00001 /* @HEADER@ */ 00002 // ************************************************************************ 00003 // 00004 // Sundance 00005 // Copyright (2005) Sandia Corporation 00006 // 00007 // Copyright (year first published) Sandia Corporation. Under the terms 00008 // of Contract DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government 00009 // retains certain rights in this software. 00010 // 00011 // This library is free software; you can redistribute it and/or modify 00012 // it under the terms of the GNU Lesser General Public License as 00013 // published by the Free Software Foundation; either version 2.1 of the 00014 // License, or (at your option) any later version. 00015 // 00016 // This library is distributed in the hope that it will be useful, but 00017 // WITHOUT ANY WARRANTY; without even the implied warranty of 00018 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 00019 // Lesser General Public License for more details. 00020 // 00021 // You should have received a copy of the GNU Lesser General Public 00022 // License along with this library; if not, write to the Free Software 00023 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 00024 // USA 00025 // Questions? Contact Kevin Long (krlong@sandia.gov), 00026 // Sandia National Laboratories, Livermore, California, USA 00027 // 00028 // ************************************************************************ 00029 /* @HEADER@ */ 00030 00031 #ifndef SUNDANCE_FUNCTIONALDERIVATIVE_H 00032 #define SUNDANCE_FUNCTIONALDERIVATIVE_H 00033 00034 #include "SundanceDefs.hpp" 00035 #include "SundanceExpr.hpp" 00036 00037 00038 namespace Sundance 00039 { 00040 using namespace Sundance; 00041 00042 using namespace Teuchos; 00043 00044 /** 00045 * \relates Expr 00046 * 00047 * Returns an expression that evaluates the functional derivative 00048 * \f$ \frac{\partial F}{\partial u}.\f$ The functional derivatives 00049 * are evaluated internally using automatic differentiation. 00050 * 00051 * Because functional derivatives required for linearization and optimization 00052 * are already done internally, it is unusual for explicit functional 00053 * derivatives to be needed at the user level. One case where they are needed 00054 * is in SUPG stabilization of conservation laws. 00055 * 00056 * \param F any evaluatable expression, possibly list-valued 00057 * 00058 * \param u an unknown function or list of unknown functions 00059 */ 00060 Expr FunctionalDerivative(const Expr& F, const Expr& u); 00061 00062 } 00063 00064 #endif