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Intrepid
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00001 // @HEADER 00002 // ************************************************************************ 00003 // 00004 // Intrepid Package 00005 // Copyright (2007) Sandia Corporation 00006 // 00007 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive 00008 // license for use of this work by or on behalf of the U.S. Government. 00009 // 00010 // This library is free software; you can redistribute it and/or modify 00011 // it under the terms of the GNU Lesser General Public License as 00012 // published by the Free Software Foundation; either version 2.1 of the 00013 // License, or (at your option) any later version. 00014 // 00015 // This library is distributed in the hope that it will be useful, but 00016 // WITHOUT ANY WARRANTY; without even the implied warranty of 00017 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 00018 // Lesser General Public License for more details. 00019 // 00020 // You should have received a copy of the GNU Lesser General Public 00021 // License along with this library; if not, write to the Free Software 00022 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 00023 // USA 00024 // Questions? Contact Pavel Bochev (pbboche@sandia.gov) or 00025 // Denis Ridzal (dridzal@sandia.gov). 00026 // 00027 // ************************************************************************ 00028 // @HEADER 00029 00035 namespace Intrepid { 00036 00037 template <class Scalar, class ArrayPoint, class ArrayWeight> 00038 CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::CubatureDirectTetDefault(const int degree) { 00039 this->degree_ = degree; 00040 this->dimension_ = 3; 00041 TEST_FOR_EXCEPTION((degree < 0) || (degree > INTREPID_CUBATURE_TET_DEFAULT_MAX_ENUM), 00042 std::out_of_range, 00043 ">>> ERROR (CubatureDirectTetDefault): No direct cubature rule implemented for the desired polynomial degree."); 00044 } // end constructor 00045 00046 00047 00048 template <class Scalar, class ArrayPoint, class ArrayWeight> 00049 const CubatureTemplate * CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::exposeCubatureData() const { 00050 return cubature_data_; 00051 } 00052 00053 00054 00055 template <class Scalar, class ArrayPoint, class ArrayWeight> 00056 int CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::getMaxAccuracy() const { 00057 return INTREPID_CUBATURE_TET_DEFAULT_MAX_ENUM; 00058 } 00059 00060 00061 00062 template <class Scalar, class ArrayPoint, class ArrayWeight> 00063 const char* CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::getName() const { 00064 return cubature_name_; 00065 } // end getName 00066 00067 00068 00069 template <class Scalar, class ArrayPoint, class ArrayWeight> 00070 const char* CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_name_ = "INTREPID_CUBATURE_TET_DEFAULT"; 00071 00072 00073 //-------------------------------------------------------------------------------------// 00074 // Definition of cubature templates // 00075 //-------------------------------------------------------------------------------------// 00076 00077 /* 00078 Cubature templates for lines are defined the reference Tetrahedron: 00079 00080 Tetrahedron -> (0,0,0), (1,0,0), (0,1,0), (0,0,1) 00081 */ 00082 00083 /* 00084 This static const member contains templates for default tetrahedron rules. 00085 */ 00086 00087 template <class Scalar, class ArrayPoint, class ArrayWeight> 00088 const CubatureTemplate CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_data_[INTREPID_CUBATURE_TET_DEFAULT_MAX_ENUM+1] = 00089 { 00090 // Cubature templates for the reference tet {(0,0,0), (1,0,0), (0,1,0), (0,0,1)} 00091 // 00092 { 00093 1, 00094 {{1./4., 1./4., 1./4.}}, 00095 {1./6.} 00096 }, 00097 { 00098 1, 00099 {{1./4., 1./4., 1./4.}}, 00100 {1./6.} 00101 }, 00102 { 00103 4, 00104 {{0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280}, 00105 {0.5854101966249684544613760503096914353161, 0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280}, 00106 {0.1381966011250105151795413165634361882280, 0.5854101966249684544613760503096914353161, 0.1381966011250105151795413165634361882280}, 00107 {0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280, 0.5854101966249684544613760503096914353161}}, 00108 {1./24., 00109 1./24., 00110 1./24., 00111 1./24.} 00112 }, 00113 { 00114 5, 00115 {{1./4., 1./4., 1./4.}, 00116 {1./6., 1./6., 1./6.}, 00117 {1./6., 1./6., 1./2.}, 00118 {1./6., 1./2., 1./6.}, 00119 {1./2., 1./6., 1./6.}}, 00120 {-2./15., 00121 3./40., 00122 3./40., 00123 3./40., 00124 3./40.} 00125 }, 00126 { 00127 11, 00128 {{2.50000000000000e-01, 2.50000000000000e-01, 2.50000000000000e-01}, 00129 {7.14285714285715e-02, 7.14285714285715e-02, 7.14285714285715e-02}, 00130 {7.14285714285715e-02, 7.14285714285715e-02, 7.85714285714285e-01}, 00131 {7.14285714285715e-02, 7.85714285714285e-01, 7.14285714285715e-02}, 00132 {7.85714285714285e-01, 7.14285714285715e-02, 7.14285714285715e-02}, 00133 {3.99403576166799e-01, 3.99403576166799e-01, 1.00596423833201e-01}, 00134 {3.99403576166799e-01, 1.00596423833201e-01, 3.99403576166799e-01}, 00135 {1.00596423833201e-01, 3.99403576166799e-01, 3.99403576166799e-01}, 00136 {3.99403576166799e-01, 1.00596423833201e-01, 1.00596423833201e-01}, 00137 {1.00596423833201e-01, 3.99403576166799e-01, 1.00596423833201e-01}, 00138 {1.00596423833201e-01, 1.00596423833201e-01, 3.99403576166799e-01}}, 00139 {-1.31555555555555e-02, 00140 7.62222222222225e-03, 00141 7.62222222222225e-03, 00142 7.62222222222225e-03, 00143 7.62222222222225e-03, 00144 2.48888888888889e-02, 00145 2.48888888888889e-02, 00146 2.48888888888889e-02, 00147 2.48888888888889e-02, 00148 2.48888888888889e-02, 00149 2.48888888888889e-02} 00150 }, 00151 { 00152 14, 00153 {{9.2735250310891226402323913737030605245203e-2, 9.2735250310891226402323913737030605245203e-2, 9.2735250310891226402323913737030605245203e-2}, 00154 {7.2179424906732632079302825878890818426439e-1, 9.2735250310891226402323913737030605245203e-2, 9.2735250310891226402323913737030605245203e-2}, 00155 {9.2735250310891226402323913737030605245203e-2, 7.2179424906732632079302825878890818426439e-1, 9.2735250310891226402323913737030605245203e-2}, 00156 {9.2735250310891226402323913737030605245203e-2, 9.2735250310891226402323913737030605245203e-2, 7.2179424906732632079302825878890818426439e-1}, 00157 {3.1088591926330060979734573376345783299262e-1, 3.1088591926330060979734573376345783299262e-1, 3.1088591926330060979734573376345783299262e-1}, 00158 {6.7342242210098170607962798709626501022148e-2, 3.1088591926330060979734573376345783299262e-1, 3.1088591926330060979734573376345783299262e-1}, 00159 {3.1088591926330060979734573376345783299262e-1, 6.7342242210098170607962798709626501022148e-2, 3.1088591926330060979734573376345783299262e-1}, 00160 {3.1088591926330060979734573376345783299262e-1, 3.1088591926330060979734573376345783299262e-1, 6.7342242210098170607962798709626501022148e-2}, 00161 {4.5503704125649637643858844819262773124457e-2, 4.5503704125649637643858844819262773124457e-2, 4.5449629587435036235614115518073722687554e-1}, 00162 {4.5503704125649689297853203692977039634167e-2, 4.5449629587435031070214679630702296036583e-1, 4.5503704125649637643858844819262773124457e-2}, 00163 {4.5449629587435031070214679630702296036583e-1, 4.5503704125649689297853203692977039634167e-2, 4.5503704125649637643858844819262773124457e-2}, 00164 {4.5503704125649689297853203692977039634167e-2, 4.5449629587435031070214679630702296036583e-1, 4.5449629587435036235614115518073722687554e-1}, 00165 {4.5449629587435031070214679630702296036583e-1, 4.5503704125649689297853203692977039634167e-2, 4.5449629587435036235614115518073722687554e-1}, 00166 {4.5449629587435036235614115518073722687554e-1, 4.5449629587435036235614115518073722687554e-1, 4.5503704125649637643858844819262773124457e-2}}, 00167 {1.2248840519393658257285034247721250587182e-2, 00168 1.2248840519393658257285034247721250587182e-2, 00169 1.2248840519393658257285034247721250587182e-2, 00170 1.2248840519393658257285034247721250587182e-2, 00171 1.8781320953002641799864275388881055635078e-2, 00172 1.8781320953002641799864275388881055635078e-2, 00173 1.8781320953002641799864275388881055635078e-2, 00174 1.8781320953002641799864275388881055635078e-2, 00175 7.0910034628469110730115713533762402962712e-3, 00176 7.0910034628469110730115713533762402962712e-3, 00177 7.0910034628469110730115713533762402962712e-3, 00178 7.0910034628469110730115713533762402962712e-3, 00179 7.0910034628469110730115713533762402962712e-3, 00180 7.0910034628469110730115713533762402962712e-3} 00181 }, 00182 { 00183 24, 00184 {{2.1460287125915202404641618104947039637455e-1, 2.1460287125915202404641618104947039637455e-1, 2.1460287125915202404641618104947039637455e-1}, 00185 {3.5619138622254392786075145685158881087635e-1, 2.1460287125915202404641618104947039637455e-1, 2.1460287125915202404641618104947039637455e-1}, 00186 {2.1460287125915202404641618104947039637455e-1, 3.5619138622254392786075145685158881087635e-1, 2.1460287125915202404641618104947039637455e-1}, 00187 {2.1460287125915202404641618104947039637455e-1, 2.1460287125915202404641618104947039637455e-1, 3.5619138622254392786075145685158881087635e-1}, 00188 {3.2233789014227551528749363980198720305472e-1, 3.2233789014227551528749363980198720305472e-1, 3.2233789014227551528749363980198720305472e-1}, 00189 {3.2986329573173454137519080594038390835837e-2, 3.2233789014227551528749363980198720305472e-1, 3.2233789014227551528749363980198720305472e-1}, 00190 {3.2233789014227551528749363980198720305472e-1, 3.2986329573173454137519080594038390835837e-2, 3.2233789014227551528749363980198720305472e-1}, 00191 {3.2233789014227551528749363980198720305472e-1, 3.2233789014227551528749363980198720305472e-1, 3.2986329573173454137519080594038390835837e-2}, 00192 {4.0673958534611354036686370754218389288312e-2, 4.0673958534611354036686370754218389288312e-2, 4.0673958534611354036686370754218389288312e-2}, 00193 {8.7797812439616593788994088773734483213506e-1, 4.0673958534611354036686370754218389288312e-2, 4.0673958534611354036686370754218389288312e-2}, 00194 {4.0673958534611354036686370754218389288312e-2, 8.7797812439616593788994088773734483213506e-1, 4.0673958534611354036686370754218389288312e-2}, 00195 {4.0673958534611354036686370754218389288312e-2, 4.0673958534611354036686370754218389288312e-2, 8.7797812439616593788994088773734483213506e-1}, 00196 {6.3661001875017529993415628745574107721625e-2, 6.3661001875017529993415628745574107721625e-2, 2.6967233145831579864573760344791209827003e-1}, 00197 {6.3661001875017541929214705659242736905843e-2, 2.6967233145831578670993852653424346908581e-1, 6.3661001875017529993415628745574107721625e-2}, 00198 {2.6967233145831578670993852653424346908581e-1, 6.3661001875017541929214705659242736905843e-2, 6.3661001875017529993415628745574107721625e-2}, 00199 {6.3661001875017533122869029505472299577799e-2, 6.0300566479164914449688453982083787814289e-1, 2.6967233145831580177519100420781029012621e-1}, 00200 {6.0300566479164914449688453982083787814289e-1, 6.3661001875017533122869029505472299577799e-2, 2.6967233145831580177519100420781029012621e-1}, 00201 {6.3661001875017545058668106419140928762018e-2, 2.6967233145831578983939192729414166094199e-1, 6.0300566479164914449688453982083787814289e-1}, 00202 {2.6967233145831578983939192729414166094199e-1, 6.3661001875017545058668106419140928762018e-2, 6.0300566479164914449688453982083787814289e-1}, 00203 {6.0300566479164914449688453982083787814289e-1, 2.6967233145831580177519100420781029012621e-1, 6.3661001875017533122869029505472299577799e-2}, 00204 {2.6967233145831580177519100420781029012621e-1, 6.0300566479164914449688453982083787814289e-1, 6.3661001875017533122869029505472299577799e-2}, 00205 {6.0300566479164913510852433754114330257437e-1, 6.3661001875017523734508827225777724009276e-2, 6.3661001875017523734508827225777724009276e-2}, 00206 {6.3661001875017523734508827225777724009276e-2, 6.0300566479164913510852433754114330257437e-1, 6.3661001875017523734508827225777724009276e-2}, 00207 {6.3661001875017523734508827225777724009276e-2, 6.3661001875017523734508827225777724009276e-2, 6.0300566479164913510852433754114330257437e-1}}, 00208 {6.6537917096945836907319255002212225177840e-3, 00209 6.6537917096945836907319255002212225177840e-3, 00210 6.6537917096945836907319255002212225177840e-3, 00211 6.6537917096945836907319255002212225177840e-3, 00212 9.2261969239424523160433682126100883383192e-3, 00213 9.2261969239424523160433682126100883383192e-3, 00214 9.2261969239424523160433682126100883383192e-3, 00215 9.2261969239424523160433682126100883383192e-3, 00216 1.6795351758867738832382653285812235376638e-3, 00217 1.6795351758867738832382653285812235376638e-3, 00218 1.6795351758867738832382653285812235376638e-3, 00219 1.6795351758867738832382653285812235376638e-3, 00220 8.0357142857142855922177025417513774242999e-3, 00221 8.0357142857142855922177025417513774242999e-3, 00222 8.0357142857142855922177025417513774242999e-3, 00223 8.0357142857142855922177025417513774242999e-3, 00224 8.0357142857142855922177025417513774242999e-3, 00225 8.0357142857142855922177025417513774242999e-3, 00226 8.0357142857142855922177025417513774242999e-3, 00227 8.0357142857142855922177025417513774242999e-3, 00228 8.0357142857142855922177025417513774242999e-3, 00229 8.0357142857142855922177025417513774242999e-3, 00230 8.0357142857142855922177025417513774242999e-3, 00231 8.0357142857142855922177025417513774242999e-3} 00232 }, 00233 { 00234 31, 00235 {{5.00000000000000e-01, 5.00000000000000e-01, 0.00000000000000e+00}, 00236 {5.00000000000000e-01, 0.00000000000000e+00, 5.00000000000000e-01}, 00237 {0.00000000000000e+00, 5.00000000000000e-01, 5.00000000000000e-01}, 00238 {0.00000000000000e+00, 0.00000000000000e+00, 5.00000000000000e-01}, 00239 {0.00000000000000e+00, 5.00000000000000e-01, 0.00000000000000e+00}, 00240 {5.00000000000000e-01, 0.00000000000000e+00, 0.00000000000000e+00}, 00241 {2.50000000000000e-01, 2.50000000000000e-01, 2.50000000000000e-01}, 00242 {7.82131923303180e-02, 7.82131923303180e-02, 7.82131923303180e-02}, 00243 {7.82131923303180e-02, 7.82131923303180e-02, 7.65360423009046e-01}, 00244 {7.82131923303180e-02, 7.65360423009046e-01, 7.82131923303180e-02}, 00245 {7.65360423009046e-01, 7.82131923303180e-02, 7.82131923303180e-02}, 00246 {1.21843216663905e-01, 1.21843216663905e-01, 1.21843216663905e-01}, 00247 {1.21843216663905e-01, 1.21843216663905e-01, 6.34470350008284e-01}, 00248 {1.21843216663905e-01, 6.34470350008284e-01, 1.21843216663905e-01}, 00249 {6.34470350008284e-01, 1.21843216663905e-01, 1.21843216663905e-01}, 00250 {3.32539164446421e-01, 3.32539164446421e-01, 3.32539164446421e-01}, 00251 {3.32539164446421e-01, 3.32539164446421e-01, 2.38250666073803e-03}, 00252 {3.32539164446421e-01, 2.38250666073803e-03, 3.32539164446421e-01}, 00253 {2.38250666073803e-03, 3.32539164446421e-01, 3.32539164446421e-01}, 00254 {1.00000000000000e-01, 1.00000000000000e-01, 2.00000000000000e-01}, 00255 {1.00000000000000e-01, 2.00000000000000e-01, 1.00000000000000e-01}, 00256 {1.00000000000000e-01, 1.00000000000000e-01, 6.00000000000000e-01}, 00257 {1.00000000000000e-01, 6.00000000000000e-01, 1.00000000000000e-01}, 00258 {1.00000000000000e-01, 2.00000000000000e-01, 6.00000000000000e-01}, 00259 {1.00000000000000e-01, 6.00000000000000e-01, 2.00000000000000e-01}, 00260 {2.00000000000000e-01, 1.00000000000000e-01, 1.00000000000000e-01}, 00261 {2.00000000000000e-01, 1.00000000000000e-01, 6.00000000000000e-01}, 00262 {2.00000000000000e-01, 6.00000000000000e-01, 1.00000000000000e-01}, 00263 {6.00000000000000e-01, 1.00000000000000e-01, 2.00000000000000e-01}, 00264 {6.00000000000000e-01, 1.00000000000000e-01, 1.00000000000000e-01}, 00265 {6.00000000000000e-01, 2.00000000000000e-01, 1.00000000000000e-01}}, 00266 {9.70017636684250e-04, 00267 9.70017636684250e-04, 00268 9.70017636684250e-04, 00269 9.70017636684250e-04, 00270 9.70017636684250e-04, 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10079 -7.65266969523215e-02, 10080 -7.65266969523215e-02, 10081 -7.65266969523215e-02, 10082 -7.65266969523215e-02, 10083 -7.65266969523215e-02, 10084 -7.65266969523215e-02, 10085 -7.65266969523215e-02, 10086 -7.65266969523215e-02, 10087 -7.65266969523215e-02, 10088 -7.65266969523215e-02, 10089 -7.65266969523215e-02, 10090 -7.65266969523215e-02, 10091 -7.65266969523215e-02, 10092 -7.65266969523215e-02, 10093 -7.65266969523215e-02, 10094 -7.65266969523215e-02, 10095 -7.65266969523215e-02, 10096 -7.65266969523215e-02, 10097 -7.65266969523215e-02, 10098 -7.65266969523215e-02, 10099 -7.65266969523215e-02, 10100 -7.65266969523215e-02, 10101 -7.65266969523215e-02, 10102 -7.65266969523215e-02, 10103 -7.65266969523215e-02, 10104 -7.65266969523215e-02, 10105 -7.65266969523215e-02, 10106 -7.65266969523215e-02, 10107 -7.65266969523215e-02, 10108 -7.65266969523215e-02, 10109 -7.65266969523215e-02, 10110 9.51771589754788e-03, 10111 9.51771589754788e-03, 10112 9.51771589754788e-03, 10113 9.51771589754788e-03, 10114 9.51771589754788e-03, 10115 9.51771589754788e-03, 10116 9.51771589754788e-03, 10117 9.51771589754788e-03, 10118 9.51771589754788e-03, 10119 9.51771589754788e-03, 10120 9.51771589754788e-03, 10121 9.51771589754788e-03, 10122 9.51771589754788e-03, 10123 9.51771589754788e-03, 10124 9.51771589754788e-03, 10125 9.51771589754788e-03, 10126 9.51771589754788e-03, 10127 9.51771589754788e-03, 10128 9.51771589754788e-03, 10129 9.51771589754788e-03, 10130 9.51771589754788e-03, 10131 9.51771589754788e-03, 10132 9.51771589754788e-03, 10133 9.51771589754788e-03, 10134 9.51771589754788e-03, 10135 9.51771589754788e-03, 10136 9.51771589754788e-03, 10137 9.51771589754788e-03, 10138 9.51771589754788e-03, 10139 9.51771589754788e-03, 10140 9.51771589754788e-03, 10141 9.51771589754788e-03, 10142 9.51771589754788e-03, 10143 9.51771589754788e-03, 10144 9.51771589754788e-03, 10145 -5.31987018877625e-04, 10146 -5.31987018877625e-04, 10147 -5.31987018877625e-04, 10148 -5.31987018877625e-04, 10149 -5.31987018877625e-04, 10150 -5.31987018877625e-04, 10151 -5.31987018877625e-04, 10152 -5.31987018877625e-04, 10153 -5.31987018877625e-04, 10154 -5.31987018877625e-04, 10155 -5.31987018877625e-04, 10156 -5.31987018877625e-04, 10157 -5.31987018877625e-04, 10158 -5.31987018877625e-04, 10159 -5.31987018877625e-04, 10160 -5.31987018877625e-04, 10161 -5.31987018877625e-04, 10162 -5.31987018877625e-04, 10163 -5.31987018877625e-04, 10164 -5.31987018877625e-04, 10165 1.04267676620000e-05, 10166 1.04267676620000e-05, 10167 1.04267676620000e-05, 10168 1.04267676620000e-05, 10169 1.04267676620000e-05, 10170 1.04267676620000e-05, 10171 1.04267676620000e-05, 10172 1.04267676620000e-05, 10173 1.04267676620000e-05, 10174 1.04267676620000e-05, 10175 -4.40873201250000e-08, 10176 -4.40873201250000e-08, 10177 -4.40873201250000e-08, 10178 -4.40873201250000e-08, 10179 1.32583750000000e-11} 10180 } // end Tet 10181 10182 }; 10183 10184 } // end namespace Intrepid
1.7.4