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Abstract class for description of finite elements. More...
#include <armadillo>
#include <stdio.h>
#include <string.h>
#include <algorithm>
#include <new>
#include <ostream>
#include <string>
#include <vector>
#include "fem/update_flags.hh"
#include "system/exceptions.hh"
Go to the source code of this file.
Classes | |
class | Dof |
class | FunctionSpace |
class | FiniteElement< dim > |
Abstract class for the description of a general finite element on a reference simplex in dim dimensions. More... | |
Enumerations | |
enum | DofType { Value = 1 } |
enum | FEType { FEScalar = 0 , FEVector = 1 , FEVectorContravariant = 2 , FEVectorPiola = 3 , FETensor = 4 , FEMixedSystem = 5 } |
Abstract class for description of finite elements.
* 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.
Definition in file finite_element.hh.
enum DofType |
Enumerator | |
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Value |
Definition at line 43 of file finite_element.hh.
enum FEType |
Types of FiniteElement: scalar, vector-valued, tensor-valued or mixed system.
The type also indicates how the shape functions and their gradients are transformed from reference element to arbitrary element. In particular:
TYPE OBJECT EXPRESSION
FEScalar, FEVector, value ref_value
FEVectorContravariant value J * ref_value
FEVectorPiola value J * ref_value / |J|
FEMixedSystem value depends on sub-elements grad depends on sub-elements
The transformation itself is done in FEValuesBase::fill_..._data() methods.
Note that we use columnwise gradients, i.e. gradient of each component is a column vector.
Enumerator | |
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FEScalar | |
FEVector | |
FEVectorContravariant | |
FEVectorPiola | |
FETensor | |
FEMixedSystem |
Definition at line 199 of file finite_element.hh.