Abstract base class for triangular elements in 2D DGFEM. More...

#include <triangle.hh>

Inheritance diagram for linDG2D::Triangle:
linearFEM::Element concepts::ElementWithCell< Real > linDG2D::TriangleP0 linDG2D::TriangleP1

Public Types

typedef Real type
 

Public Member Functions

virtual const concepts::Triangle2dcell () const
 Returns the underlying geometrical triangle. More...
 
virtual const Cell & cell () const=0
 Returns the cell on which the element is built. More...
 
Real3d elemMap (const Real coord_local) const
 
Real3d elemMap (const Real2d &coord_local) const
 
Real3d elemMap (const Real3d &coord_local) const
 
virtual const concepts::ElementGraphics< Real > * graphics () const
 Returns the element graphics object. More...
 
virtual Real shapeFct (const uint i, const Real xi1, const Real xi2) const =0
 Computes the value of the ith shape function in the point (xi1, xi2). More...
 
virtual Real solution (const concepts::Vector< Real > &coeffs, const Real xi1, const Real xi2) const =0
 Returns the value of a mesh function within this element. More...
 
virtual const concepts::Trianglesupport () const
 Returns the topological triangle supporting the element. More...
 
virtual const concepts::TMatrixBase< Real > & T () const
 Returns the T matrix of this element. More...
 
virtual const TMatrixBase< Real > & T () const=0
 Returns the T matrix of the element. More...
 
 Triangle (const concepts::Triangle2d &cell, uint nDoF, uint idx[])
 Constructor. More...
 

Protected Member Functions

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

Protected Attributes

std::unique_ptr< concepts::TMatrixBase< Real > > T_
 T matrix of this element. More...
 

Private Attributes

const concepts::Triangle2dcell_
 Cell under this element. More...
 

Static Private Attributes

static std::unique_ptr< TriangleGraphicsgraphics_
 Graphics object of this element. More...
 

Detailed Description

Abstract base class for triangular elements in 2D DGFEM.

Author
Christoph Winkelmann, 2003

Definition at line 30 of file triangle.hh.

Member Typedef Documentation

◆ type

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

Definition at line 81 of file element.hh.

Constructor & Destructor Documentation

◆ Triangle()

linDG2D::Triangle::Triangle ( const concepts::Triangle2d cell,
uint  nDoF,
uint  idx[] 
)
inline

Constructor.

Creates a T matrix out of idx.

See also
concepts::TIndex
Parameters
cellCell of the element
nDoFNumber of degrees of freedom per element
idxDescribes the map local / global dof

Definition at line 38 of file triangle.hh.

Member Function Documentation

◆ cell() [1/2]

virtual const concepts::Triangle2d& linDG2D::Triangle::cell ( ) const
inlinevirtual

Returns the underlying geometrical triangle.

Implements linearFEM::Element.

Definition at line 45 of file triangle.hh.

◆ cell() [2/2]

virtual const Cell& concepts::ElementWithCell< Real >::cell ( ) const
pure virtualinherited

Returns the cell on which the element is built.

Implemented in hp3D::Element< Real >, hp2D::Element< Real >, and hp1D::BaseElement< Real >.

◆ elemMap() [1/3]

Real3d concepts::ElementWithCell< Real >::elemMap ( const Real  coord_local) const
inlineinherited

Definition at line 86 of file element.hh.

◆ elemMap() [2/3]

Real3d concepts::ElementWithCell< Real >::elemMap ( const Real2d coord_local) const
inlineinherited

Definition at line 90 of file element.hh.

◆ elemMap() [3/3]

Real3d concepts::ElementWithCell< Real >::elemMap ( const Real3d coord_local) const
inlineinherited

Definition at line 94 of file element.hh.

◆ graphics()

virtual const concepts::ElementGraphics<Real>* linDG2D::Triangle::graphics ( ) const
virtual

Returns the element graphics object.

◆ info()

virtual std::ostream& linDG2D::Triangle::info ( std::ostream &  os) const
protectedvirtual

Reimplemented in linDG2D::TriangleP0, and linDG2D::TriangleP1.

◆ shapeFct()

virtual Real linDG2D::Triangle::shapeFct ( const uint  i,
const Real  xi1,
const Real  xi2 
) const
pure virtual

Computes the value of the ith shape function in the point (xi1, xi2).

Precondition
xi1, xi2 >= 0 and xi2 <= xi1 <= 1
Parameters
iIndex of the shape fct. (0, 1, 2)
xi1First coordinate
xi2Second coordinate

Implemented in linDG2D::TriangleP0, and linDG2D::TriangleP1.

◆ solution()

virtual Real linDG2D::Triangle::solution ( const concepts::Vector< Real > &  coeffs,
const Real  xi1,
const Real  xi2 
) const
pure virtual

Returns the value of a mesh function within this element.

Parameters
coeffsVector of coefficients representing the mesh function
xi1first reference element coordinate, in [0,1]
xi2second reference element coordinate, in [0,xi1]

Implemented in linDG2D::TriangleP0, and linDG2D::TriangleP1.

◆ support()

virtual const concepts::Triangle& linDG2D::Triangle::support ( ) const
inlinevirtual

Returns the topological triangle supporting the element.

Implements linearFEM::Element.

Definition at line 41 of file triangle.hh.

◆ T() [1/2]

virtual const concepts::TMatrixBase<Real>& linearFEM::Element::T ( ) const
inlinevirtualinherited

Returns the T matrix of this element.

Definition at line 47 of file element.hh.

◆ T() [2/2]

virtual const TMatrixBase<Real >& concepts::ElementWithCell< Real >::T ( ) const
pure virtualinherited

Returns the T matrix of the element.

Implemented in hp3D::Element< Real >, and hp2D::Element< Real >.

Member Data Documentation

◆ cell_

const concepts::Triangle2d& linDG2D::Triangle::cell_
private

Cell under this element.

Definition at line 67 of file triangle.hh.

◆ graphics_

std::unique_ptr<TriangleGraphics> linDG2D::Triangle::graphics_
staticprivate

Graphics object of this element.

Definition at line 69 of file triangle.hh.

◆ T_

std::unique_ptr<concepts::TMatrixBase<Real> > linearFEM::Element::T_
protectedinherited

T matrix of this element.

Definition at line 50 of file element.hh.


The documentation for this class was generated from the following file:
Page URL: http://wiki.math.ethz.ch/bin/view/Concepts/WebHome
21 August 2020
© 2020 Eidgenössische Technische Hochschule Zürich