A 1D hp FEM space with continuous, picewise polynomial basis functions. More...

#include <space.hh>

Inheritance diagram for hp1D::Space:

Public Types
typedef concepts::Scan< BaseElement< Real > >	Scan

typedef Scan< ElementWithCell< Real > >	Scanner

typedef ElementWithCell< Real >	type

Public Member Functions
virtual void	adjust (const concepts::Element< Real > &elm, const concepts::AdaptiveAdjustP< 1 > &a)

virtual void	adjust (const Element< Real > &elm, const concepts::AdaptiveAdjustP< 1 > &a)=0
	Adjusts the space in the next rebuild step for this element. More...

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

uint	dim () const

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

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

uint	nelm () const

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

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

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

Scan *	scan () const

	Space (concepts::Mesh1 &msh, uint l, uint p, concepts::BoundaryConditions *bc=0)
	Constructor. More...

virtual	~Space ()

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const

Private Member Functions
void	buildElements_ (concepts::EdgeNd &cell, concepts::TColumn< Real > *T0=0)

void	enforceBC_ (concepts::EdgeNd &cell)

void	meshAndPoly_ (concepts::EdgeNd &cell, int l, int &L, int &P)

Private Attributes
concepts::DynArray< concepts::AdaptiveAdjustP< 1 > >	adj_
	Hash table of the adjustment information of the elements. More...

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

concepts::DynArray< concepts::AdaptiveControl<> >	ctrl0_
	Hash table of the control information for the vertices. More...

concepts::DynArray< concepts::AdaptiveControlP< 1 > >	ctrl1_
	Hash table of the control information for the 1D elements. More...

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

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

concepts::Mesh1 &	msh_
	Mesh. More...

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

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

Detailed Description

A 1D hp FEM space with continuous, picewise polynomial basis functions.

Author: Philipp Frauenfelder, 2002

Definition at line 27 of file space.hh.

Member Typedef Documentation

◆ Scan

typedef concepts::Scan<BaseElement<Real> > hp1D::Space::Scan

Definition at line 31 of file space.hh.

◆ Scanner

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

inherited

Definition at line 84 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()

hp1D::Space::Space	(	concepts::Mesh1 &	msh,
		uint	l,
		uint	p,
		concepts::BoundaryConditions *	bc = `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

◆ ~Space()

virtual hp1D::Space::~Space ( )

virtual

Member Function Documentation

◆ adjust() [1/2]

virtual void hp1D::Space::adjust	(	const concepts::Element< Real > &	elm,
		const concepts::AdaptiveAdjustP< 1 > &	a
	)

virtual

◆ adjust() [2/2]

virtual void concepts::AdaptiveSpace< Real , concepts::AdaptiveAdjustP< 1 > >::adjust	(	const Element< Real > &	elm,
		const concepts::AdaptiveAdjustP< 1 > &	a
	)

pure virtualinherited

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

◆ buildElements_()

void hp1D::Space::buildElements_	(	concepts::EdgeNd &	cell,
		concepts::TColumn< Real > *	T0 = `0`
	)

private

◆ dim() [1/2]

uint hp1D::Space::dim ( )

inlinevirtual

Returns the dimension of the space.

Implements concepts::SpaceOnCells< Real >.

Definition at line 117 of file space.hh.

◆ dim() [2/2]

uint hp1D::Space::dim ( ) const

inline

Definition at line 102 of file space.hh.

◆ enforceBC_()

void hp1D::Space::enforceBC_ ( concepts::EdgeNd & cell )

private

◆ 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.

◆ info()

virtual std::ostream& hp1D::Space::info ( std::ostream & os ) const

protectedvirtual

Reimplemented from concepts::SpaceOnCells< Real >.

◆ meshAndPoly_()

void hp1D::Space::meshAndPoly_	(	concepts::EdgeNd &	cell,
		int	l,
		int &	L,
		int &	P
	)

private

◆ nelm() [1/2]

uint hp1D::Space::nelm ( )

inlinevirtual

Returns the number of elements in the space.

Implements concepts::SpaceOnCells< Real >.

Definition at line 122 of file space.hh.

◆ nelm() [2/2]

uint hp1D::Space::nelm ( ) const

inline

Definition at line 107 of file space.hh.

◆ rebuild()

void hp1D::Space::rebuild ( )

Rebuilds the space after an adjustment with adjust.

◆ recomputeShapefunctions()

void hp1D::Space::recomputeShapefunctions ( )

Recompute shape functions, e.g.

for other abscissas redefined through IntegrableElm::rule().set(...)

◆ scan() [1/2]

Space::Scan * hp1D::Space::scan ( )

inlinevirtual

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

Implements concepts::SpaceOnCells< Real >.

Definition at line 127 of file space.hh.

◆ scan() [2/2]

Space::Scan * hp1D::Space::scan ( ) const

inline

Definition at line 112 of file space.hh.

Member Data Documentation

◆ adj_

concepts::DynArray<concepts::AdaptiveAdjustP<1> > hp1D::Space::adj_

private

Hash table of the adjustment information of the elements.

Definition at line 94 of file space.hh.

◆ bc_

concepts::BoundaryConditions* hp1D::Space::bc_

private

Boundary conditions.

Definition at line 71 of file space.hh.

◆ ctrl0_

concepts::DynArray<concepts::AdaptiveControl<> > hp1D::Space::ctrl0_

private

Hash table of the control information for the vertices.

Definition at line 89 of file space.hh.

◆ ctrl1_

concepts::DynArray<concepts::AdaptiveControlP<1> > hp1D::Space::ctrl1_

private

Hash table of the control information for the 1D elements.

Definition at line 91 of file space.hh.

◆ dim_

uint hp1D::Space::dim_

private

Dimension of the FE space.

Definition at line 80 of file space.hh.

◆ elm_

concepts::Joiner<BaseElement<Real>*, 1>* hp1D::Space::elm_

private

Linked list of the elements.

Definition at line 86 of file space.hh.

◆ msh_

concepts::Mesh1& hp1D::Space::msh_

private

Mesh.

Definition at line 69 of file space.hh.

◆ nelm_

uint hp1D::Space::nelm_

private

Number of elements currently active in the mesh.

Definition at line 83 of file space.hh.

◆ rebuild_

bool hp1D::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 77 of file space.hh.

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

hp1D/space.hh

hp1D::Space Class Referenceabstract

Public Types

Public Member Functions

Protected Member Functions

Private Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ Scan

◆ Scanner

◆ type

Constructor & Destructor Documentation

◆ Space()

◆ ~Space()

Member Function Documentation

◆ adjust() [1/2]

◆ adjust() [2/2]

◆ buildElements_()

◆ dim() [1/2]

◆ dim() [2/2]

◆ enforceBC_()

◆ getOutputDimension()

◆ info()

◆ meshAndPoly_()

◆ nelm() [1/2]

◆ nelm() [2/2]

◆ rebuild()

◆ recomputeShapefunctions()

◆ scan() [1/2]

◆ scan() [2/2]

Member Data Documentation

◆ adj_

◆ bc_

◆ ctrl0_

◆ ctrl1_

◆ dim_

◆ elm_

◆ msh_

◆ nelm_

◆ rebuild_