	Mesh. More...

std::unique_ptr< concepts::SMatrixBase< Real > >	Smatrices4z_ [4]
	Mesh. More...

std::unique_ptr< concepts::SMatrixBase< Real > >	Smatrices2x_ [2]
	The S matrices in 3D for the subdivision into 2 children. More...

std::unique_ptr< concepts::SMatrixBase< Real > >	Smatrices2y_ [2]
	Mesh. More...

std::unique_ptr< concepts::SMatrixBase< Real > >	Smatrices2z_ [2]
	Mesh. More...

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

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

std::unique_ptr< BuildDofsBase >	buildFaceDofs_
	Strategy to build the face degrees of freedom. More...

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

static concepts::InOutParameters *	timings_
	Place to store timing values. More...

static uint	timeCntr_
	Counter for timing table. More...

void	buildVertexDofs (const BuildDofsBase &b)
	Change the strategy how the degrees of freedom for the vertices are built. More...

void	buildEdgeDofs (const BuildDofsBase &b)
	Change the strategy how the degrees of freedom for the edge are built. More...

void	buildFaceDofs (const BuildDofsBase &b)
	Change the strategy how the degrees of freedom for the face are built. More...

void	buildInnerDofs (const BuildDofsBase &b)
	Change the strategy how the degrees of freedom for the interior are built. More...

virtual std::ostream &	info (std::ostream &os) const
	Mesh. More...

void	meshAndPoly_ (concepts::Hexahedron3d &cell, concepts::Level< 3 > &L, int *P)
	Adjusts the mesh and the polynomial degree. More...

void	enforceBC_ (concepts::Hexahedron3d &cell)
	Enforce Dirichlet boundary conditions. More...

void	enforceCC_ (concepts::Hexahedron3d &cell)
	Enforce cell condition INACTIVEPLUS. More...

void	createCellList_ (const concepts::Connector &cntr, const concepts::CellData *father)
	Initially fills `cellList_` (recusively). More...

void	createEdgFaceList_ (const concepts::Cell3 &cell)
	Initially fills `faceList_` and `edgeList_`. More...

void	createVtxEdgList_ (const concepts::Cell3 &cell)
	Initially fills `vertexList_`. More...

void	enrichElm_ (const concepts::Hexahedron3d &cell, int *p)
	Enriches the polynomial degrees. More...

void	buildElements_ (concepts::Hexahedron3d &cell, ushort Pmax, concepts::TColumn< Real > T0=0)
	Creates the elements and their T matrices. More...

void	getPmax_ (const concepts::Hexahedron &cntr, ushort Pmax[3]) const
	Returns the polynomial degrees of the shape function space on connector. More...

void	computePmax_ (const concepts::Hexahedron &cntr, ushort Pmax[3]) const
	Computes the maximal polynomial degree of `cell` in each direction. More...

void	deactivate_ (const concepts::Connector2 &face)
	Deactivates the children of `face` (including the new edges and vertices). More...

void	deactivate_ (const concepts::Connector1 &edg)
	Deactivates the children of the edge `edg` (including the middle vertex). More...

void	deactivate_ (const concepts::Connector0 &vtx)
	Deactivates the children of the vertex `vtx`. More...

void	doCorrectRefinement_ (concepts::Hexahedron3d &cell, concepts::Level< 3 > &L) const
	Does apply the correct refinement based on the requested level change. More...

Detailed Description

A 3D hp FEM space with continuous, picewise polynomial basis functions.

Currently, only hexahedra are possible.

Adaptivity: You can adaptively refine this space by using adjust() on some elements to refine them or increase their polynomial degree. Please note that these extensions can be locally varying (ie. non-uniform) and anisotropic.

Trunk Space: Classically, the whole tensor product polynomial space is used on each element to build the degress of freedom. However, a considerable amount of degrees of freedom can be saved, when only a trunk of this space is used. In fact, only very little is lost in accuracy while the gain in terms of degrees of freedom is noteworthy. The methods buildVertexDofs(), buildEdgeDofs(), buildFaceDofs() and buildInnerDofs() can be used to change the way the degrees of freedom on each part of each element are built.

Timing: This class is equiped with an interface to get timings of internal computations if compiled accordingly (see space.cc file), see setTimings() and timings().

Author: Philipp Frauenfelder, 2001

Test:

test::SpaceTest3D

test::DeadLock2

test::DeadLock3

Examples: hpFEM3d-EV.cc.

Definition at line 82 of file space.hh.

Member Typedef Documentation

◆ Scan

typedef concepts::Scan<hp3D::Element<Real> > hp3D::Space::Scan

Definition at line 87 of file space.hh.

◆ Scanner

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

inherited

Definition at line 84 of file space.hh.

◆ TraceSpaceT

typedef hp3D::TraceSpace hp3D::Space::TraceSpaceT

Definition at line 88 of file space.hh.

◆ type

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

inherited

Definition at line 83 of file space.hh.

Constructor & Destructor Documentation

◆ Space() [1/2]

hp3D::Space::Space	(	concepts::Mesh3 &	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 conditions

◆ Space() [2/2]

hp3D::Space::Space ( const Space & spc )

Copy constructor.

◆ ~Space()

virtual hp3D::Space::~Space ( )

virtual

Member Function Documentation

◆ adjust() [1/2]

virtual void hp3D::Space::adjust	(	const concepts::Element< Real > &	elm,
		const concepts::AdaptiveAdjustP< 3 > &	a
	)

virtual

◆ adjust() [2/2]

virtual void concepts::AdaptiveSpace< Real , concepts::AdaptiveAdjustP< 3 > >::adjust	(	const Element< Real > &	elm,
		const concepts::AdaptiveAdjustP< 3 > &	a
	)

pure virtualinherited

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

◆ bc() [1/2]

const concepts::BoundaryConditions * hp3D::Space::bc ( )

inline

Definition at line 507 of file space.hh.

◆ bc() [2/2]

const concepts::BoundaryConditions * hp3D::Space::bc ( ) const

inlinevirtual

Definition at line 487 of file space.hh.

◆ buildEdgeDofs()

void hp3D::Space::buildEdgeDofs ( const BuildDofsBase & b )

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

◆ buildElements_()

void hp3D::Space::buildElements_	(	concepts::Hexahedron3d &	cell,
		ushort *	Pmax,
		concepts::TColumn< Real > *	T0 = `0`
	)

private

Creates the elements and their T matrices.

This routine is called recursively until the finest level is reached. If there have degrees of freedom to be assigned on higher level, the according T columns are adapted using the S matrices. On the finest level, the elements are created and the T matrix is created from the T columns.

Parameters

cell	The current cell
Pmax	Request for maximal polynomial degree, array with 3 entries
T0	Precomputed T columns which belong to a parent of the cell

Precondition: Pmax is an array of 3 integers

◆ buildFaceDofs()

void hp3D::Space::buildFaceDofs ( const BuildDofsBase & b )

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

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

buildFaceDofs_ is reset with a clone of b.

Parameters

b	New strategy

◆ buildInnerDofs()

void hp3D::Space::buildInnerDofs ( const BuildDofsBase & b )

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

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

buildInnerDofs_ is reset with a clone of b.

Parameters

b	New strategy

◆ buildVertexDofs()

void hp3D::Space::buildVertexDofs ( const BuildDofsBase & b )

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

◆ computePmax_()

void hp3D::Space::computePmax_	(	const concepts::Hexahedron &	cntr,
		ushort	Pmax[3]
	)		const

private

Computes the maximal polynomial degree of cell in each direction.

Takes into account higher polynomial degrees on faces and edges compared to the interior.

◆ createCellList_()

void hp3D::Space::createCellList_	(	const concepts::Connector &	cntr,
		const concepts::CellData *	father
	)

private

Initially fills cellList_ (recusively).

Up to the active level, all cells are stored in the list with their key as list key. The father pointer in the CellData structure is set during this process.

Parameters

cntr	Cell to work on
father	Parent cell of `cell`

◆ createEdgFaceList_()

void hp3D::Space::createEdgFaceList_ ( const concepts::Cell3 & cell )

private

Initially fills faceList_ and edgeList_.

In faceList_ every face of all active cells is stored together with a pointer to its cells. In edgeList_ every edge of all active cells is stored together with pointers to its cells and faces.

Parameters

cell	Cell to work on

◆ createVtxEdgList_()

void hp3D::Space::createVtxEdgList_ ( const concepts::Cell3 & cell )

private

Initially fills vertexList_.

In vertexLIst_ every vertex of all active cells is stored together with pointers to its cells and edges.

Parameters

cell	Cell to work on

◆ deactivate_() [1/3]

void hp3D::Space::deactivate_ ( const concepts::Connector0 & vtx )

private

Deactivates the children of the vertex vtx.

◆ deactivate_() [2/3]

void hp3D::Space::deactivate_ ( const concepts::Connector1 & edg )

private

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

◆ deactivate_() [3/3]

void hp3D::Space::deactivate_ ( const concepts::Connector2 & face )

private

Deactivates the children of face (including the new edges and vertices).

◆ dim() [1/2]

uint hp3D::Space::dim ( )

inlinevirtual

Returns the dimension of the space.

Implements concepts::SpaceOnCells< Real >.

Definition at line 492 of file space.hh.

◆ dim() [2/2]

uint hp3D::Space::dim ( ) const

inlinevirtual

Definition at line 472 of file space.hh.

◆ doCorrectRefinement_()

void hp3D::Space::doCorrectRefinement_	(	concepts::Hexahedron3d &	cell,
		concepts::Level< 3 > &	L
	)		const

private

Does apply the correct refinement based on the requested level change.

If the refinement is not readly applicable, upgraded refinements are tested to circumvent a geometric deadlock problem.

This routine is called by meshAndPoly_.

◆ enforceBC_()

void hp3D::Space::enforceBC_ ( concepts::Hexahedron3d & cell )

private

Enforce Dirichlet boundary conditions.

This routine is called by meshAndPoly_ on every cell.

Parameters

cell	Cell to work on

◆ enforceCC_()

void hp3D::Space::enforceCC_ ( concepts::Hexahedron3d & cell )

private

Enforce cell condition INACTIVEPLUS.

This routine is called by meshAndPoly_ on every cell in order to deactivate all faces, edges and vertices of cells that are INACTIVEPLUS.

Parameters

cell	Cell to work on

◆ enrichElm_()

void hp3D::Space::enrichElm_	(	const concepts::Hexahedron3d &	cell,
		int *	p
	)

private

Enriches the polynomial degrees.

This enrichement is necessary for the edges and faces to be able to create conforming global basis functions.

In refined cells, some of the small edges and faces might have a polynomial degree which is too low to represent a part of a basis function which is defined on a larger element.

To achieve this, the cells are traversed top down until the level of the elements is reached. During the traversal, the needed polynomial degree for the small elements is computed and enforced on the element level (only on the edges and faces!).

Precondition: p is an array of 27 integers

◆ getOutputDimension()

virtual uint concepts::Space< Real >::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.

◆ getPmax()

void hp3D::Space::getPmax	(	const concepts::Hexahedron &	cntr,
		ushort	Pmax[3]
	)		const

inline

Definition at line 118 of file space.hh.

◆ getPmax_()

void hp3D::Space::getPmax_	(	const concepts::Hexahedron &	cntr,
		ushort	Pmax[3]
	)		const

private

Returns the polynomial degrees of the shape function space on connector.

◆ getSmatrices()

const std::unique_ptr<concepts::SMatrixBase<Real> >* hp3D::Space::getSmatrices ( const concepts::Hex3dSubdivision * subdiv ) const

Returns the list of matrices matching the subdivision type subdiv.

◆ info()

virtual std::ostream& hp3D::Space::info ( std::ostream & os ) const

protectedvirtual

Mesh.

Reimplemented from concepts::SpaceOnCells< Real >.

◆ meshAndPoly_()

void hp3D::Space::meshAndPoly_	(	concepts::Hexahedron3d &	cell,
		concepts::Level< 3 > &	L,
		int *	P
	)

private

Adjusts the mesh and the polynomial degree.

On the old mesh, the adjustment information is taken. This leads to mesh refinements or coarsening and a certain polynomial degree distribution.

The polynomial degree is fixed on the finest level (where the elements are eventually built) and given to the coarser levels (for faces, edges and the interior of the cell). This is done bottom up.

Finally, the boundary conditions are enforced on every cell using enforceBC_

  @param cell Cell

Parameters

L	The desired level
P	The desired polynomial degree

Precondition: P is an array of 3 integers

See also: enforceBC_

◆ nelm() [1/2]

uint hp3D::Space::nelm ( )

inlinevirtual

Returns the number of elements in the space.

Implements concepts::SpaceOnCells< Real >.

Definition at line 497 of file space.hh.

◆ nelm() [2/2]

uint hp3D::Space::nelm ( ) const

inlinevirtual

Definition at line 477 of file space.hh.

◆ rebuild()

Space hp3D::Space::rebuild ( )

Rebuilds the space after an adjustment with adjust.

Steps:

Calls meshAndPoly_ for every cell in the coarse mesh.
Creates the lists cellList_, faceList_, faceListEdg_, edgeList_, edgeListVtx_, and vertexList_ by calling createCellList_, createEdgFaceList_ and createVtxEdgList_ for every cell in the coarse mesh.
The lists which were created in the previous step are update and changed using FaceData::checkRelatedFaces, EdgeData::checkRelatedEdges, EdgeData::checkRelations, VertexData::checkRelations in order to find the supports of the basis functions (which have to be continuous).
Calls enrichElm_ for every cell in the coarse mesh.
Calls buildElements_ for every cell in the coarse mesh.

They all work recursively and rebuild the space.

At the end of this routine, the information in adj_, ctrl0_, ctrl1_, ctrl2_, cellList_, faceList_, faceListEdg_, edgeList_, edgeListVtx_ and vertexList_ is deleted. Just the list of elements in elm_ and ctrl3_ is kept.

See also: concepts::TMatrixBase for more information on T matrices and how they are stored; createCellList_; createVtxEdgList_; concepts::FaceData::checkRelatedFaces; concepts::EdgeData::checkRelatedEdges; concepts::EdgeData::checkRelations; concepts::VertexData::checkRelations; enrichElm_; buildElements_

Returns: Copy of the space on the old level

Examples: hpFEM3d-EV.cc.

◆ recomputeShapefunctions()

void hp3D::Space::recomputeShapefunctions ( )

Recompute shape functions, e.g.

for other abscissas redefined through setIntegrationRule

◆ recomputeSmatrices()

void hp3D::Space::recomputeSmatrices ( const Hexahedron * elm ) const

Checks if the S matrices need to be recomputed and does so if necessary.

Parameters

elm	Element which the S matrices are needed for (the polynomial degrees are important)

◆ scan() [1/2]

Space::Scan * hp3D::Space::scan ( )

inlinevirtual

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

Implements concepts::SpaceOnCells< Real >.

Definition at line 502 of file space.hh.

◆ scan() [2/2]

Space::Scan * hp3D::Space::scan ( ) const

inlinevirtual

Definition at line 482 of file space.hh.

◆ setDim()

void hp3D::Space::setDim ( uint dim )

◆ setTimings()

static void hp3D::Space::setTimings ( concepts::InOutParameters * timings )

static

Sets the class to store the timing values in.

Additionally, the timeCntr_ is reset to 0. This counter is used to fill in the values into the arrays listed below in subsequent calls. The following timings are taken and stored in timings:

subroutine meshAndPoly_ in meshAndPoly
creation of the lists of vertices, edges and faces in createTopologyLists
finding the support of faces modes in checkRelatedFaces
finding the support of edge modes in checkRelatedEdges
finding the support of vertex modes in checkRelatedVertices
enriching the degree of elements in enrichElements
building the elements and the T matrices in buildElements

◆ timings()

static bool hp3D::Space::timings ( )

static

Returns true if the class is able to do timings.

The ability to do timings depends on a compiler switch in space.cc file.

Friends And Related Function Documentation

◆ BuildDofsBase

friend class BuildDofsBase

friend

Definition at line 85 of file space.hh.

Member Data Documentation

◆ adj_

std::unordered_map<uint, concepts::AdaptiveAdjustP<3> > hp3D::Space::adj_

private

Hash table of the adjustment information of the elements.

Definition at line 303 of file space.hh.

◆ bc_

concepts::BoundaryConditions* hp3D::Space::bc_

private

Boundary conditions.

Definition at line 265 of file space.hh.

◆ buildEdgeDofs_

std::unique_ptr<BuildDofsBase> hp3D::Space::buildEdgeDofs_

private

Strategy to build the edge degrees of freedom.

Can be changed with buildEdgeDofs.

Definition at line 334 of file space.hh.

◆ buildFaceDofs_

std::unique_ptr<BuildDofsBase> hp3D::Space::buildFaceDofs_

private

Strategy to build the face degrees of freedom.

Can be changed with buildFaceDofs.

Definition at line 338 of file space.hh.

◆ buildInnerDofs_

std::unique_ptr<BuildDofsBase> hp3D::Space::buildInnerDofs_

private

Strategy to build the inner degrees of freedom.

Can be changed with buildInnerDofs.

Definition at line 342 of file space.hh.

◆ buildVertexDofs_

std::unique_ptr<BuildDofsBase> hp3D::Space::buildVertexDofs_

private

Strategy to build the vertex degrees of freedom.

Can be changed with buildVertexDofs.

Definition at line 330 of file space.hh.

◆ cc_

concepts::CellConditions* hp3D::Space::cc_

private

Cell conditions.

Definition at line 267 of file space.hh.

◆ cellList_

std::map<uint, concepts::CellData> hp3D::Space::cellList_

private

List of cells.

Definition at line 294 of file space.hh.

◆ ctrl0_

std::unordered_map<uint, concepts::AdaptiveControl<> > hp3D::Space::ctrl0_

private

Hash table of the control information for the vertices.

Definition at line 281 of file space.hh.

◆ ctrl1_

std::unique_ptr<std::unordered_map<uint, concepts::AdaptiveControlP<1> > > hp3D::Space::ctrl1_

private

Hash table of the control information for the edges.

Definition at line 284 of file space.hh.

◆ ctrl2_

std::unique_ptr<std::unordered_map<uint, concepts::AdaptiveControlP<2> > > hp3D::Space::ctrl2_

private

Hash table of the control information for the faces.

Definition at line 287 of file space.hh.

◆ ctrl3_

std::unordered_map<uint, concepts::AdaptiveControlP<3> > hp3D::Space::ctrl3_

private

Hash table of the control information for the 3D elements.

Definition at line 289 of file space.hh.

◆ dim_

uint hp3D::Space::dim_

private

Dimension of the FE space.

Definition at line 274 of file space.hh.

◆ edgeList_

std::map<uint, concepts::EdgeData> hp3D::Space::edgeList_

private

List of edges.

Definition at line 298 of file space.hh.

◆ elm_

concepts::Joiner<Element<Real>*, 1>* hp3D::Space::elm_

private

Linked list of the elements.

Definition at line 278 of file space.hh.

◆ endElm_

concepts::Joiner<Element<Real>*, 1>* hp3D::Space::endElm_

private

Mesh.

Definition at line 279 of file space.hh.

◆ faceList_

std::map<uint, concepts::FaceData> hp3D::Space::faceList_

private

List of faces.

Definition at line 296 of file space.hh.

◆ msh_

concepts::Mesh3& hp3D::Space::msh_

private

Mesh.

Definition at line 263 of file space.hh.

◆ nelm_

uint hp3D::Space::nelm_

private

Number of elements currently active in the mesh.

Definition at line 276 of file space.hh.

◆ pMax_

std::unordered_map<uint, concepts::AdaptiveControlP<3> > hp3D::Space::pMax_

private

Hash table of the dimension of the shape function space for the 3D elements.

Definition at line 291 of file space.hh.

◆ rebuild_

bool hp3D::Space::rebuild_

private

If true: the elements have to be rebuilt.

Some elements have been marked for refinement or for coarsening and the elements are outdated.

Definition at line 271 of file space.hh.

◆ S1left_

std::unique_ptr<concepts::SMatrix1D> hp3D::Space::S1left_

mutableprivate

The S matrices in 1D.

Definition at line 306 of file space.hh.

◆ S1right_

std::unique_ptr<concepts::SMatrix1D> hp3D::Space::S1right_

private

Mesh.

Definition at line 306 of file space.hh.

◆ Smatrices2x_

std::unique_ptr<concepts::SMatrixBase<Real> > hp3D::Space::Smatrices2x_[2]

mutableprivate

The S matrices in 3D for the subdivision into 2 children.

See also: concepts::Hex3dSubdiv2x concepts::Hex3dSubdiv2y concepts::Hex3dSubdiv2z

Definition at line 319 of file space.hh.

◆ Smatrices2y_

std::unique_ptr<concepts::SMatrixBase<Real> > hp3D::Space::Smatrices2y_[2]

private

Mesh.

Definition at line 320 of file space.hh.

◆ Smatrices2z_

std::unique_ptr<concepts::SMatrixBase<Real> > hp3D::Space::Smatrices2z_[2]

private

Mesh.

Definition at line 320 of file space.hh.

◆ Smatrices4x_

std::unique_ptr<concepts::SMatrixBase<Real> > hp3D::Space::Smatrices4x_[4]

mutableprivate

The S matrices in 3D for the subdivision into 4 children.

See also: concepts::Hex3dSubdiv4x concepts::Hex3dSubdiv4y concepts::Hex3dSubdiv4z

Definition at line 314 of file space.hh.

◆ Smatrices4y_

std::unique_ptr<concepts::SMatrixBase<Real> > hp3D::Space::Smatrices4y_[4]

private

Mesh.

Definition at line 315 of file space.hh.

◆ Smatrices4z_

std::unique_ptr<concepts::SMatrixBase<Real> > hp3D::Space::Smatrices4z_[4]

private

Mesh.

Definition at line 315 of file space.hh.

◆ Smatrices8_

std::unique_ptr<concepts::SMatrixBase<Real> > hp3D::Space::Smatrices8_[8]

mutableprivate

The S matrices in 3D for the subdivision into 8 children.

See also: concepts::Hex3dSubdiv8

Definition at line 310 of file space.hh.

◆ timeCntr_

uint hp3D::Space::timeCntr_

staticprivate

Counter for timing table.

Definition at line 325 of file space.hh.

◆ timings_

concepts::InOutParameters* hp3D::Space::timings_

staticprivate

Place to store timing values.

Definition at line 323 of file space.hh.

◆ vertexList_

std::map<uint, concepts::VertexData> hp3D::Space::vertexList_

private

List of vertices.

Definition at line 300 of file space.hh.

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

hp3D/space.hh

hp3D::Space Class Referenceabstract

Public Types

Public Member Functions

Static Public Member Functions

Friends

Strategies to Build the Degrees of Freedom

Detailed Description

Member Typedef Documentation

◆ Scan

◆ Scanner

◆ TraceSpaceT

◆ type

Constructor & Destructor Documentation

◆ Space() [1/2]

◆ Space() [2/2]

◆ ~Space()

Member Function Documentation

◆ adjust() [1/2]

◆ adjust() [2/2]

◆ bc() [1/2]

◆ bc() [2/2]

◆ buildEdgeDofs()

◆ buildElements_()

◆ buildFaceDofs()

◆ buildInnerDofs()

◆ buildVertexDofs()

◆ computePmax_()

◆ createCellList_()

◆ createEdgFaceList_()

◆ createVtxEdgList_()

◆ deactivate_() [1/3]

◆ deactivate_() [2/3]

◆ deactivate_() [3/3]

◆ dim() [1/2]

◆ dim() [2/2]

◆ doCorrectRefinement_()

◆ enforceBC_()

◆ enforceCC_()

◆ enrichElm_()

◆ getOutputDimension()

◆ getPmax()

◆ getPmax_()

◆ getSmatrices()

◆ info()

◆ meshAndPoly_()

◆ nelm() [1/2]

◆ nelm() [2/2]

◆ rebuild()

◆ recomputeShapefunctions()

◆ recomputeSmatrices()

◆ scan() [1/2]

◆ scan() [2/2]

◆ setDim()

◆ setTimings()

◆ timings()

Friends And Related Function Documentation

◆ BuildDofsBase

Member Data Documentation

◆ adj_

◆ bc_

◆ buildEdgeDofs_

◆ buildFaceDofs_

◆ buildInnerDofs_

◆ buildVertexDofs_

◆ cc_

◆ cellList_

◆ ctrl0_

◆ ctrl1_

◆ ctrl2_

◆ ctrl3_

◆ dim_

◆ edgeList_

◆ elm_

◆ endElm_

◆ faceList_

◆ msh_

◆ nelm_

◆ pMax_

◆ rebuild_

◆ S1left_