mapping.hh File Reference

Class Mapping calculates data related to the mapping of the reference cell to the actual cell, such as Jacobian and normal vectors. More...

#include <armadillo>
#include <vector>
#include "fem/dofhandler.hh"
#include "mesh/side_impl.hh"
#include "fem/update_flags.hh"
#include "mesh/ref_element.hh"

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Classes
class	Quadrature< dim >
	Base class for quadrature rules on simplices in arbitrary dimensions. More...
class	FEValuesData< dim, spacedim >
	Class FEValuesData holds the arrays of data computed by Mapping and FiniteElement. More...
class	MappingInternalData
	Mapping data that can be precomputed on the actual cell. More...
class	Mapping< dim, spacedim >
	Abstract class for the mapping between reference and actual cell. More...

Functions
template<class T >
double	determinant (const T &M)
	Calculates determinant of a rectangular matrix. More...
template<>
double	determinant (const arma::mat::fixed< 1, 2 > &M)
template<>
double	determinant (const arma::mat::fixed< 2, 1 > &M)
template<>
double	determinant (const arma::mat::fixed< 0, 3 > &M)
template<>
double	determinant (const arma::mat::fixed< 3, 0 > &M)
template<>
double	determinant (const arma::mat::fixed< 1, 3 > &M)
template<>
double	determinant (const arma::mat::fixed< 3, 1 > &M)
template<>
double	determinant (const arma::mat::fixed< 2, 3 > &M)
template<>
double	determinant (const arma::mat::fixed< 3, 2 > &M)
template<arma::uword n>
double	determinant (const arma::mat::fixed< n, n > &M)

Detailed Description

Class Mapping calculates data related to the mapping of the reference cell to the actual cell, such as Jacobian and normal vectors.

 * Copyright (C) 2015 Technical University of Liberec. All rights reserved.

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License version 3 as published by the Free Software Foundation. (http://www.gnu.org/licenses/gpl-3.0.en.html)

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

Author

Jan Stebel

Definition in file mapping.hh.

Function Documentation

template<class T >

double determinant

(

const T &

M

)

Calculates determinant of a rectangular matrix.

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template<>

double determinant ( const arma::mat::fixed< 1, 2 > &  M )

inline

Definition at line 46 of file mapping.hh.

template<>

double determinant ( const arma::mat::fixed< 2, 1 > &  M )

inline

Definition at line 51 of file mapping.hh.

template<>

double determinant ( const arma::mat::fixed< 0, 3 > &  M )

inline

Definition at line 56 of file mapping.hh.

template<>

double determinant ( const arma::mat::fixed< 3, 0 > &  M )

inline

Definition at line 61 of file mapping.hh.

template<>

double determinant ( const arma::mat::fixed< 1, 3 > &  M )

inline

Definition at line 66 of file mapping.hh.

template<>

double determinant ( const arma::mat::fixed< 3, 1 > &  M )

inline

Definition at line 71 of file mapping.hh.

template<>

double determinant ( const arma::mat::fixed< 2, 3 > &  M )

inline

Definition at line 76 of file mapping.hh.

template<>

double determinant ( const arma::mat::fixed< 3, 2 > &  M )

inline

Definition at line 82 of file mapping.hh.

template<arma::uword n>

double determinant ( const arma::mat::fixed< n, n > &  M )

inline

Definition at line 88 of file mapping.hh.