hp1D::hpAdaptiveSpaceL2 Class Referenceabstract

A 1D polynomial space spanned by Legrendre type polynomials. More...

#include <hpAdaptiveSpaceL2.hh>

Inheritance diagram for hp1D::hpAdaptiveSpaceL2:

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

Public Member Functions
uint	dim () const override
virtual uint	dim () const=0
	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...
	hpAdaptiveSpaceL2 (concepts::Mesh1 &msh, uint p)
uint	nelm () const override
virtual uint	nelm () const=0
	Returns the number of elements in the space. More...
void	recomputeShapefunctions ()
	Recompute shape functions, e.g. More...
Scan *	scan () const override
virtual Scanner *	scan () const=0
	Returns a scanner to iterate over the elements of the space. More...
	~hpAdaptiveSpaceL2 () override

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

Private Attributes
uint	dim_
	Dimension of the FE space. More...
concepts::Joiner< BaseElement< Real > *, 1 > *	elm_
	Linked list of the elements. More...
uint	nelm_
	Number of elements currently active in the mesh. More...

Detailed Description

A 1D polynomial space spanned by Legrendre type polynomials.

More precisely the basis is polynonmial and orthonomal w.r.t. the scalar product

.

Author

Robert Gruhlke, 2016

Definition at line 27 of file hpAdaptiveSpaceL2.hh.

Member Typedef Documentation

Scan

typedef concepts::Scan<BaseElement<concepts::Real> > hp1D::hpAdaptiveSpaceL2::Scan

Definition at line 29 of file hpAdaptiveSpaceL2.hh.

Scanner

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

inherited

Definition at line 84 of file space.hh.

type

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

inherited

Definition at line 83 of file space.hh.

Constructor & Destructor Documentation

hpAdaptiveSpaceL2()

hp1D::hpAdaptiveSpaceL2::hpAdaptiveSpaceL2	(	concepts::Mesh1 &	msh,
		uint	p
	)

Parameters

msh	The mesh consisting of a single edge element.
p	Degree of the polynomials to be used.

~hpAdaptiveSpaceL2()

hp1D::hpAdaptiveSpaceL2::~hpAdaptiveSpaceL2 ( )

override

Member Function Documentation

dim() [1/2]

uint hp1D::hpAdaptiveSpaceL2::dim ( ) const

inlineoverride

Definition at line 38 of file hpAdaptiveSpaceL2.hh.

dim() [2/2]

virtual uint concepts::SpaceOnCells< concepts::Real >::dim ( ) const

pure virtualinherited

Returns the dimension of the space.

Implements concepts::Space< concepts::Real >.

Implemented in bem::AdaptConst3d002< F >, bem::AdaptConst3d001< F >, and bem::AdaptConst3d000< F >.

getOutputDimension()

virtual uint concepts::Space< concepts::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::hpAdaptiveSpaceL2::info ( std::ostream &  os ) const

overrideprotectedvirtual

Reimplemented from concepts::SpaceOnCells< concepts::Real >.

nelm() [1/2]

uint hp1D::hpAdaptiveSpaceL2::nelm ( ) const

inlineoverride

Definition at line 42 of file hpAdaptiveSpaceL2.hh.

nelm() [2/2]

virtual uint concepts::SpaceOnCells< concepts::Real >::nelm ( ) const

pure virtualinherited

Returns the number of elements in the space.

Implements concepts::Space< concepts::Real >.

Implemented in bem::AdaptConst3d002< F >, bem::AdaptConst3d001< F >, and bem::AdaptConst3d000< F >.

recomputeShapefunctions()

void hp1D::hpAdaptiveSpaceL2::recomputeShapefunctions

(

)

Recompute shape functions, e.g.

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

scan() [1/2]

Scan* hp1D::hpAdaptiveSpaceL2::scan ( ) const

inlineoverride

Definition at line 46 of file hpAdaptiveSpaceL2.hh.

scan() [2/2]

virtual Scanner* concepts::SpaceOnCells< concepts::Real >::scan ( ) const

pure virtualinherited

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

Implements concepts::Space< concepts::Real >.

Implemented in bem::AdaptConst3d002< F >, bem::AdaptConst3d001< F >, and bem::AdaptConst3d000< F >.

Member Data Documentation

dim_

uint hp1D::hpAdaptiveSpaceL2::dim_

private

Dimension of the FE space.

Definition at line 58 of file hpAdaptiveSpaceL2.hh.

elm_

concepts::Joiner<BaseElement<Real>*, 1>* hp1D::hpAdaptiveSpaceL2::elm_

private

Linked list of the elements.

Definition at line 62 of file hpAdaptiveSpaceL2.hh.

nelm_

uint hp1D::hpAdaptiveSpaceL2::nelm_

private

Number of elements currently active in the mesh.

Definition at line 60 of file hpAdaptiveSpaceL2.hh.

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

• hp1D/hpAdaptiveSpaceL2.hh