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_FEKETEQUADQUADRATURE_H 00043 #define SUNDANCE_FEKETEQUADQUADRATURE_H 00044 00045 #include "SundanceDefs.hpp" 00046 #include "Teuchos_Array.hpp" 00047 00048 namespace Sundance 00049 { 00050 using namespace Teuchos; 00051 /** 00052 * Get abscissas and weights for Gauss-Lobatto quadrature on quadrilateral 00053 * (Gauss-Lobatto points are Fekete points on tensor elements) 00054 */ 00055 00056 class FeketeQuadQuadrature 00057 { 00058 public: 00059 static void getPoints(int order, Array<double>& wgt, 00060 Array<double>& x, 00061 Array<double>& y); 00062 00063 static void computeBasisCoeffs(const int order, 00064 Array<double>& basisCoeffs); 00065 00066 static void evalPolynomials(int nPts, double x, 00067 double y, double* resultPtr); 00068 00069 static bool test(int p); 00070 00071 00072 private: 00073 00074 static double exact(int a, int b); 00075 00076 }; 00077 } 00078 00079 00080 #endif