hp2Dedge::Space Class Reference

#include <space.hh>

Inheritance diagram for hp2Dedge::Space:

Public Types
typedef concepts::Scan< hp2D::Element< Real > >	Scan
typedef ElementWithCell< Real >	type
typedef Scan< ElementWithCell< Real > >	Scanner

Public Member Functions
	Space (concepts::Mesh2 &msh, uint l, uint p, concepts::BoundaryConditions *bc=0, bool trunk=false)
virtual uint	getOutputDimension () const
	Returns the default output dimension, when we consider plotting a real-valued operator on this space.
uint	dim () const
	Returns the dimension of the space.
uint	nelm () const
	Returns the number of elements in the space.
Scan *	scan () const
	scanner over the cells of the coarsest mesh
concepts::Scan< const concepts::Quad > *	interScan () const
	scanner over the intermediate cells
uint	dim ()
uint	nelm ()
Scan *	scan ()
	scanner over the cells of the coarsest mesh
concepts::Scan< const concepts::Quad > *	interScan ()
	scanner over the intermediate cells
virtual void	adjust (const concepts::Element< Real > &elm, const concepts::AdaptiveAdjustP< 2 > &a)
concepts::BoundaryConditions *	boundary ()
void	rebuild ()
void	recomputeShapefunctions ()
virtual void	adjust (const Element< Real > &elm, const concepts::AdaptiveAdjustP< 2 > &a)=0

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Detailed Description

A 2D hp FEM space of edge elements with piecewise polynomial basis functions with two components, where the tangential component is continuous Currently, only quadrilaterials and conforming meshes are possible.

Author

Kersten Schmidt, 2004

Definition at line 50 of file space.hh.

Member Typedef Documentation

Scan

typedef concepts::Scan<hp2D::Element<Real> > hp2Dedge::Space::Scan

Definition at line 54 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()

hp2Dedge::Space::Space	(	concepts::Mesh2 &	msh,
		uint	l,
		uint	p,
		concepts::BoundaryConditions *	bc = 0,
		bool	trunk = false
	)

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
trunk	Create trunk space ie., use the the rules p+q <= pIntMax + 1 in the interior instead of allowing all p, q combinations.

Member Function Documentation

adjust()

virtual void concepts::AdaptiveSpace< Real , concepts::AdaptiveAdjustP< 2 > >::adjust ( const Element< Real > &  elm, const concepts::AdaptiveAdjustP< 2 > &  a  )

pure virtualinherited

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

boundary()

concepts::BoundaryConditions * hp2Dedge::Space::boundary ( )

inline

Definition at line 95 of file space.hh.

dim() [1/2]

uint hp2Dedge::Space::dim ( )

inline

Definition at line 366 of file space.hh.

dim() [2/2]

uint hp2Dedge::Space::dim ( ) const

inlinevirtual

Returns the dimension of the space.

Implements concepts::SpaceOnCells< Real >.

Definition at line 346 of file space.hh.

getOutputDimension()

virtual uint hp2Dedge::Space::getOutputDimension ( ) const

inlinevirtual

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

Reimplemented from concepts::Space< F >.

Definition at line 74 of file space.hh.

info()

virtual std::ostream & hp2Dedge::Space::info ( std::ostream &  os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::SpaceOnCells< Real >.

interScan() [1/2]

concepts::Scan< const concepts::Quad > * hp2Dedge::Space::interScan ( )

inline

scanner over the intermediate cells

Definition at line 381 of file space.hh.

interScan() [2/2]

concepts::Scan< const concepts::Quad > * hp2Dedge::Space::interScan ( ) const

inline

scanner over the intermediate cells

Definition at line 361 of file space.hh.

nelm() [1/2]

uint hp2Dedge::Space::nelm ( )

inline

Definition at line 371 of file space.hh.

nelm() [2/2]

uint hp2Dedge::Space::nelm ( ) const

inlinevirtual

Returns the number of elements in the space.

Implements concepts::SpaceOnCells< Real >.

Definition at line 351 of file space.hh.

rebuild()

void hp2Dedge::Space::rebuild

(

)

Rebuilds the space. First the old list of Finite Elements in the space is removed (not the elements in the topology!). Then the control information for the vertices, edges and faces is cleared (the information on the 2D elements is retained). For every cell in the original mesh, rebuild0_ and rebuild1_ are called. From the mesh, they build the space and store the elements in elm_. An essential part of the generated information are the T matrices. They describe how the local shape functions are glued together to form the global shape functions.

rebuild0_ marks the elements with the right values and rebuild1_ really does the work.

See also

TMatrix for more information on T matrices and how they are stored.

recomputeShapefunctions()

void hp2Dedge::Space::recomputeShapefunctions

(

)

Recompute shape functions, e.g. for other abscissas redefined through setIntegrationRule

scan() [1/2]

Space::Scan * hp2Dedge::Space::scan ( )

inline

scanner over the cells of the coarsest mesh

Definition at line 376 of file space.hh.

scan() [2/2]

Space::Scan * hp2Dedge::Space::scan ( ) const

inlinevirtual

scanner over the cells of the coarsest mesh

Implements concepts::SpaceOnCells< Real >.

Definition at line 356 of file space.hh.

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

• hp2Dedge/space.hh