Class documentation of Concepts

Loading...
Searching...
No Matches

#include <hpAdaptiveSpaceL2.hh>

Inheritance diagram for hp1D::hpAdaptiveSpaceL2:
concepts::SpaceOnCells< concepts::Real > concepts::Space< F > concepts::OutputOperator

Public Types

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

Public Member Functions

 hpAdaptiveSpaceL2 (concepts::Mesh1 &msh, uint p)
 
uint dim () const override
 Returns the dimension of the space.
 
uint nelm () const override
 Returns the number of elements in the space.
 
Scan * scan () const override
 Returns a scanner to iterate over the elements of the space.
 
void recomputeShapefunctions ()
 
virtual uint getOutputDimension () const
 Returns the default output dimension, when we consider plotting a real-valued operator on this space.
 

Protected Member Functions

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

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

$ (p,q)_{L^2(a,b)} = (b-a)^{-1}\int\limits_{a}^{b} p(x)q(x) \mathrm{d}x $.

Author
Robert Gruhlke, 2016

Definition at line 27 of file hpAdaptiveSpaceL2.hh.

Member Typedef Documentation

◆ Scan

◆ 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
mshThe mesh consisting of a single edge element.
pDegree of the polynomials to be used.

Member Function Documentation

◆ dim()

uint hp1D::hpAdaptiveSpaceL2::dim ( ) const
inlineoverridevirtual

Returns the dimension of the space.

Implements concepts::SpaceOnCells< concepts::Real >.

Definition at line 38 of file hpAdaptiveSpaceL2.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.

Reimplemented in hp2D::hpAdaptiveSpaceHCurl, and hp2Dedge::Space.

Definition at line 50 of file space.hh.

◆ info()

virtual std::ostream & hp1D::hpAdaptiveSpaceL2::info ( std::ostream &  os) const
overrideprotectedvirtual

Returns information in an output stream.

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

◆ nelm()

uint hp1D::hpAdaptiveSpaceL2::nelm ( ) const
inlineoverridevirtual

Returns the number of elements in the space.

Implements concepts::SpaceOnCells< concepts::Real >.

Definition at line 42 of file hpAdaptiveSpaceL2.hh.

◆ recomputeShapefunctions()

void hp1D::hpAdaptiveSpaceL2::recomputeShapefunctions ( )

Recompute shape functions, e.g. for other abscissas redefined through IntegrableElm::rule().set(...)

◆ scan()

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

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

Implements concepts::SpaceOnCells< concepts::Real >.

Definition at line 46 of file hpAdaptiveSpaceL2.hh.


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