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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 CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::CubatureDirectTriDefault(const int degree) { 00039 this->degree_ = degree; 00040 this->dimension_ = 2; 00041 TEST_FOR_EXCEPTION((degree < 0) || (degree > INTREPID_CUBATURE_TRI_DEFAULT_MAX_ENUM), 00042 std::out_of_range, 00043 ">>> ERROR (CubatureDirectTriDefault): 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 * CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::exposeCubatureData() const { 00050 return cubature_data_; 00051 } 00052 00053 00054 00055 template <class Scalar, class ArrayPoint, class ArrayWeight> 00056 int CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::getMaxAccuracy() const { 00057 return INTREPID_CUBATURE_TRI_DEFAULT_MAX_ENUM; 00058 } 00059 00060 00061 00062 template <class Scalar, class ArrayPoint, class ArrayWeight> 00063 const char* CubatureDirectTriDefault<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* CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_name_ = "INTREPID_CUBATURE_TRI_DEFAULT"; 00071 00072 00073 //-------------------------------------------------------------------------------------// 00074 // Definition of cubature templates // 00075 //-------------------------------------------------------------------------------------// 00076 00077 /* 00078 Cubature templates for lines are defined the reference Triangle: 00079 00080 Triangle -> (0,0,0),(1,0,0),(0,1,0) 00081 */ 00082 00083 /* 00084 This static const member contains templates for default triangle rules. 00085 */ 00086 00087 template <class Scalar, class ArrayPoint, class ArrayWeight> 00088 const CubatureTemplate CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_data_[INTREPID_CUBATURE_TRI_DEFAULT_MAX_ENUM+1] = 00089 { 00090 // Cubature templates for the reference triangle {(0,0), (1,0), (0,1)} 00091 // 00092 { 00093 1, 00094 {{1./3., 1./3., 0.0}}, 00095 {1./2.} 00096 }, 00097 { 00098 1, 00099 {{1./3., 1./3., 0.0}}, 00100 {1./2.} 00101 }, 00102 { 00103 3, 00104 {{1./6., 1./6., 0.0}, 00105 {1./6., 2./3., 0.0}, 00106 {2./3., 1./6., 0.0}}, 00107 {1./6., 00108 1./6., 00109 1./6.} 00110 }, 00111 { 00112 4, 00113 {{1./3., 1./3., 0.0}, 00114 {1./5., 1./5., 0.0}, 00115 {1./5., 3./5., 0.0}, 00116 {3./5., 1./5., 0.0}}, 00117 {-9./32., 00118 25./96., 00119 25./96., 00120 25./96.} 00121 }, 00122 { 00123 6, 00124 {{4.4594849091596487577332043252695176084800e-1, 4.4594849091596487577332043252695176084800e-1, 0.0}, 00125 {4.4594849091596487577332043252695176084800e-1, 1.0810301816807024845335913494609647830400e-1, 0.0}, 00126 {1.0810301816807024845335913494609647830400e-1, 4.4594849091596487577332043252695176084800e-1, 0.0}, 00127 {9.1576213509770745141706146463816673424873e-2, 9.1576213509770745141706146463816673424873e-2, 0.0}, 00128 {9.1576213509770745141706146463816673424873e-2, 8.1684757298045850971658770707236665315025e-1, 0.0}, 00129 {8.1684757298045850971658770707236665315025e-1, 9.1576213509770745141706146463816673424873e-2, 0.0}}, 00130 {1.1169079483900573053953942803038657817028e-1, 00131 1.1169079483900573053953942803038657817028e-1, 00132 1.1169079483900573053953942803038657817028e-1, 00133 5.4975871827660936395761590801109078322738e-2, 00134 5.4975871827660936395761590801109078322738e-2, 00135 5.4975871827660936395761590801109078322738e-2} 00136 }, 00137 { 00138 7, 00139 {{3.3333333333333333333333333333333333333333e-1, 3.3333333333333333333333333333333333333333e-1, 0.0}, 00140 {1.0128650732345633880098736191512382805558e-1, 1.0128650732345633880098736191512382805558e-1, 0.0}, 00141 {7.9742698535308732239802527616975234388885e-1, 1.0128650732345633880098736191512382805558e-1, 0.0}, 00142 {1.0128650732345633880098736191512382805558e-1, 7.9742698535308732239802527616975234388885e-1, 0.0}, 00143 {4.7014206410511508977044120951344760051585e-1, 4.7014206410511508977044120951344760051585e-1, 0.0}, 00144 {5.9715871789769820459117580973104798968293e-2, 4.7014206410511508977044120951344760051585e-1, 0.0}, 00145 {4.7014206410511508977044120951344760051585e-1, 5.9715871789769820459117580973104798968293e-2, 0.0}}, 00146 {1.1250000000000000000000000000000000000000e-1, 00147 6.2969590272413576297841972750090666828820e-2, 00148 6.2969590272413576297841972750090666828820e-2, 00149 6.2969590272413576297841972750090666828820e-2, 00150 6.6197076394253090368824693916575999837847e-2, 00151 6.6197076394253090368824693916575999837847e-2, 00152 6.6197076394253090368824693916575999837847e-2} 00153 }, 00154 { 00155 12, 00156 {{6.3089014491502228340331602870819157341003e-2, 6.3089014491502228340331602870819157341003e-2, 0.0}, 00157 {6.3089014491502228340331602870819157341003e-2, 8.7382197101699554331933679425836168531799e-1, 0.0}, 00158 {8.7382197101699554331933679425836168531799e-1, 6.3089014491502228340331602870819157341003e-2, 0.0}, 00159 {2.4928674517091042129163855310701907608796e-1, 2.4928674517091042129163855310701907608796e-1, 0.0}, 00160 {2.4928674517091042129163855310701907608796e-1, 5.0142650965817915741672289378596184782407e-1, 0.0}, 00161 {5.0142650965817915741672289378596184782407e-1, 2.4928674517091042129163855310701907608796e-1, 0.0}, 00162 {3.1035245103378441286759566723265117140082e-1, 5.3145049844816939902261738355299128796183e-2, 0.0}, 00163 {6.3650249912139865667831578657006182134850e-1, 3.1035245103378439596843454179854003165774e-1, 0.0}, 00164 {5.3145049844816930454088546197287007250682e-2, 6.3650249912139866412930371984616083954608e-1, 0.0}, 00165 {5.3145049844816939902261738355299128796183e-2, 3.1035245103378441286759566723265117140082e-1, 0.0}, 00166 {6.3650249912139866412930371984616083954608e-1, 5.3145049844816930454088546197287007250682e-2, 0.0}, 00167 {3.1035245103378439596843454179854003165774e-1, 6.3650249912139865667831578657006182134850e-1, 0.0}}, 00168 {2.5422453185103408460468404553434492023395e-2, 00169 2.5422453185103408460468404553434492023395e-2, 00170 2.5422453185103408460468404553434492023395e-2, 00171 5.8393137863189683012644805692789720663043e-2, 00172 5.8393137863189683012644805692789720663043e-2, 00173 5.8393137863189683012644805692789720663043e-2, 00174 4.1425537809186787596776728210221226990114e-2, 00175 4.1425537809186787596776728210221226990114e-2, 00176 4.1425537809186787596776728210221226990114e-2, 00177 4.1425537809186787596776728210221226990114e-2, 00178 4.1425537809186787596776728210221226990114e-2, 00179 4.1425537809186787596776728210221226990114e-2} 00180 }, 00181 { 00182 13, 00183 {{3.33333333333333e-01, 3.33333333333333e-01, 0.0}, 00184 {2.60345966079040e-01, 2.60345966079040e-01, 0.0}, 00185 {2.60345966079040e-01, 4.79308067841920e-01, 0.0}, 00186 {4.79308067841920e-01, 2.60345966079040e-01, 0.0}, 00187 {6.51301029022160e-02, 6.51301029022160e-02, 0.0}, 00188 {6.51301029022160e-02, 8.69739794195568e-01, 0.0}, 00189 {8.69739794195568e-01, 6.51301029022160e-02, 0.0}, 00190 {3.12865496004874e-01, 6.38444188569810e-01, 0.0}, 00191 {6.38444188569810e-01, 4.86903154253160e-02, 0.0}, 00192 {4.86903154253160e-02, 3.12865496004874e-01, 0.0}, 00193 {3.12865496004874e-01, 4.86903154253160e-02, 0.0}, 00194 {6.38444188569810e-01, 3.12865496004874e-01, 0.0}, 00195 {4.86903154253160e-02, 6.38444188569810e-01, 0.0}}, 00196 {-7.47850222338410e-02, 00197 8.78076287166040e-02, 00198 8.78076287166040e-02, 00199 8.78076287166040e-02, 00200 2.66736178044190e-02, 00201 2.66736178044190e-02, 00202 2.66736178044190e-02, 00203 3.85568804451285e-02, 00204 3.85568804451285e-02, 00205 3.85568804451285e-02, 00206 3.85568804451285e-02, 00207 3.85568804451285e-02, 00208 3.85568804451285e-02} 00209 }, 00210 { 00211 16, 00212 {{3.33333333333333e-01, 3.33333333333333e-01, 0.0}, 00213 {4.59292588292723e-01, 4.59292588292723e-01, 0.0}, 00214 {4.59292588292723e-01, 8.14148234145540e-02, 0.0}, 00215 {8.14148234145540e-02, 4.59292588292723e-01, 0.0}, 00216 {1.70569307751760e-01, 1.70569307751760e-01, 0.0}, 00217 {1.70569307751760e-01, 6.58861384496480e-01, 0.0}, 00218 {6.58861384496480e-01, 1.70569307751760e-01, 0.0}, 00219 {5.05472283170310e-02, 5.05472283170310e-02, 0.0}, 00220 {5.05472283170310e-02, 8.98905543365938e-01, 0.0}, 00221 {8.98905543365938e-01, 5.05472283170310e-02, 0.0}, 00222 {2.63112829634638e-01, 7.28492392955404e-01, 0.0}, 00223 {7.28492392955404e-01, 8.39477740995798e-03, 0.0}, 00224 {8.39477740995798e-03, 2.63112829634638e-01, 0.0}, 00225 {2.63112829634638e-01, 8.39477740995798e-03, 0.0}, 00226 {7.28492392955404e-01, 2.63112829634638e-01, 0.0}, 00227 {8.39477740995798e-03, 7.28492392955404e-01, 0.0}}, 00228 {7.21578038388935e-02, 00229 4.75458171336425e-02, 00230 4.75458171336425e-02, 00231 4.75458171336425e-02, 00232 5.16086852673590e-02, 00233 5.16086852673590e-02, 00234 5.16086852673590e-02, 00235 1.62292488115990e-02, 00236 1.62292488115988e-02, 00237 1.62292488115990e-02, 00238 1.36151570872175e-02, 00239 1.36151570872175e-02, 00240 1.36151570872175e-02, 00241 1.36151570872175e-02, 00242 1.36151570872175e-02, 00243 1.36151570872175e-02} 00244 }, 00245 { 00246 19, 00247 {{3.33333333333333e-01, 3.33333333333333e-01, 0.0}, 00248 {4.89682519198738e-01, 4.89682519198738e-01, 0.0}, 00249 {4.89682519198738e-01, 2.06349616025250e-02, 0.0}, 00250 {2.06349616025250e-02, 4.89682519198738e-01, 0.0}, 00251 {4.37089591492937e-01, 4.37089591492937e-01, 0.0}, 00252 {4.37089591492937e-01, 1.25820817014127e-01, 0.0}, 00253 {1.25820817014127e-01, 4.37089591492937e-01, 0.0}, 00254 {1.88203535619033e-01, 1.88203535619033e-01, 0.0}, 00255 {1.88203535619033e-01, 6.23592928761935e-01, 0.0}, 00256 {6.23592928761935e-01, 1.88203535619033e-01, 0.0}, 00257 {4.47295133944530e-02, 4.47295133944530e-02, 0.0}, 00258 {4.47295133944530e-02, 9.10540973211095e-01, 0.0}, 00259 {9.10540973211095e-01, 4.47295133944530e-02, 0.0}, 00260 {2.21962989160766e-01, 7.41198598784498e-01, 0.0}, 00261 {7.41198598784498e-01, 3.68384120547360e-02, 0.0}, 00262 {3.68384120547360e-02, 2.21962989160766e-01, 0.0}, 00263 {2.21962989160766e-01, 3.68384120547360e-02, 0.0}, 00264 {7.41198598784498e-01, 2.21962989160766e-01, 0.0}, 00265 {3.68384120547360e-02, 7.41198598784498e-01, 0.0}}, 00266 {4.85678981413995e-02, 00267 1.56673501135695e-02, 00268 1.56673501135695e-02, 00269 1.56673501135695e-02, 00270 3.89137705023870e-02, 00271 3.89137705023870e-02, 00272 3.89137705023870e-02, 00273 3.98238694636050e-02, 00274 3.98238694636050e-02, 00275 3.98238694636050e-02, 00276 1.27888378293490e-02, 00277 1.27888378293490e-02, 00278 1.27888378293490e-02, 00279 2.16417696886445e-02, 00280 2.16417696886445e-02, 00281 2.16417696886445e-02, 00282 2.16417696886445e-02, 00283 2.16417696886445e-02, 00284 2.16417696886445e-02} 00285 }, 00286 { 00287 24, 00288 {{3.8102570854643002e-03, 8.6854386943076545e-01, 0.0}, 00289 {8.3865349500109043e-01, 1.6134650499890960e-01, 0.0}, 00290 {0.0 , 3.9366774470722010e-01, 0.0}, 00291 {7.7757518429429107e-01, 0.0 , 0.0}, 00292 {4.7768381772022403e-02, 9.2899486985787905e-01, 0.0}, 00293 {1.0939142057119900e-02, 1.7690730625559031e-01, 0.0}, 00294 {4.6374383867430541e-01, 0.0 , 0.0}, 00295 {9.3049846900263089e-01, 2.9553592846822900e-02, 0.0}, 00296 {3.9099745550423302e-02, 3.5319656252586103e-02, 0.0}, 00297 {4.8798437805397499e-01, 5.0365825075943971e-01, 0.0}, 00298 {1.9305903224251941e-01, 3.0573404093099301e-02, 0.0}, 00299 {2.2376358774275851e-01, 7.4726591728868819e-01, 0.0}, 00300 {3.6036266787907702e-02, 6.3491832379200652e-01, 0.0}, 00301 {7.6777680170023954e-01, 1.0614642990290001e-01, 0.0}, 00302 {1.0954959855585469e-01, 7.5329402776254240e-01, 0.0}, 00303 {6.4203365318662664e-01, 2.9530445535851102e-01, 0.0}, 00304 {1.0999439055630450e-01, 1.6929927488966459e-01, 0.0}, 00305 {3.3947290311800549e-01, 9.5379208487721703e-02, 0.0}, 00306 {8.4198522115543697e-02, 3.8729657913960353e-01, 0.0}, 00307 {5.7966325105486349e-01, 8.0491894656105595e-02, 0.0}, 00308 {3.6419744430339263e-01, 5.2433682558924433e-01, 0.0}, 00309 {2.7586334089315973e-01, 2.6481531651496770e-01, 0.0}, 00310 {2.0776116575484829e-01, 5.0550507373529086e-01, 0.0}, 00311 {4.8123289062464247e-01, 2.7542385024412980e-01, 0.0}}, 00312 {5.3333456379563004e-03, 00313 5.5334733911235499e-03, 00314 5.9501524071177998e-03, 00315 6.6995403929284002e-03, 00316 7.3041646115608498e-03, 00317 7.4233118233402503e-03, 00318 7.5781309587828498e-03, 00319 7.6015470130063496e-03, 00320 8.8279222964811003e-03, 00321 9.7797061087609508e-03, 00322 1.5707351180334426e-02, 00323 1.6151301011728625e-02, 00324 2.1481164696039650e-02, 00325 2.6268329551205824e-02, 00326 2.6365190704419499e-02, 00327 2.7457802196927176e-02, 00328 2.8987070299349601e-02, 00329 3.0871122933097676e-02, 00330 3.1343962650456775e-02, 00331 3.3093067237629975e-02, 00332 3.7039823668389947e-02, 00333 4.2207221279855073e-02, 00334 4.3362019313832399e-02, 00335 4.7633278635674972e-02} 00336 }, 00337 { 00338 27, 00339 {{3.7802163891336921e-01, 6.1948431533135195e-01, 0.0}, 00340 {3.2899822292186298e-02, 9.3614893514675623e-01, 0.0}, 00341 {9.3551434285897095e-01, 3.3268560622678398e-02, 0.0}, 00342 {3.4222771841359197e-02, 3.2916403878999703e-02, 0.0}, 00343 {1.4354532010930900e-02, 3.9659731669586501e-01, 0.0}, 00344 {2.2120535196161799e-02, 1.6892970982290231e-01, 0.0}, 00345 {8.1562969693268217e-01, 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9.1600805085676005e-03, 01398 9.1933276917576506e-03, 01399 9.2918915734212758e-03, 01400 9.3342892901571994e-03, 01401 1.0099333664696650e-02, 01402 1.0339501015941751e-02, 01403 1.0548944796751400e-02, 01404 1.2386275100928551e-02, 01405 1.2510481528527850e-02, 01406 1.2644864677864924e-02, 01407 1.3000930254698475e-02, 01408 1.3038339197138024e-02, 01409 1.3122478808947751e-02, 01410 1.4978994062894975e-02, 01411 1.4990249935657125e-02, 01412 1.4997881803219050e-02, 01413 1.5853329586233849e-02, 01414 1.5882796527709402e-02, 01415 1.5930165141800151e-02} 01416 } // end Triangle 01417 01418 }; 01419 01420 } // end namespace Intrepid
1.7.4