LinearBasisFunction.hpp

00001 /*
00002 
00003 Copyright (C) University of Oxford, 2005-2010
00004 
00005 University of Oxford means the Chancellor, Masters and Scholars of the
00006 University of Oxford, having an administrative office at Wellington
00007 Square, Oxford OX1 2JD, UK.
00008 
00009 This file is part of Chaste.
00010 
00011 Chaste is free software: you can redistribute it and/or modify it
00012 under the terms of the GNU Lesser General Public License as published
00013 by the Free Software Foundation, either version 2.1 of the License, or
00014 (at your option) any later version.
00015 
00016 Chaste is distributed in the hope that it will be useful, but WITHOUT
00017 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
00018 FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
00019 License for more details. The offer of Chaste under the terms of the
00020 License is subject to the License being interpreted in accordance with
00021 English Law and subject to any action against the University of Oxford
00022 being under the jurisdiction of the English Courts.
00023 
00024 You should have received a copy of the GNU Lesser General Public License
00025 along with Chaste. If not, see <http://www.gnu.org/licenses/>.
00026 
00027 */
00028 #ifndef _LINEARBASISFUNCTION_HPP_
00029 #define _LINEARBASISFUNCTION_HPP_
00030 
00031 #include "ChastePoint.hpp"
00032 
00033 
00038 template <unsigned ELEMENT_DIM>
00039 class LinearBasisFunction
00040 {
00041 public:
00042 
00052     static double ComputeBasisFunction(const ChastePoint<ELEMENT_DIM>& rPoint, unsigned basisIndex);
00053 
00066     static c_vector<double, ELEMENT_DIM> ComputeBasisFunctionDerivative(const ChastePoint<ELEMENT_DIM>& rPoint, unsigned basisIndex);
00067 
00068     static void ComputeBasisFunctions(const ChastePoint<ELEMENT_DIM>& rPoint, c_vector<double, ELEMENT_DIM+1>& rReturnValue);
00069     static void ComputeBasisFunctionDerivatives(const ChastePoint<ELEMENT_DIM>& rPoint,
00070                                                 c_matrix<double, ELEMENT_DIM, ELEMENT_DIM+1>& rReturnValue);
00071 
00072     static void ComputeTransformedBasisFunctionDerivatives(const ChastePoint<ELEMENT_DIM>& rPoint,
00073                                                            const c_matrix<double, ELEMENT_DIM, ELEMENT_DIM>& rInverseJacobian,
00074                                                            c_matrix<double, ELEMENT_DIM, ELEMENT_DIM+1>& rReturnValue);
00075 };
00076 
00080 template <>
00081 class LinearBasisFunction<0>
00082 {
00083 public:
00084     static double ComputeBasisFunction(const ChastePoint<0>& rPoint, unsigned basisIndex);
00085     static void ComputeBasisFunctions(const ChastePoint<0>& rPoint,c_vector<double,1>& rReturnValue);
00086 };
00087 
00088 
00089 #endif //_LINEARBASISFUNCTION_HPP_