00001 /* @HEADER@ */ 00002 // ************************************************************************ 00003 // 00004 // Sundance 00005 // Copyright 2011 Sandia Corporation 00006 // 00007 // Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation, 00008 // the U.S. Government retains certain rights in this software. 00009 // 00010 // Redistribution and use in source and binary forms, with or without 00011 // modification, are permitted provided that the following conditions are 00012 // met: 00013 // 00014 // 1. Redistributions of source code must retain the above copyright 00015 // notice, this list of conditions and the following disclaimer. 00016 // 00017 // 2. Redistributions in binary form must reproduce the above copyright 00018 // notice, this list of conditions and the following disclaimer in the 00019 // documentation and/or other materials provided with the distribution. 00020 // 00021 // 3. Neither the name of the Corporation nor the names of the 00022 // contributors may be used to endorse or promote products derived from 00023 // this software without specific prior written permission. 00024 // 00025 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY 00026 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 00027 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 00028 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE 00029 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, 00030 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 00031 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 00032 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF 00033 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING 00034 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 00035 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 00036 // 00037 // Questions? Contact Kevin Long (kevin.long@ttu.edu) 00038 // 00039 00040 /* @HEADER@ */ 00041 00042 #ifndef SUNDANCE_FUNCTIONALDERIVATIVE_H 00043 #define SUNDANCE_FUNCTIONALDERIVATIVE_H 00044 00045 #include "SundanceDefs.hpp" 00046 #include "SundanceExpr.hpp" 00047 00048 00049 namespace Sundance 00050 { 00051 using namespace Sundance; 00052 00053 using namespace Teuchos; 00054 00055 /** 00056 * \relates Expr 00057 * 00058 * Returns an expression that evaluates the functional derivative 00059 * \f$ \frac{\partial F}{\partial u}.\f$ The functional derivatives 00060 * are evaluated internally using automatic differentiation. 00061 * 00062 * Because functional derivatives required for linearization and optimization 00063 * are already done internally, it is unusual for explicit functional 00064 * derivatives to be needed at the user level. One case where they are needed 00065 * is in SUPG stabilization of conservation laws. 00066 * 00067 * \param F any evaluatable expression, possibly list-valued 00068 * 00069 * \param u an unknown function or list of unknown functions 00070 */ 00071 Expr FunctionalDerivative(const Expr& F, const Expr& u); 00072 00073 } 00074 00075 #endif