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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 // 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 Pavel Bochev (pbboche@sandia.gov) 00038 // Denis Ridzal (dridzal@sandia.gov), or 00039 // Kara Peterson (kjpeter@sandia.gov) 00040 // 00041 // ************************************************************************ 00042 // @HEADER 00043 00049 namespace Intrepid { 00050 00051 template <class Scalar, class ArrayPoint, class ArrayWeight> 00052 CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::CubatureDirectTriDefault(const int degree) { 00053 this->degree_ = degree; 00054 this->dimension_ = 2; 00055 TEUCHOS_TEST_FOR_EXCEPTION((degree < 0) || (degree > INTREPID_CUBATURE_TRI_DEFAULT_MAX_ENUM), 00056 std::out_of_range, 00057 ">>> ERROR (CubatureDirectTriDefault): No direct cubature rule implemented for the desired polynomial degree."); 00058 } // end constructor 00059 00060 00061 00062 template <class Scalar, class ArrayPoint, class ArrayWeight> 00063 const CubatureTemplate * CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::exposeCubatureData() const { 00064 return cubature_data_; 00065 } 00066 00067 00068 00069 template <class Scalar, class ArrayPoint, class ArrayWeight> 00070 int CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::getMaxAccuracy() const { 00071 return INTREPID_CUBATURE_TRI_DEFAULT_MAX_ENUM; 00072 } 00073 00074 00075 00076 template <class Scalar, class ArrayPoint, class ArrayWeight> 00077 const char* CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::getName() const { 00078 return cubature_name_; 00079 } // end getName 00080 00081 00082 00083 template <class Scalar, class ArrayPoint, class ArrayWeight> 00084 const char* CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_name_ = "INTREPID_CUBATURE_TRI_DEFAULT"; 00085 00086 00087 //-------------------------------------------------------------------------------------// 00088 // Definition of cubature templates // 00089 //-------------------------------------------------------------------------------------// 00090 00091 /* 00092 Cubature templates for lines are defined the reference Triangle: 00093 00094 Triangle -> (0,0,0),(1,0,0),(0,1,0) 00095 */ 00096 00097 /* 00098 This static const member contains templates for default triangle rules. 00099 */ 00100 00101 template <class Scalar, class ArrayPoint, class ArrayWeight> 00102 const CubatureTemplate CubatureDirectTriDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_data_[INTREPID_CUBATURE_TRI_DEFAULT_MAX_ENUM+1] = 00103 { 00104 // Cubature templates for the reference triangle {(0,0), (1,0), (0,1)} 00105 // 00106 { 00107 1, 00108 {{1./3., 1./3., 0.0}}, 00109 {1./2.} 00110 }, 00111 { 00112 1, 00113 {{1./3., 1./3., 0.0}}, 00114 {1./2.} 00115 }, 00116 { 00117 3, 00118 {{1./6., 1./6., 0.0}, 00119 {1./6., 2./3., 0.0}, 00120 {2./3., 1./6., 0.0}}, 00121 {1./6., 00122 1./6., 00123 1./6.} 00124 }, 00125 { 00126 4, 00127 {{1./3., 1./3., 0.0}, 00128 {1./5., 1./5., 0.0}, 00129 {1./5., 3./5., 0.0}, 00130 {3./5., 1./5., 0.0}}, 00131 {-9./32., 00132 25./96., 00133 25./96., 00134 25./96.} 00135 }, 00136 { 00137 6, 00138 {{4.4594849091596487577332043252695176084800e-1, 4.4594849091596487577332043252695176084800e-1, 0.0}, 00139 {4.4594849091596487577332043252695176084800e-1, 1.0810301816807024845335913494609647830400e-1, 0.0}, 00140 {1.0810301816807024845335913494609647830400e-1, 4.4594849091596487577332043252695176084800e-1, 0.0}, 00141 {9.1576213509770745141706146463816673424873e-2, 9.1576213509770745141706146463816673424873e-2, 0.0}, 00142 {9.1576213509770745141706146463816673424873e-2, 8.1684757298045850971658770707236665315025e-1, 0.0}, 00143 {8.1684757298045850971658770707236665315025e-1, 9.1576213509770745141706146463816673424873e-2, 0.0}}, 00144 {1.1169079483900573053953942803038657817028e-1, 00145 1.1169079483900573053953942803038657817028e-1, 00146 1.1169079483900573053953942803038657817028e-1, 00147 5.4975871827660936395761590801109078322738e-2, 00148 5.4975871827660936395761590801109078322738e-2, 00149 5.4975871827660936395761590801109078322738e-2} 00150 }, 00151 { 00152 7, 00153 {{3.3333333333333333333333333333333333333333e-1, 3.3333333333333333333333333333333333333333e-1, 0.0}, 00154 {1.0128650732345633880098736191512382805558e-1, 1.0128650732345633880098736191512382805558e-1, 0.0}, 00155 {7.9742698535308732239802527616975234388885e-1, 1.0128650732345633880098736191512382805558e-1, 0.0}, 00156 {1.0128650732345633880098736191512382805558e-1, 7.9742698535308732239802527616975234388885e-1, 0.0}, 00157 {4.7014206410511508977044120951344760051585e-1, 4.7014206410511508977044120951344760051585e-1, 0.0}, 00158 {5.9715871789769820459117580973104798968293e-2, 4.7014206410511508977044120951344760051585e-1, 0.0}, 00159 {4.7014206410511508977044120951344760051585e-1, 5.9715871789769820459117580973104798968293e-2, 0.0}}, 00160 {1.1250000000000000000000000000000000000000e-1, 00161 6.2969590272413576297841972750090666828820e-2, 00162 6.2969590272413576297841972750090666828820e-2, 00163 6.2969590272413576297841972750090666828820e-2, 00164 6.6197076394253090368824693916575999837847e-2, 00165 6.6197076394253090368824693916575999837847e-2, 00166 6.6197076394253090368824693916575999837847e-2} 00167 }, 00168 { 00169 12, 00170 {{6.3089014491502228340331602870819157341003e-2, 6.3089014491502228340331602870819157341003e-2, 0.0}, 00171 {6.3089014491502228340331602870819157341003e-2, 8.7382197101699554331933679425836168531799e-1, 0.0}, 00172 {8.7382197101699554331933679425836168531799e-1, 6.3089014491502228340331602870819157341003e-2, 0.0}, 00173 {2.4928674517091042129163855310701907608796e-1, 2.4928674517091042129163855310701907608796e-1, 0.0}, 00174 {2.4928674517091042129163855310701907608796e-1, 5.0142650965817915741672289378596184782407e-1, 0.0}, 00175 {5.0142650965817915741672289378596184782407e-1, 2.4928674517091042129163855310701907608796e-1, 0.0}, 00176 {3.1035245103378441286759566723265117140082e-1, 5.3145049844816939902261738355299128796183e-2, 0.0}, 00177 {6.3650249912139865667831578657006182134850e-1, 3.1035245103378439596843454179854003165774e-1, 0.0}, 00178 {5.3145049844816930454088546197287007250682e-2, 6.3650249912139866412930371984616083954608e-1, 0.0}, 00179 {5.3145049844816939902261738355299128796183e-2, 3.1035245103378441286759566723265117140082e-1, 0.0}, 00180 {6.3650249912139866412930371984616083954608e-1, 5.3145049844816930454088546197287007250682e-2, 0.0}, 00181 {3.1035245103378439596843454179854003165774e-1, 6.3650249912139865667831578657006182134850e-1, 0.0}}, 00182 {2.5422453185103408460468404553434492023395e-2, 00183 2.5422453185103408460468404553434492023395e-2, 00184 2.5422453185103408460468404553434492023395e-2, 00185 5.8393137863189683012644805692789720663043e-2, 00186 5.8393137863189683012644805692789720663043e-2, 00187 5.8393137863189683012644805692789720663043e-2, 00188 4.1425537809186787596776728210221226990114e-2, 00189 4.1425537809186787596776728210221226990114e-2, 00190 4.1425537809186787596776728210221226990114e-2, 00191 4.1425537809186787596776728210221226990114e-2, 00192 4.1425537809186787596776728210221226990114e-2, 00193 4.1425537809186787596776728210221226990114e-2} 00194 }, 00195 { 00196 13, 00197 {{3.33333333333333e-01, 3.33333333333333e-01, 0.0}, 00198 {2.60345966079040e-01, 2.60345966079040e-01, 0.0}, 00199 {2.60345966079040e-01, 4.79308067841920e-01, 0.0}, 00200 {4.79308067841920e-01, 2.60345966079040e-01, 0.0}, 00201 {6.51301029022160e-02, 6.51301029022160e-02, 0.0}, 00202 {6.51301029022160e-02, 8.69739794195568e-01, 0.0}, 00203 {8.69739794195568e-01, 6.51301029022160e-02, 0.0}, 00204 {3.12865496004874e-01, 6.38444188569810e-01, 0.0}, 00205 {6.38444188569810e-01, 4.86903154253160e-02, 0.0}, 00206 {4.86903154253160e-02, 3.12865496004874e-01, 0.0}, 00207 {3.12865496004874e-01, 4.86903154253160e-02, 0.0}, 00208 {6.38444188569810e-01, 3.12865496004874e-01, 0.0}, 00209 {4.86903154253160e-02, 6.38444188569810e-01, 0.0}}, 00210 {-7.47850222338410e-02, 00211 8.78076287166040e-02, 00212 8.78076287166040e-02, 00213 8.78076287166040e-02, 00214 2.66736178044190e-02, 00215 2.66736178044190e-02, 00216 2.66736178044190e-02, 00217 3.85568804451285e-02, 00218 3.85568804451285e-02, 00219 3.85568804451285e-02, 00220 3.85568804451285e-02, 00221 3.85568804451285e-02, 00222 3.85568804451285e-02} 00223 }, 00224 { 00225 16, 00226 {{3.33333333333333e-01, 3.33333333333333e-01, 0.0}, 00227 {4.59292588292723e-01, 4.59292588292723e-01, 0.0}, 00228 {4.59292588292723e-01, 8.14148234145540e-02, 0.0}, 00229 {8.14148234145540e-02, 4.59292588292723e-01, 0.0}, 00230 {1.70569307751760e-01, 1.70569307751760e-01, 0.0}, 00231 {1.70569307751760e-01, 6.58861384496480e-01, 0.0}, 00232 {6.58861384496480e-01, 1.70569307751760e-01, 0.0}, 00233 {5.05472283170310e-02, 5.05472283170310e-02, 0.0}, 00234 {5.05472283170310e-02, 8.98905543365938e-01, 0.0}, 00235 {8.98905543365938e-01, 5.05472283170310e-02, 0.0}, 00236 {2.63112829634638e-01, 7.28492392955404e-01, 0.0}, 00237 {7.28492392955404e-01, 8.39477740995798e-03, 0.0}, 00238 {8.39477740995798e-03, 2.63112829634638e-01, 0.0}, 00239 {2.63112829634638e-01, 8.39477740995798e-03, 0.0}, 00240 {7.28492392955404e-01, 2.63112829634638e-01, 0.0}, 00241 {8.39477740995798e-03, 7.28492392955404e-01, 0.0}}, 00242 {7.21578038388935e-02, 00243 4.75458171336425e-02, 00244 4.75458171336425e-02, 00245 4.75458171336425e-02, 00246 5.16086852673590e-02, 00247 5.16086852673590e-02, 00248 5.16086852673590e-02, 00249 1.62292488115990e-02, 00250 1.62292488115988e-02, 00251 1.62292488115990e-02, 00252 1.36151570872175e-02, 00253 1.36151570872175e-02, 00254 1.36151570872175e-02, 00255 1.36151570872175e-02, 00256 1.36151570872175e-02, 00257 1.36151570872175e-02} 00258 }, 00259 { 00260 19, 00261 {{3.33333333333333e-01, 3.33333333333333e-01, 0.0}, 00262 {4.89682519198738e-01, 4.89682519198738e-01, 0.0}, 00263 {4.89682519198738e-01, 2.06349616025250e-02, 0.0}, 00264 {2.06349616025250e-02, 4.89682519198738e-01, 0.0}, 00265 {4.37089591492937e-01, 4.37089591492937e-01, 0.0}, 00266 {4.37089591492937e-01, 1.25820817014127e-01, 0.0}, 00267 {1.25820817014127e-01, 4.37089591492937e-01, 0.0}, 00268 {1.88203535619033e-01, 1.88203535619033e-01, 0.0}, 00269 {1.88203535619033e-01, 6.23592928761935e-01, 0.0}, 00270 {6.23592928761935e-01, 1.88203535619033e-01, 0.0}, 00271 {4.47295133944530e-02, 4.47295133944530e-02, 0.0}, 00272 {4.47295133944530e-02, 9.10540973211095e-01, 0.0}, 00273 {9.10540973211095e-01, 4.47295133944530e-02, 0.0}, 00274 {2.21962989160766e-01, 7.41198598784498e-01, 0.0}, 00275 {7.41198598784498e-01, 3.68384120547360e-02, 0.0}, 00276 {3.68384120547360e-02, 2.21962989160766e-01, 0.0}, 00277 {2.21962989160766e-01, 3.68384120547360e-02, 0.0}, 00278 {7.41198598784498e-01, 2.21962989160766e-01, 0.0}, 00279 {3.68384120547360e-02, 7.41198598784498e-01, 0.0}}, 00280 {4.85678981413995e-02, 00281 1.56673501135695e-02, 00282 1.56673501135695e-02, 00283 1.56673501135695e-02, 00284 3.89137705023870e-02, 00285 3.89137705023870e-02, 00286 3.89137705023870e-02, 00287 3.98238694636050e-02, 00288 3.98238694636050e-02, 00289 3.98238694636050e-02, 00290 1.27888378293490e-02, 00291 1.27888378293490e-02, 00292 1.27888378293490e-02, 00293 2.16417696886445e-02, 00294 2.16417696886445e-02, 00295 2.16417696886445e-02, 00296 2.16417696886445e-02, 00297 2.16417696886445e-02, 00298 2.16417696886445e-02} 00299 }, 00300 { 00301 24, 00302 {{3.8102570854643002e-03, 8.6854386943076545e-01, 0.0}, 00303 {8.3865349500109043e-01, 1.6134650499890960e-01, 0.0}, 00304 {0.0 , 3.9366774470722010e-01, 0.0}, 00305 {7.7757518429429107e-01, 0.0 , 0.0}, 00306 {4.7768381772022403e-02, 9.2899486985787905e-01, 0.0}, 00307 {1.0939142057119900e-02, 1.7690730625559031e-01, 0.0}, 00308 {4.6374383867430541e-01, 0.0 , 0.0}, 00309 {9.3049846900263089e-01, 2.9553592846822900e-02, 0.0}, 00310 {3.9099745550423302e-02, 3.5319656252586103e-02, 0.0}, 00311 {4.8798437805397499e-01, 5.0365825075943971e-01, 0.0}, 00312 {1.9305903224251941e-01, 3.0573404093099301e-02, 0.0}, 00313 {2.2376358774275851e-01, 7.4726591728868819e-01, 0.0}, 00314 {3.6036266787907702e-02, 6.3491832379200652e-01, 0.0}, 00315 {7.6777680170023954e-01, 1.0614642990290001e-01, 0.0}, 00316 {1.0954959855585469e-01, 7.5329402776254240e-01, 0.0}, 00317 {6.4203365318662664e-01, 2.9530445535851102e-01, 0.0}, 00318 {1.0999439055630450e-01, 1.6929927488966459e-01, 0.0}, 00319 {3.3947290311800549e-01, 9.5379208487721703e-02, 0.0}, 00320 {8.4198522115543697e-02, 3.8729657913960353e-01, 0.0}, 00321 {5.7966325105486349e-01, 8.0491894656105595e-02, 0.0}, 00322 {3.6419744430339263e-01, 5.2433682558924433e-01, 0.0}, 00323 {2.7586334089315973e-01, 2.6481531651496770e-01, 0.0}, 00324 {2.0776116575484829e-01, 5.0550507373529086e-01, 0.0}, 00325 {4.8123289062464247e-01, 2.7542385024412980e-01, 0.0}}, 00326 {5.3333456379563004e-03, 00327 5.5334733911235499e-03, 00328 5.9501524071177998e-03, 00329 6.6995403929284002e-03, 00330 7.3041646115608498e-03, 00331 7.4233118233402503e-03, 00332 7.5781309587828498e-03, 00333 7.6015470130063496e-03, 00334 8.8279222964811003e-03, 00335 9.7797061087609508e-03, 00336 1.5707351180334426e-02, 00337 1.6151301011728625e-02, 00338 2.1481164696039650e-02, 00339 2.6268329551205824e-02, 00340 2.6365190704419499e-02, 00341 2.7457802196927176e-02, 00342 2.8987070299349601e-02, 00343 3.0871122933097676e-02, 00344 3.1343962650456775e-02, 00345 3.3093067237629975e-02, 00346 3.7039823668389947e-02, 00347 4.2207221279855073e-02, 00348 4.3362019313832399e-02, 00349 4.7633278635674972e-02} 00350 }, 00351 { 00352 27, 00353 {{3.7802163891336921e-01, 6.1948431533135195e-01, 0.0}, 00354 {3.2899822292186298e-02, 9.3614893514675623e-01, 0.0}, 00355 {9.3551434285897095e-01, 3.3268560622678398e-02, 0.0}, 00356 {3.4222771841359197e-02, 3.2916403878999703e-02, 0.0}, 00357 {1.4354532010930900e-02, 3.9659731669586501e-01, 0.0}, 00358 {2.2120535196161799e-02, 1.6892970982290231e-01, 0.0}, 00359 {8.1562969693268217e-01, 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9.1600805085676005e-03, 01412 9.1933276917576506e-03, 01413 9.2918915734212758e-03, 01414 9.3342892901571994e-03, 01415 1.0099333664696650e-02, 01416 1.0339501015941751e-02, 01417 1.0548944796751400e-02, 01418 1.2386275100928551e-02, 01419 1.2510481528527850e-02, 01420 1.2644864677864924e-02, 01421 1.3000930254698475e-02, 01422 1.3038339197138024e-02, 01423 1.3122478808947751e-02, 01424 1.4978994062894975e-02, 01425 1.4990249935657125e-02, 01426 1.4997881803219050e-02, 01427 1.5853329586233849e-02, 01428 1.5882796527709402e-02, 01429 1.5930165141800151e-02} 01430 } // end Triangle 01431 01432 }; 01433 01434 } // end namespace Intrepid
1.7.6.1