Intrepid
http://trilinos.sandia.gov/packages/docs/r10.10/packages/intrepid/src/Discretization/Integration/Intrepid_CubatureDirectTetDefaultDef.hpp
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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 CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::CubatureDirectTetDefault(const int degree) {
00053   this->degree_    = degree;
00054   this->dimension_ = 3;
00055   TEUCHOS_TEST_FOR_EXCEPTION((degree < 0) || (degree > INTREPID_CUBATURE_TET_DEFAULT_MAX_ENUM),
00056                      std::out_of_range,
00057                      ">>> ERROR (CubatureDirectTetDefault): 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 *  CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::exposeCubatureData() const {
00064   return cubature_data_;
00065 }
00066 
00067 
00068 
00069 template <class Scalar, class ArrayPoint, class ArrayWeight>
00070 int CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::getMaxAccuracy() const {
00071   return INTREPID_CUBATURE_TET_DEFAULT_MAX_ENUM;
00072 }
00073 
00074 
00075 
00076 template <class Scalar, class ArrayPoint, class ArrayWeight>
00077 const char* CubatureDirectTetDefault<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* CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_name_ = "INTREPID_CUBATURE_TET_DEFAULT";
00085 
00086 
00087 //-------------------------------------------------------------------------------------//
00088 //                          Definition of cubature templates                           //
00089 //-------------------------------------------------------------------------------------//
00090 
00091 /*
00092    Cubature templates for lines are defined the reference Tetrahedron:
00093 
00094    Tetrahedron    -> (0,0,0), (1,0,0), (0,1,0), (0,0,1)
00095 */
00096 
00097 /*
00098    This static const member contains templates for default tetrahedron rules.
00099 */
00100 
00101 template <class Scalar, class ArrayPoint, class ArrayWeight>
00102 const CubatureTemplate CubatureDirectTetDefault<Scalar,ArrayPoint,ArrayWeight>::cubature_data_[INTREPID_CUBATURE_TET_DEFAULT_MAX_ENUM+1] =
00103 {
00104   // Cubature templates for the reference tet {(0,0,0), (1,0,0), (0,1,0), (0,0,1)}
00105   //
00106   {
00107     1,
00108     {{1./4., 1./4., 1./4.}},
00109     {1./6.}
00110   },
00111   {
00112     1,
00113     {{1./4., 1./4., 1./4.}},
00114     {1./6.}
00115   },
00116   {
00117     4,
00118     {{0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280},
00119      {0.5854101966249684544613760503096914353161, 0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280},
00120      {0.1381966011250105151795413165634361882280, 0.5854101966249684544613760503096914353161, 0.1381966011250105151795413165634361882280},
00121      {0.1381966011250105151795413165634361882280, 0.1381966011250105151795413165634361882280, 0.5854101966249684544613760503096914353161}},
00122     {1./24.,
00123      1./24.,
00124      1./24.,
00125      1./24.}
00126   },
00127   {
00128     5,
00129     {{1./4., 1./4., 1./4.},
00130      {1./6., 1./6., 1./6.},
00131      {1./6., 1./6., 1./2.},
00132      {1./6., 1./2., 1./6.},
00133      {1./2., 1./6., 1./6.}},
00134     {-2./15.,
00135       3./40.,
00136       3./40.,
00137       3./40.,
00138       3./40.}
00139   },
00140   {
00141     11,
00142     {{2.50000000000000e-01, 2.50000000000000e-01, 2.50000000000000e-01},
00143      {7.14285714285715e-02, 7.14285714285715e-02, 7.14285714285715e-02},
00144      {7.14285714285715e-02, 7.14285714285715e-02, 7.85714285714285e-01},
00145      {7.14285714285715e-02, 7.85714285714285e-01, 7.14285714285715e-02},
00146      {7.85714285714285e-01, 7.14285714285715e-02, 7.14285714285715e-02},
00147      {3.99403576166799e-01, 3.99403576166799e-01, 1.00596423833201e-01},
00148      {3.99403576166799e-01, 1.00596423833201e-01, 3.99403576166799e-01},
00149      {1.00596423833201e-01, 3.99403576166799e-01, 3.99403576166799e-01},
00150      {3.99403576166799e-01, 1.00596423833201e-01, 1.00596423833201e-01},
00151      {1.00596423833201e-01, 3.99403576166799e-01, 1.00596423833201e-01},
00152      {1.00596423833201e-01, 1.00596423833201e-01, 3.99403576166799e-01}},
00153     {-1.31555555555555e-02,
00154      7.62222222222225e-03,
00155      7.62222222222225e-03,
00156      7.62222222222225e-03,
00157      7.62222222222225e-03,
00158      2.48888888888889e-02,
00159      2.48888888888889e-02,
00160      2.48888888888889e-02,
00161      2.48888888888889e-02,
00162      2.48888888888889e-02,
00163      2.48888888888889e-02}
00164   },
00165   {
00166     14,
00167     {{9.2735250310891226402323913737030605245203e-2,  9.2735250310891226402323913737030605245203e-2, 9.2735250310891226402323913737030605245203e-2},
00168      {7.2179424906732632079302825878890818426439e-1,  9.2735250310891226402323913737030605245203e-2, 9.2735250310891226402323913737030605245203e-2},
00169      {9.2735250310891226402323913737030605245203e-2,  7.2179424906732632079302825878890818426439e-1, 9.2735250310891226402323913737030605245203e-2},
00170      {9.2735250310891226402323913737030605245203e-2,  9.2735250310891226402323913737030605245203e-2, 7.2179424906732632079302825878890818426439e-1},
00171      {3.1088591926330060979734573376345783299262e-1,  3.1088591926330060979734573376345783299262e-1, 3.1088591926330060979734573376345783299262e-1},
00172      {6.7342242210098170607962798709626501022148e-2,  3.1088591926330060979734573376345783299262e-1, 3.1088591926330060979734573376345783299262e-1},
00173      {3.1088591926330060979734573376345783299262e-1,  6.7342242210098170607962798709626501022148e-2, 3.1088591926330060979734573376345783299262e-1},
00174      {3.1088591926330060979734573376345783299262e-1,  3.1088591926330060979734573376345783299262e-1, 6.7342242210098170607962798709626501022148e-2},
00175      {4.5503704125649637643858844819262773124457e-2,  4.5503704125649637643858844819262773124457e-2, 4.5449629587435036235614115518073722687554e-1},
00176      {4.5503704125649689297853203692977039634167e-2,  4.5449629587435031070214679630702296036583e-1, 4.5503704125649637643858844819262773124457e-2},
00177      {4.5449629587435031070214679630702296036583e-1,  4.5503704125649689297853203692977039634167e-2, 4.5503704125649637643858844819262773124457e-2},
00178      {4.5503704125649689297853203692977039634167e-2,  4.5449629587435031070214679630702296036583e-1, 4.5449629587435036235614115518073722687554e-1},
00179      {4.5449629587435031070214679630702296036583e-1,  4.5503704125649689297853203692977039634167e-2, 4.5449629587435036235614115518073722687554e-1},
00180      {4.5449629587435036235614115518073722687554e-1,  4.5449629587435036235614115518073722687554e-1, 4.5503704125649637643858844819262773124457e-2}},
00181     {1.2248840519393658257285034247721250587182e-2,
00182      1.2248840519393658257285034247721250587182e-2,
00183      1.2248840519393658257285034247721250587182e-2,
00184      1.2248840519393658257285034247721250587182e-2,
00185      1.8781320953002641799864275388881055635078e-2,
00186      1.8781320953002641799864275388881055635078e-2,
00187      1.8781320953002641799864275388881055635078e-2,
00188      1.8781320953002641799864275388881055635078e-2,
00189      7.0910034628469110730115713533762402962712e-3,
00190      7.0910034628469110730115713533762402962712e-3,
00191      7.0910034628469110730115713533762402962712e-3,
00192      7.0910034628469110730115713533762402962712e-3,
00193      7.0910034628469110730115713533762402962712e-3,
00194      7.0910034628469110730115713533762402962712e-3}
00195   },
00196   {
00197     24,
00198     {{2.1460287125915202404641618104947039637455e-1,  2.1460287125915202404641618104947039637455e-1, 2.1460287125915202404641618104947039637455e-1},
00199      {3.5619138622254392786075145685158881087635e-1,  2.1460287125915202404641618104947039637455e-1, 2.1460287125915202404641618104947039637455e-1},
00200      {2.1460287125915202404641618104947039637455e-1,  3.5619138622254392786075145685158881087635e-1, 2.1460287125915202404641618104947039637455e-1},
00201      {2.1460287125915202404641618104947039637455e-1,  2.1460287125915202404641618104947039637455e-1, 3.5619138622254392786075145685158881087635e-1},
00202      {3.2233789014227551528749363980198720305472e-1,  3.2233789014227551528749363980198720305472e-1, 3.2233789014227551528749363980198720305472e-1},
00203      {3.2986329573173454137519080594038390835837e-2,  3.2233789014227551528749363980198720305472e-1, 3.2233789014227551528749363980198720305472e-1},
00204      {3.2233789014227551528749363980198720305472e-1,  3.2986329573173454137519080594038390835837e-2, 3.2233789014227551528749363980198720305472e-1},
00205      {3.2233789014227551528749363980198720305472e-1,  3.2233789014227551528749363980198720305472e-1, 3.2986329573173454137519080594038390835837e-2},
00206      {4.0673958534611354036686370754218389288312e-2,  4.0673958534611354036686370754218389288312e-2, 4.0673958534611354036686370754218389288312e-2},
00207      {8.7797812439616593788994088773734483213506e-1,  4.0673958534611354036686370754218389288312e-2, 4.0673958534611354036686370754218389288312e-2},
00208      {4.0673958534611354036686370754218389288312e-2,  8.7797812439616593788994088773734483213506e-1, 4.0673958534611354036686370754218389288312e-2},
00209      {4.0673958534611354036686370754218389288312e-2,  4.0673958534611354036686370754218389288312e-2, 8.7797812439616593788994088773734483213506e-1},
00210      {6.3661001875017529993415628745574107721625e-2,  6.3661001875017529993415628745574107721625e-2, 2.6967233145831579864573760344791209827003e-1},
00211      {6.3661001875017541929214705659242736905843e-2,  2.6967233145831578670993852653424346908581e-1, 6.3661001875017529993415628745574107721625e-2},
00212      {2.6967233145831578670993852653424346908581e-1,  6.3661001875017541929214705659242736905843e-2, 6.3661001875017529993415628745574107721625e-2},
00213      {6.3661001875017533122869029505472299577799e-2,  6.0300566479164914449688453982083787814289e-1, 2.6967233145831580177519100420781029012621e-1},
00214      {6.0300566479164914449688453982083787814289e-1,  6.3661001875017533122869029505472299577799e-2, 2.6967233145831580177519100420781029012621e-1},
00215      {6.3661001875017545058668106419140928762018e-2,  2.6967233145831578983939192729414166094199e-1, 6.0300566479164914449688453982083787814289e-1},
00216      {2.6967233145831578983939192729414166094199e-1,  6.3661001875017545058668106419140928762018e-2, 6.0300566479164914449688453982083787814289e-1},
00217      {6.0300566479164914449688453982083787814289e-1,  2.6967233145831580177519100420781029012621e-1, 6.3661001875017533122869029505472299577799e-2},
00218      {2.6967233145831580177519100420781029012621e-1,  6.0300566479164914449688453982083787814289e-1, 6.3661001875017533122869029505472299577799e-2},
00219      {6.0300566479164913510852433754114330257437e-1,  6.3661001875017523734508827225777724009276e-2, 6.3661001875017523734508827225777724009276e-2},
00220      {6.3661001875017523734508827225777724009276e-2,  6.0300566479164913510852433754114330257437e-1, 6.3661001875017523734508827225777724009276e-2},
00221      {6.3661001875017523734508827225777724009276e-2,  6.3661001875017523734508827225777724009276e-2, 6.0300566479164913510852433754114330257437e-1}},
00222     {6.6537917096945836907319255002212225177840e-3,
00223      6.6537917096945836907319255002212225177840e-3,
00224      6.6537917096945836907319255002212225177840e-3,
00225      6.6537917096945836907319255002212225177840e-3,
00226      9.2261969239424523160433682126100883383192e-3,
00227      9.2261969239424523160433682126100883383192e-3,
00228      9.2261969239424523160433682126100883383192e-3,
00229      9.2261969239424523160433682126100883383192e-3,
00230      1.6795351758867738832382653285812235376638e-3,
00231      1.6795351758867738832382653285812235376638e-3,
00232      1.6795351758867738832382653285812235376638e-3,
00233      1.6795351758867738832382653285812235376638e-3,
00234      8.0357142857142855922177025417513774242999e-3,
00235      8.0357142857142855922177025417513774242999e-3,
00236      8.0357142857142855922177025417513774242999e-3,
00237      8.0357142857142855922177025417513774242999e-3,
00238      8.0357142857142855922177025417513774242999e-3,
00239      8.0357142857142855922177025417513774242999e-3,
00240      8.0357142857142855922177025417513774242999e-3,
00241      8.0357142857142855922177025417513774242999e-3,
00242      8.0357142857142855922177025417513774242999e-3,
00243      8.0357142857142855922177025417513774242999e-3,
00244      8.0357142857142855922177025417513774242999e-3,
00245      8.0357142857142855922177025417513774242999e-3}
00246   },
00247   {
00248     31,
00249     {{5.00000000000000e-01, 5.00000000000000e-01, 0.00000000000000e+00},
00250      {5.00000000000000e-01, 0.00000000000000e+00, 5.00000000000000e-01},
00251      {0.00000000000000e+00, 5.00000000000000e-01, 5.00000000000000e-01},
00252      {0.00000000000000e+00, 0.00000000000000e+00, 5.00000000000000e-01},
00253      {0.00000000000000e+00, 5.00000000000000e-01, 0.00000000000000e+00},
00254      {5.00000000000000e-01, 0.00000000000000e+00, 0.00000000000000e+00},
00255      {2.50000000000000e-01, 2.50000000000000e-01, 2.50000000000000e-01},
00256      {7.82131923303180e-02, 7.82131923303180e-02, 7.82131923303180e-02},
00257      {7.82131923303180e-02, 7.82131923303180e-02, 7.65360423009046e-01},
00258      {7.82131923303180e-02, 7.65360423009046e-01, 7.82131923303180e-02},
00259      {7.65360423009046e-01, 7.82131923303180e-02, 7.82131923303180e-02},
00260      {1.21843216663905e-01, 1.21843216663905e-01, 1.21843216663905e-01},
00261      {1.21843216663905e-01, 1.21843216663905e-01, 6.34470350008284e-01},
00262      {1.21843216663905e-01, 6.34470350008284e-01, 1.21843216663905e-01},
00263      {6.34470350008284e-01, 1.21843216663905e-01, 1.21843216663905e-01},
00264      {3.32539164446421e-01, 3.32539164446421e-01, 3.32539164446421e-01},
00265      {3.32539164446421e-01, 3.32539164446421e-01, 2.38250666073803e-03},
00266      {3.32539164446421e-01, 2.38250666073803e-03, 3.32539164446421e-01},
00267      {2.38250666073803e-03, 3.32539164446421e-01, 3.32539164446421e-01},
00268      {1.00000000000000e-01, 1.00000000000000e-01, 2.00000000000000e-01},
00269      {1.00000000000000e-01, 2.00000000000000e-01, 1.00000000000000e-01},
00270      {1.00000000000000e-01, 1.00000000000000e-01, 6.00000000000000e-01},
00271      {1.00000000000000e-01, 6.00000000000000e-01, 1.00000000000000e-01},
00272      {1.00000000000000e-01, 2.00000000000000e-01, 6.00000000000000e-01},
00273      {1.00000000000000e-01, 6.00000000000000e-01, 2.00000000000000e-01},
00274      {2.00000000000000e-01, 1.00000000000000e-01, 1.00000000000000e-01},
00275      {2.00000000000000e-01, 1.00000000000000e-01, 6.00000000000000e-01},
00276      {2.00000000000000e-01, 6.00000000000000e-01, 1.00000000000000e-01},
00277      {6.00000000000000e-01, 1.00000000000000e-01, 2.00000000000000e-01},
00278      {6.00000000000000e-01, 1.00000000000000e-01, 1.00000000000000e-01},
00279      {6.00000000000000e-01, 2.00000000000000e-01, 1.00000000000000e-01}},
00280     {9.70017636684250e-04,
00281      9.70017636684250e-04,
00282      9.70017636684250e-04,
00283      9.70017636684250e-04,
00284      9.70017636684250e-04,
00285      9.70017636684250e-04,
00286      1.82642234661089e-02,
00287      1.05999415244136e-02,
00288      1.05999415244136e-02,
00289      1.05999415244136e-02,
00290      1.05999415244136e-02,
00291      -6.25177401143319e-02,
00292      -6.25177401143319e-02,
00293      -6.25177401143319e-02,
00294      -6.25177401143319e-02,
00295      4.89142526307350e-03,
00296      4.89142526307350e-03,
00297      4.89142526307350e-03,
00298      4.89142526307350e-03,
00299      2.75573192239859e-02,
00300      2.75573192239859e-02,
00301      2.75573192239859e-02,
00302      2.75573192239859e-02,
00303      2.75573192239859e-02,
00304      2.75573192239859e-02,
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08480      {4.54545454545455e-02, 2.27272727272728e-01, 6.81818181818182e-01},
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08490      {1.36363636363637e-01, 2.27272727272728e-01, 5.90909090909091e-01},
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08560      {3.18181818181818e-01, 3.18181818181818e-01, 2.27272727272728e-01},
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08565      {4.09090909090909e-01, 2.27272727272728e-01, 2.27272727272728e-01},
08566      {4.09090909090909e-01, 3.18181818181818e-01, 1.36363636363637e-01},
08567      {4.09090909090909e-01, 4.09090909090909e-01, 4.54545454545455e-02},
08568      {5.00000000000000e-01, 4.54545454545455e-02, 3.18181818181818e-01},
08569      {5.00000000000000e-01, 1.36363636363637e-01, 2.27272727272728e-01},
08570      {5.00000000000000e-01, 2.27272727272728e-01, 1.36363636363637e-01},
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08572      {5.90909090909091e-01, 4.54545454545455e-02, 2.27272727272728e-01},
08573      {5.90909090909091e-01, 1.36363636363637e-01, 1.36363636363637e-01},
08574      {5.90909090909091e-01, 2.27272727272728e-01, 4.54545454545455e-02},
08575      {6.81818181818182e-01, 4.54545454545455e-02, 1.36363636363637e-01},
08576      {6.81818181818182e-01, 1.36363636363637e-01, 4.54545454545455e-02},
08577      {7.72727272727272e-01, 4.54545454545455e-02, 4.54545454545455e-02},
08578      {4.54545454545455e-02, 4.54545454545455e-02, 6.81818181818182e-01},
08579      {4.54545454545455e-02, 1.36363636363637e-01, 5.90909090909091e-01},
08580      {4.54545454545455e-02, 2.27272727272728e-01, 5.00000000000000e-01},
08581      {4.54545454545455e-02, 3.18181818181818e-01, 4.09090909090909e-01},
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10180      1.04267676620000e-05,
10181      1.04267676620000e-05,
10182      1.04267676620000e-05,
10183      1.04267676620000e-05,
10184      1.04267676620000e-05,
10185      1.04267676620000e-05,
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10187      1.04267676620000e-05,
10188      1.04267676620000e-05,
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10190      -4.40873201250000e-08,
10191      -4.40873201250000e-08,
10192      -4.40873201250000e-08,
10193      1.32583750000000e-11}
10194   } // end Tet
10195 
10196 };
10197     
10198 } // end namespace Intrepid