Intrepid: http://trilinos.sandia.gov/packages/docs/r10.0/packages/intrepid/src/Discretization/Integration/Intrepid_CubatureDirectTriDefaultDef.hpp Source File

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 ArrayType>
00038 CubatureDirectTriDefault<Scalar,ArrayType>::CubatureDirectTriDefault(const int degree) {
00039   this->degree_    = degree;
00040   this->dimension_ = 2;
00041   TEST_FOR_EXCEPTION((degree < 0) || (degree > INTREPID_CUBATURE_TRI_DEFAULT_MAX),
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 ArrayType>
00049 const CubatureTemplate *  CubatureDirectTriDefault<Scalar,ArrayType>::exposeCubatureData() const {
00050   return cubature_data_;
00051 }
00052 
00053 
00054 
00055 template <class Scalar, class ArrayType>
00056 int CubatureDirectTriDefault<Scalar,ArrayType>::getMaxAccuracy() const {
00057   return INTREPID_CUBATURE_TRI_DEFAULT_MAX;
00058 }
00059 
00060 
00061 
00062 template <class Scalar, class ArrayType>
00063 const char* CubatureDirectTriDefault<Scalar,ArrayType>::getName() const {
00064   return cubature_name_;
00065 } // end getName
00066 
00067 
00068 
00069 template <class Scalar, class ArrayType>
00070 const char* CubatureDirectTriDefault<Scalar,ArrayType>::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 ArrayType>
00088 const CubatureTemplate CubatureDirectTriDefault<Scalar,ArrayType>::cubature_data_[INTREPID_CUBATURE_TRI_DEFAULT_MAX+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, 2.6807150626772601e-02, 0.0},
00346      {2.7719522918618601e-02, 8.1626233715968810e-01, 0.0},
00347      {1.7400571673032261e-01, 2.5252704638304500e-02, 0.0},
00348      {3.8913981113319362e-01, 2.2592651051306600e-02, 0.0},
00349      {8.0364834053903877e-01, 1.6655614492060569e-01, 0.0},
00350      {1.6429286715713459e-01, 8.0454974747615537e-01, 0.0},
00351      {6.1758873171277151e-01, 2.5660186833052399e-02, 0.0},
00352      {2.6297199713764201e-02, 6.1924873232110123e-01, 0.0},
00353      {5.9895439629934211e-01, 3.7272769861629101e-01, 0.0},
00354      {8.1721404855381805e-02, 3.2719878157552901e-01, 0.0},
00355      {1.3035453031942690e-01, 1.3667083534390509e-01, 0.0},
00356      {7.1027868107761583e-01, 1.3828000204292321e-01, 0.0},
00357      {1.4118119730952799e-01, 7.0099267949645228e-01, 0.0},
00358      {5.3141960154079959e-01, 1.2417148586801489e-01, 0.0},
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01303      {1.9572899328760179e-01, 5.5571383315608597e-02, 0.0},
01304      {1.0925320579875419e-01, 6.1000361824130300e-01, 0.0},
01305      {5.6762570200051501e-02, 7.4091218949591942e-01, 0.0},
01306      {4.8383793347481101e-02, 6.0751356609779783e-01, 0.0},
01307      {1.0806128097601329e-01, 1.1220815104370099e-01, 0.0},
01308      {6.1856059009905007e-01, 2.6987537030349740e-01, 0.0},
01309      {7.7212960134965625e-01, 1.1141173953329921e-01, 0.0},
01310      {6.1157348011327173e-01, 3.3893676779306348e-01, 0.0},
01311      {3.3813261033758418e-01, 4.9469393878745799e-02, 0.0},
01312      {1.1730841282542900e-01, 7.6964513097951825e-01, 0.0},
01313      {2.6745512605961458e-01, 1.1157188081540730e-01, 0.0},
01314      {6.5421001600256889e-01, 1.9065483146999149e-01, 0.0},
01315      {5.3829748115775802e-02, 3.3586168268491179e-01, 0.0},
01316      {1.8488403241167711e-01, 1.5518315238513730e-01, 0.0},
01317      {3.3762671047443338e-01, 6.0814025962944529e-01, 0.0},
01318      {6.0671020344994708e-01, 5.4263279559821201e-02, 0.0},
01319      {4.6126140854956371e-01, 6.8817667072165398e-02, 0.0},
01320      {1.5254653656712561e-01, 6.5102408457488470e-01, 0.0},
01321      {7.0058254354307500e-02, 4.6619043927415987e-01, 0.0},
01322      {4.7042013790318088e-01, 4.6348264553531421e-01, 0.0},
01323      {1.2164616937459330e-01, 2.3814948755156831e-01, 0.0},
01324      {6.3714040527021165e-01, 1.2383993845133670e-01, 0.0},
01325      {2.3799045151187120e-01, 6.3702164523263760e-01, 0.0},
01326      {1.4839298571771459e-01, 4.8941885777801442e-01, 0.0},
01327      {3.5980695715496319e-01, 1.4528808662532389e-01, 0.0},
01328      {4.9414410550951349e-01, 3.6102163838181101e-01, 0.0},
01329      {1.4406306879808209e-01, 3.5135083418870572e-01, 0.0},
01330      {5.0197644400035468e-01, 1.4354916632930600e-01, 0.0},
01331      {3.5554238342982608e-01, 5.0164915995018422e-01, 0.0},
01332      {2.4434395407713269e-01, 2.4060521291041001e-01, 0.0},
01333      {2.4370649893418969e-01, 5.1090172770553444e-01, 0.0},
01334      {5.1222008073208247e-01, 2.4527379735428820e-01, 0.0},
01335      {2.5260383151777532e-01, 3.7003195550936951e-01, 0.0},
01336      {3.7598956528506539e-01, 2.5054066116305501e-01, 0.0},
01337      {3.7290779871441049e-01, 3.7537502775491960e-01, 0.0}},
01338     {5.4361363496487503e-04,
01339      7.2467838162779998e-04,
01340      7.7115073341352497e-04,
01341      8.6004082758987495e-04,
01342      1.0474618002941001e-03,
01343      1.1184512874480750e-03,
01344      1.1763605203547751e-03,
01345      1.2216983937579000e-03,
01346      1.2981910842235500e-03,
01347      1.8518264745199500e-03,
01348      1.9938852575230501e-03,
01349      2.0887630727400748e-03,
01350      2.4041665215934500e-03,
01351      2.4079564462609749e-03,
01352      2.4644365189580250e-03,
01353      2.5664470075342249e-03,
01354      2.5797025777773248e-03,
01355      2.6572750407618498e-03,
01356      2.6720326723837502e-03,
01357      2.6742255252576500e-03,
01358      2.7256615428406252e-03,
01359      2.7474945893627501e-03,
01360      2.8355763807253751e-03,
01361      3.0133910732457001e-03,
01362      3.4904798455149752e-03,
01363      3.5286997884102249e-03,
01364      3.5482586761459252e-03,
01365      3.6053169067081750e-03,
01366      3.6176086713727751e-03,
01367      3.6237442468015752e-03,
01368      3.6346693923518499e-03,
01369      3.6491047731400249e-03,
01370      3.6828644616571501e-03,
01371      4.1865990826037754e-03,
01372      4.2238875114384497e-03,
01373      4.2355665721040998e-03,
01374      4.3267543023872996e-03,
01375      4.3631136623173503e-03,
01376      4.4304305539834754e-03,
01377      7.0706006005818254e-03,
01378      7.1249178122030250e-03,
01379      7.1251411634678250e-03,
01380      7.5161805869424503e-03,
01381      7.5507819270567997e-03,
01382      7.5996784019234003e-03,
01383      7.6417199018501249e-03,
01384      7.6516853250572746e-03,
01385      7.7332517050150247e-03,
01386      7.7443455208702503e-03,
01387      7.8286562636164757e-03,
01388      7.8393373347939495e-03,
01389      7.8580117321664505e-03,
01390      7.8795535973380255e-03,
01391      8.1062034496375505e-03,
01392      8.6878038096496243e-03,
01393      8.7598363731706003e-03,
01394      8.7679355077581993e-03,
01395      8.8032303833538994e-03,
01396      8.8153876245372752e-03,
01397      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