SundanceFunctionalDerivative.hpp
Go to the documentation of this file.
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

Site Contact