Intrepid: http://trilinos.sandia.gov/packages/docs/r10.0/packages/intrepid/src/Discretization/Integration/Intrepid_CubatureDirectTetDefaultDef.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 CubatureDirectTetDefault<Scalar,ArrayType>::CubatureDirectTetDefault(const int degree) {
00039   this->degree_    = degree;
00040   this->dimension_ = 3;
00041   TEST_FOR_EXCEPTION((degree < 0) || (degree > INTREPID_CUBATURE_TET_DEFAULT_MAX),
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 ArrayType>
00049 const CubatureTemplate *  CubatureDirectTetDefault<Scalar,ArrayType>::exposeCubatureData() const {
00050   return cubature_data_;
00051 }
00052 
00053 
00054 
00055 template <class Scalar, class ArrayType>
00056 int CubatureDirectTetDefault<Scalar,ArrayType>::getMaxAccuracy() const {
00057   return INTREPID_CUBATURE_TET_DEFAULT_MAX;
00058 }
00059 
00060 
00061 
00062 template <class Scalar, class ArrayType>
00063 const char* CubatureDirectTetDefault<Scalar,ArrayType>::getName() const {
00064   return cubature_name_;
00065 } // end getName
00066 
00067 
00068 
00069 template <class Scalar, class ArrayType>
00070 const char* CubatureDirectTetDefault<Scalar,ArrayType>::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 ArrayType>
00088 const CubatureTemplate CubatureDirectTetDefault<Scalar,ArrayType>::cubature_data_[INTREPID_CUBATURE_TET_DEFAULT_MAX+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,
00271      9.70017636684250e-04,
00272      1.82642234661089e-02,
00273      1.05999415244136e-02,
00274      1.05999415244136e-02,
00275      1.05999415244136e-02,
00276      1.05999415244136e-02,
00277      -6.25177401143319e-02,
00278      -6.25177401143319e-02,
00279      -6.25177401143319e-02,
00280      -6.25177401143319e-02,
00281      4.89142526307350e-03,
00282      4.89142526307350e-03,
00283      4.89142526307350e-03,
00284      4.89142526307350e-03,
00285      2.75573192239859e-02,
00286      2.75573192239859e-02,
00287      2.75573192239859e-02,
00288      2.75573192239859e-02,
00289      2.75573192239859e-02,
00290      2.75573192239859e-02,
00291      2.75573192239859e-02,
00292      2.75573192239859e-02,
00293      2.75573192239859e-02,
00294      2.75573192239859e-02,
00295      2.75573192239859e-02,
00296      2.75573192239859e-02}
00297   },
00298   {
00299     43,
00300     {{2.50000000000000e-01, 2.50000000000000e-01, 2.50000000000000e-01},
00301      {2.06829931610673e-01, 2.06829931610673e-01, 2.06829931610673e-01},
00302      {2.06829931610673e-01, 2.06829931610673e-01, 3.79510205167981e-01},
00303      {2.06829931610673e-01, 3.79510205167981e-01, 2.06829931610673e-01},
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08539      {2.27272727272728e-01, 3.18181818181818e-01, 3.18181818181818e-01},
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08551      {4.09090909090909e-01, 2.27272727272728e-01, 2.27272727272728e-01},
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08553      {4.09090909090909e-01, 4.09090909090909e-01, 4.54545454545455e-02},
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08558      {5.90909090909091e-01, 4.54545454545455e-02, 2.27272727272728e-01},
08559      {5.90909090909091e-01, 1.36363636363637e-01, 1.36363636363637e-01},
08560      {5.90909090909091e-01, 2.27272727272728e-01, 4.54545454545455e-02},
08561      {6.81818181818182e-01, 4.54545454545455e-02, 1.36363636363637e-01},
08562      {6.81818181818182e-01, 1.36363636363637e-01, 4.54545454545455e-02},
08563      {7.72727272727272e-01, 4.54545454545455e-02, 4.54545454545455e-02},
08564      {4.54545454545455e-02, 4.54545454545455e-02, 6.81818181818182e-01},
08565      {4.54545454545455e-02, 1.36363636363637e-01, 5.90909090909091e-01},
08566      {4.54545454545455e-02, 2.27272727272728e-01, 5.00000000000000e-01},
08567      {4.54545454545455e-02, 3.18181818181818e-01, 4.09090909090909e-01},
08568      {4.54545454545455e-02, 4.09090909090909e-01, 3.18181818181818e-01},
08569      {4.54545454545455e-02, 5.00000000000000e-01, 2.27272727272728e-01},
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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,
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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