data_function.h

cfd求解器使用与gmsh网格的求解

  {"BF_CurlPerpendicularEdge_2E", (CAST)BF_CurlPerpendicularEdge_2E,
                                  (CAST)BF_Zero, (CAST)BF_PerpendicularEdge_2E, 1., ALL },
  {"BF_CurlPerpendicularEdge_2F", (CAST)BF_CurlPerpendicularEdge_2F, 
                                  (CAST)BF_Zero, (CAST)BF_PerpendicularEdge_2F, 1., QUA|HEX|PRI },
  {"BF_CurlPerpendicularEdge_2V", (CAST)BF_CurlPerpendicularEdge_2V,
                                  (CAST)BF_Zero, (CAST)BF_PerpendicularEdge_2V, 1., QUA|HEX },
  {"BF_CurlPerpendicularEdge_3E", (CAST)BF_CurlPerpendicularEdge_3E, 
                                  (CAST)BF_Zero, (CAST)BF_PerpendicularEdge_3E, 2., ALL },
  {"BF_CurlPerpendicularEdge_3F", (CAST)BF_CurlPerpendicularEdge_3F, 
                                  (CAST)BF_Zero, (CAST)BF_PerpendicularEdge_3F, 2., TRI|QUA|TET|HEX|PRI },
  {"BF_CurlPerpendicularEdge_3V", (CAST)BF_CurlPerpendicularEdge_3V, 
                                  (CAST)BF_Zero, (CAST)BF_PerpendicularEdge_3V, 2., HEX|PRI },

  {"BF_GroupOfPerpendicularEdges",    (CAST)BF_GroupOfPerpendicularEdges,   
                                      (CAST)BF_CurlGroupOfPerpendicularEdges,    (CAST)BF_Zero, 1., ALL },
  {"BF_GroupOfPerpendicularEdges_1N", (CAST)BF_GroupOfPerpendicularEdges,    
                                      (CAST)BF_CurlGroupOfPerpendicularEdges,    (CAST)BF_Zero, 1., ALL }, 
  {"BF_GroupOfPerpendicularEdges_2E", (CAST)BF_GroupOfPerpendicularEdges_2E, 
                                      (CAST)BF_CurlGroupOfPerpendicularEdges_2E, (CAST)BF_Zero, 2., ALL }, 
  {"BF_GroupOfPerpendicularEdges_2F", (CAST)BF_GroupOfPerpendicularEdges_2F, 
                                      (CAST)BF_CurlGroupOfPerpendicularEdges_2F, (CAST)BF_Zero, 2., QUA|HEX|PRI }, 
  {"BF_GroupOfPerpendicularEdges_2V", (CAST)BF_GroupOfPerpendicularEdges_2V, 
                                      (CAST)BF_CurlGroupOfPerpendicularEdges_2V, (CAST)BF_Zero, 2., QUA|HEX }, 
  {"BF_GroupOfPerpendicularEdges_3E", (CAST)BF_GroupOfPerpendicularEdges_3E, 
                                      (CAST)BF_CurlGroupOfPerpendicularEdges_3E, (CAST)BF_Zero, 3., ALL }, 
  {"BF_GroupOfPerpendicularEdges_3F", (CAST)BF_GroupOfPerpendicularEdges_3F, 
                                      (CAST)BF_CurlGroupOfPerpendicularEdges_3F, (CAST)BF_Zero, 3., TRI|QUA|TET|HEX|PRI }, 
  {"BF_GroupOfPerpendicularEdges_3V", (CAST)BF_GroupOfPerpendicularEdges_3V, 
                                      (CAST)BF_CurlGroupOfPerpendicularEdges_3V, (CAST)BF_Zero, 3., HEX|PRI }, 

  {"BF_CurlGroupOfPerpendicularEdges",    (CAST)BF_CurlGroupOfPerpendicularEdges,    
                                          (CAST)BF_Zero, (CAST)BF_GroupOfPerpendicularEdges,    0., ALL },
  {"BF_CurlGroupOfPerpendicularEdges_1N", (CAST)BF_CurlGroupOfPerpendicularEdges,   
                                          (CAST)BF_Zero, (CAST)BF_GroupOfPerpendicularEdges,    0., ALL },
  {"BF_CurlGroupOfPerpendicularEdges_2E", (CAST)BF_CurlGroupOfPerpendicularEdges_2E, 
                                          (CAST)BF_Zero, (CAST)BF_GroupOfPerpendicularEdges_2E, 1., ALL },
  {"BF_CurlGroupOfPerpendicularEdges_2F", (CAST)BF_CurlGroupOfPerpendicularEdges_2F, 
                                          (CAST)BF_Zero, (CAST)BF_GroupOfPerpendicularEdges_2F, 1., QUA|HEX|PRI },
  {"BF_CurlGroupOfPerpendicularEdges_2V", (CAST)BF_CurlGroupOfPerpendicularEdges_2V, 
                                          (CAST)BF_Zero, (CAST)BF_GroupOfPerpendicularEdges_2V, 1., QUA|HEX },
  {"BF_CurlGroupOfPerpendicularEdges_3E", (CAST)BF_CurlGroupOfPerpendicularEdges_3E, 
                                          (CAST)BF_Zero, (CAST)BF_GroupOfPerpendicularEdges_3E, 2., ALL },
  {"BF_CurlGroupOfPerpendicularEdges_3F", (CAST)BF_CurlGroupOfPerpendicularEdges_3F, 
                                          (CAST)BF_Zero, (CAST)BF_GroupOfPerpendicularEdges_3F, 2., TRI|QUA|TET|HEX|PRI },
  {"BF_CurlGroupOfPerpendicularEdges_3V", (CAST)BF_CurlGroupOfPerpendicularEdges_3V, 
                                          (CAST)BF_Zero, (CAST)BF_GroupOfPerpendicularEdges_3V, 2., HEX|PRI },


  /* H(div) basis Functions and their divergences */

  {"BF_Facet", (CAST)BF_Facet, (CAST)BF_DivFacet, (CAST)BF_Zero, 0.5, ALL },

  {"BF_DivFacet", (CAST)BF_DivFacet, (CAST)BF_Zero, (CAST)BF_Facet, 0., ALL },

  /* Current along wire */
  {"BF_Wire",    (CAST)BF_Wire, (CAST)BF_DivWire, (CAST)BF_Zero, 1., LIN },   
  {"BF_DivWire", (CAST)BF_DivWire, (CAST)BF_Zero, (CAST)BF_Wire, 0., LIN },        

  /* H(div, perp) basis Functions and their divergences */

  {"BF_PerpendicularFacet",      (CAST)BF_PerpendicularFacet,    
                                 (CAST)BF_DivPerpendicularFacet,      (CAST)BF_Zero, 0.5, ALL },
  {"BF_PerpendicularFacet_1E",   (CAST)BF_PerpendicularFacet,    
                                 (CAST)BF_DivPerpendicularFacet,      (CAST)BF_Zero, 0.5, ALL }, 
  {"BF_PerpendicularFacet_2E",   (CAST)BF_PerpendicularFacet_2E, 
                                 (CAST)BF_DivPerpendicularFacet_2E,   (CAST)BF_Zero, 1.,  ALL }, 
  {"BF_PerpendicularFacet_2F",   (CAST)BF_PerpendicularFacet_2F, 
                                 (CAST)BF_DivPerpendicularFacet_2F,   (CAST)BF_Zero, 1.,  ALL }, 
  {"BF_PerpendicularFacet_2V",   (CAST)BF_PerpendicularFacet_2V, 
                                 (CAST)BF_DivPerpendicularFacet_2V,   (CAST)BF_Zero, 1.,  ALL }, 
  {"BF_PerpendicularFacet_3E",   (CAST)BF_PerpendicularFacet_3E, 
                                 (CAST)BF_DivPerpendicularFacet_3E,   (CAST)BF_Zero, 1.5,  ALL }, 
  {"BF_PerpendicularFacet_3F_a", (CAST)BF_PerpendicularFacet_3F_a, 
                                 (CAST)BF_DivPerpendicularFacet_3F_a, (CAST)BF_Zero, 1.5,  ALL }, 
  {"BF_PerpendicularFacet_3F_b", (CAST)BF_PerpendicularFacet_3F_b, 
                                 (CAST)BF_DivPerpendicularFacet_3F_b, (CAST)BF_Zero, 1.5,  ALL }, 
  {"BF_PerpendicularFacet_3F_c", (CAST)BF_PerpendicularFacet_3F_c,
                                 (CAST)BF_DivPerpendicularFacet_3F_c, (CAST)BF_Zero, 1.5,  ALL }, 
  {"BF_PerpendicularFacet_3V",   (CAST)BF_PerpendicularFacet_3V, 
                                 (CAST)BF_DivPerpendicularFacet_3V,   (CAST)BF_Zero, 1.5,  ALL }, 
  {"BF_PerpendicularFacet_4E",   (CAST)BF_PerpendicularFacet_4E, 
                                 (CAST)BF_DivPerpendicularFacet_4E,   (CAST)BF_Zero, 2.,  ALL }, 
  {"BF_PerpendicularFacet_4F",   (CAST)BF_PerpendicularFacet_4F, 
                                 (CAST)BF_DivPerpendicularFacet_4F,   (CAST)BF_Zero, 2.,  ALL }, 
  {"BF_PerpendicularFacet_4V",   (CAST)BF_PerpendicularFacet_4V, 
                                 (CAST)BF_DivPerpendicularFacet_4V,   (CAST)BF_Zero, 2.,  ALL }, 

  {"BF_DivPerpendicularFacet",      (CAST)BF_DivPerpendicularFacet,      
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet,      0., ALL },
  {"BF_DivPerpendicularFacet_1E",   (CAST)BF_DivPerpendicularFacet,      
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet,      0., ALL },
  {"BF_DivPerpendicularFacet_2E",   (CAST)BF_DivPerpendicularFacet_2E,   
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet_2E,   0., ALL },
  {"BF_DivPerpendicularFacet_2F",   (CAST)BF_DivPerpendicularFacet_2F,   
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet_2F,   0., ALL },
  {"BF_DivPerpendicularFacet_2V",   (CAST)BF_DivPerpendicularFacet_2V,  
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet_2V,   0., ALL },
  {"BF_DivPerpendicularFacet_3E",   (CAST)BF_DivPerpendicularFacet_3E,   
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet_3E,   1., ALL },
  {"BF_DivPerpendicularFacet_3F_a", (CAST)BF_DivPerpendicularFacet_3F_a, 
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet_3F_a, 1., ALL },
  {"BF_DivPerpendicularFacet_3F_b", (CAST)BF_DivPerpendicularFacet_3F_b, 
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet_3F_b, 1., ALL },
  {"BF_DivPerpendicularFacet_3F_c", (CAST)BF_DivPerpendicularFacet_3F_c, 
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet_3F_c, 1., ALL },
  {"BF_DivPerpendicularFacet_3V",   (CAST)BF_DivPerpendicularFacet_3V,  
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet_3V,   1., ALL },
  {"BF_DivPerpendicularFacet_4E",   (CAST)BF_DivPerpendicularFacet_4E,   
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet_4E,   1., ALL },
  {"BF_DivPerpendicularFacet_4F",   (CAST)BF_DivPerpendicularFacet_4F,   
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet_4F,   1., ALL },
  {"BF_DivPerpendicularFacet_4V",   (CAST)BF_DivPerpendicularFacet_4V,   
                                    (CAST)BF_Zero, (CAST)BF_PerpendicularFacet_4V,   1., ALL },


  /* L^2 basis Functions */

  {"BF_Volume",  (CAST)BF_Volume,  (CAST)BF_Volume,  (CAST)BF_Zero, 0., ALL },
  {"BF_VolumeX", (CAST)BF_VolumeX, (CAST)BF_VolumeX, (CAST)BF_Zero, 0., ALL },
  {"BF_VolumeY", (CAST)BF_VolumeY, (CAST)BF_VolumeY, (CAST)BF_Zero, 0., ALL },
  {"BF_VolumeZ", (CAST)BF_VolumeZ, (CAST)BF_VolumeZ, (CAST)BF_Zero, 0., ALL },

  /* (H^1)^3 Basis Functions */

  {"BF_NodeX" , (CAST)BF_NodeX , (CAST)BF_NodeX_D1 , (CAST)BF_NodeX_D2 , 1. , ALL },
  {"BF_NodeY" , (CAST)BF_NodeY , (CAST)BF_NodeY_D1 , (CAST)BF_NodeY_D2 , 1. , ALL },
  {"BF_NodeZ" , (CAST)BF_NodeZ , (CAST)BF_NodeZ_D1 , (CAST)BF_NodeZ_D2 , 1. , ALL },

  {"BF_NodeX_2E" , (CAST)BF_NodeX_2E , (CAST)BF_NodeX_D1_2E , (CAST)BF_NodeX_D2_2E , 2. , ALL },
  {"BF_NodeY_2E" , (CAST)BF_NodeY_2E , (CAST)BF_NodeY_D1_2E , (CAST)BF_NodeY_D2_2E , 2. , ALL },
  {"BF_NodeZ_2E" , (CAST)BF_NodeZ_2E , (CAST)BF_NodeZ_D1_2E , (CAST)BF_NodeZ_D2_2E , 2. , ALL },

  {"BF_NodeX_2F" , (CAST)BF_NodeX_2F , (CAST)BF_NodeX_D1_2F , (CAST)BF_NodeX_D2_2F , 2. , QUA|HEX|PRI },
  {"BF_NodeY_2F" , (CAST)BF_NodeY_2F , (CAST)BF_NodeY_D1_2F , (CAST)BF_NodeY_D2_2F , 2. , QUA|HEX|PRI },
  {"BF_NodeZ_2F" , (CAST)BF_NodeZ_2F , (CAST)BF_NodeZ_D1_2F , (CAST)BF_NodeZ_D2_2F , 2. , QUA|HEX|PRI },

  {"BF_NodeX_2V" , (CAST)BF_NodeX_2V , (CAST)BF_NodeX_D1_2V , (CAST)BF_NodeX_D2_2V , 2. , HEX|PRI },
  {"BF_NodeY_2V" , (CAST)BF_NodeY_2V , (CAST)BF_NodeY_D1_2V , (CAST)BF_NodeY_D2_2V , 2. , HEX|PRI },
  {"BF_NodeZ_2V" , (CAST)BF_NodeZ_2V , (CAST)BF_NodeZ_D1_2V , (CAST)BF_NodeZ_D2_2V , 2. , HEX|PRI },

  {"BF_NodeX_3E" , (CAST)BF_NodeX_3E , (CAST)BF_NodeX_D1_3E , (CAST)BF_NodeX_D2_3E , 3. , ALL },
  {"BF_NodeY_3E" , (CAST)BF_NodeY_3E , (CAST)BF_NodeY_D1_3E , (CAST)BF_NodeY_D2_3E , 3. , ALL },
  {"BF_NodeZ_3E" , (CAST)BF_NodeZ_3E , (CAST)BF_NodeZ_D1_3E , (CAST)BF_NodeZ_D2_3E , 3. , ALL },

  {"BF_NodeX_3F" , (CAST)BF_NodeX_3F , (CAST)BF_NodeX_D1_3F , (CAST)BF_NodeX_D2_3F , 3. , TRI|QUA|TET|HEX|PRI },
  {"BF_NodeY_3F" , (CAST)BF_NodeY_3F , (CAST)BF_NodeY_D1_3F , (CAST)BF_NodeY_D2_3F , 3. , TRI|QUA|TET|HEX|PRI },
  {"BF_NodeZ_3F" , (CAST)BF_NodeZ_3F , (CAST)BF_NodeZ_D1_3F , (CAST)BF_NodeZ_D2_3F , 3. , TRI|QUA|TET|HEX|PRI },

  {"BF_NodeX_3V" , (CAST)BF_NodeX_3V , (CAST)BF_NodeX_D1_3V , (CAST)BF_NodeX_D2_3V , 3. , HEX|PRI },
  {"BF_NodeY_3V" , (CAST)BF_NodeY_3V , (CAST)BF_NodeY_D1_3V , (CAST)BF_NodeY_D2_3V , 3. , HEX|PRI },
  {"BF_NodeZ_3V" , (CAST)BF_NodeZ_3V , (CAST)BF_NodeZ_D1_3V , (CAST)BF_NodeZ_D2_3V , 3. , HEX|PRI },


  {"BF_NodeX_D1" , (CAST)BF_NodeX_D1 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_NodeY_D1" , (CAST)BF_NodeY_D1 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_NodeZ_D1" , (CAST)BF_NodeZ_D1 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },

  {"BF_NodeX_D1_2E" , (CAST)BF_NodeX_D1_2E , (CAST)BF_Zero , (CAST)BF_Zero , 1. , ALL },
  {"BF_NodeY_D1_2E" , (CAST)BF_NodeY_D1_2E , (CAST)BF_Zero , (CAST)BF_Zero , 1. , ALL },
  {"BF_NodeZ_D1_2E" , (CAST)BF_NodeZ_D1_2E , (CAST)BF_Zero , (CAST)BF_Zero , 1. , ALL },

  {"BF_NodeX_D1_2F" , (CAST)BF_NodeX_D1_2F , (CAST)BF_Zero , (CAST)BF_Zero , 1. , QUA|HEX|PRI },
  {"BF_NodeY_D1_2F" , (CAST)BF_NodeY_D1_2F , (CAST)BF_Zero , (CAST)BF_Zero , 1. , QUA|HEX|PRI },
  {"BF_NodeZ_D1_2F" , (CAST)BF_NodeZ_D1_2F , (CAST)BF_Zero , (CAST)BF_Zero , 1. , QUA|HEX|PRI },

  {"BF_NodeX_D1_2V" , (CAST)BF_NodeX_D1_2V , (CAST)BF_Zero , (CAST)BF_Zero , 1. , HEX|PRI },
  {"BF_NodeY_D1_2V" , (CAST)BF_NodeY_D1_2V , (CAST)BF_Zero , (CAST)BF_Zero , 1. , HEX|PRI },
  {"BF_NodeZ_D1_2V" , (CAST)BF_NodeZ_D1_2V , (CAST)BF_Zero , (CAST)BF_Zero , 1. , HEX|PRI },

  {"BF_NodeX_D1_3E" , (CAST)BF_NodeX_D1_3E , (CAST)BF_Zero , (CAST)BF_Zero , 2. , ALL },
  {"BF_NodeY_D1_3E" , (CAST)BF_NodeY_D1_3E , (CAST)BF_Zero , (CAST)BF_Zero , 2. , ALL },
  {"BF_NodeZ_D1_3E" , (CAST)BF_NodeZ_D1_3E , (CAST)BF_Zero , (CAST)BF_Zero , 2. , ALL },

  {"BF_NodeX_D1_3F" , (CAST)BF_NodeX_D1_3F , (CAST)BF_Zero , (CAST)BF_Zero , 2. , TRI|QUA|TET|HEX|PRI },
  {"BF_NodeY_D1_3F" , (CAST)BF_NodeY_D1_3F , (CAST)BF_Zero , (CAST)BF_Zero , 2. , TRI|QUA|TET|HEX|PRI },
  {"BF_NodeZ_D1_3F" , (CAST)BF_NodeZ_D1_3F , (CAST)BF_Zero , (CAST)BF_Zero , 2. , TRI|QUA|TET|HEX|PRI },

  {"BF_NodeX_D1_3V" , (CAST)BF_NodeX_D1_3V , (CAST)BF_Zero , (CAST)BF_Zero , 2. , HEX|PRI },
  {"BF_NodeY_D1_3V" , (CAST)BF_NodeY_D1_3V , (CAST)BF_Zero , (CAST)BF_Zero , 2. , HEX|PRI },
  {"BF_NodeZ_D1_3V" , (CAST)BF_NodeZ_D1_3V , (CAST)BF_Zero , (CAST)BF_Zero , 2. , HEX|PRI },


  {"BF_NodeX_D2" , (CAST)BF_NodeX_D2 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_NodeY_D2" , (CAST)BF_NodeY_D2 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_NodeZ_D2" , (CAST)BF_NodeZ_D2 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },

  {"BF_NodeX_D2_2E" , (CAST)BF_NodeX_D2_2E , (CAST)BF_Zero , (CAST)BF_Zero , 1. , ALL },
  {"BF_NodeY_D2_2E" , (CAST)BF_NodeY_D2_2E , (CAST)BF_Zero , (CAST)BF_Zero , 1. , ALL },
  {"BF_NodeZ_D2_2E" , (CAST)BF_NodeZ_D2_2E , (CAST)BF_Zero , (CAST)BF_Zero , 1. , ALL },

  {"BF_NodeX_D2_2F" , (CAST)BF_NodeX_D2_2F , (CAST)BF_Zero , (CAST)BF_Zero , 1. , QUA|HEX|PRI },
  {"BF_NodeY_D2_2F" , (CAST)BF_NodeY_D2_2F , (CAST)BF_Zero , (CAST)BF_Zero , 1. , QUA|HEX|PRI },
  {"BF_NodeZ_D2_2F" , (CAST)BF_NodeZ_D2_2F , (CAST)BF_Zero , (CAST)BF_Zero , 1. , QUA|HEX|PRI },

  {"BF_NodeX_D2_2V" , (CAST)BF_NodeX_D2_2V , (CAST)BF_Zero , (CAST)BF_Zero , 1. , HEX|PRI },
  {"BF_NodeY_D2_2V" , (CAST)BF_NodeY_D2_2V , (CAST)BF_Zero , (CAST)BF_Zero , 1. , HEX|PRI },
  {"BF_NodeZ_D2_2V" , (CAST)BF_NodeZ_D2_2V , (CAST)BF_Zero , (CAST)BF_Zero , 1. , HEX|PRI },

  {"BF_NodeX_D2_3E" , (CAST)BF_NodeX_D2_3E , (CAST)BF_Zero , (CAST)BF_Zero , 2. , ALL },
  {"BF_NodeY_D2_3E" , (CAST)BF_NodeY_D2_3E , (CAST)BF_Zero , (CAST)BF_Zero , 2. , ALL },
  {"BF_NodeZ_D2_3E" , (CAST)BF_NodeZ_D2_3E , (CAST)BF_Zero , (CAST)BF_Zero , 2. , ALL },

  {"BF_NodeX_D2_3F" , (CAST)BF_NodeX_D2_3F , (CAST)BF_Zero , (CAST)BF_Zero , 2. , TRI|QUA|TET|HEX|PRI },
  {"BF_NodeY_D2_3F" , (CAST)BF_NodeY_D2_3F , (CAST)BF_Zero , (CAST)BF_Zero , 2. , TRI|QUA|TET|HEX|PRI },
  {"BF_NodeZ_D2_3F" , (CAST)BF_NodeZ_D2_3F , (CAST)BF_Zero , (CAST)BF_Zero , 2. , TRI|QUA|TET|HEX|PRI },

  {"BF_NodeX_D2_3V" , (CAST)BF_NodeX_D2_3V , (CAST)BF_Zero , (CAST)BF_Zero , 2. , HEX|PRI },
  {"BF_NodeY_D2_3V" , (CAST)BF_NodeY_D2_3V , (CAST)BF_Zero , (CAST)BF_Zero , 2. , HEX|PRI },
  {"BF_NodeZ_D2_3V" , (CAST)BF_NodeZ_D2_3V , (CAST)BF_Zero , (CAST)BF_Zero , 2. , HEX|PRI },


  {"BF_NodeX_D12" , (CAST)BF_NodeX_D12 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_NodeY_D12" , (CAST)BF_NodeY_D12 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_NodeZ_D12" , (CAST)BF_NodeZ_D12 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },

  {"BF_NodeX_D12_2E" , (CAST)BF_NodeX_D12_2E , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_NodeY_D12_2E" , (CAST)BF_NodeY_D12_2E , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_NodeZ_D12_2E" , (CAST)BF_NodeZ_D12_2E , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },


  {"BF_GroupOfNodesX" , (CAST)BF_GroupOfNodesX , (CAST)BF_GroupOfNodesX_D1 , (CAST)BF_GroupOfNodesX_D2 , 1. , ALL },
  {"BF_GroupOfNodesY" , (CAST)BF_GroupOfNodesY , (CAST)BF_GroupOfNodesY_D1 , (CAST)BF_GroupOfNodesY_D2 , 1. , ALL },
  {"BF_GroupOfNodesZ" , (CAST)BF_GroupOfNodesZ , (CAST)BF_GroupOfNodesZ_D1 , (CAST)BF_GroupOfNodesZ_D2 , 1. , ALL },

  {"BF_GroupOfNodesX_D1" , (CAST)BF_GroupOfNodesX_D1 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_GroupOfNodesY_D1" , (CAST)BF_GroupOfNodesY_D1 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_GroupOfNodesZ_D1" , (CAST)BF_GroupOfNodesZ_D1 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },

  {"BF_GroupOfNodesX_D2" , (CAST)BF_GroupOfNodesX_D2 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_GroupOfNodesY_D2" , (CAST)BF_GroupOfNodesY_D2 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_GroupOfNodesZ_D2" , (CAST)BF_GroupOfNodesZ_D2 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },

  {"BF_GroupOfNodesX_D12" , (CAST)BF_GroupOfNodesX_D12 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_GroupOfNodesY_D12" , (CAST)BF_GroupOfNodesY_D12 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },
  {"BF_GroupOfNodesZ_D12" , (CAST)BF_GroupOfNodesZ_D12 , (CAST)BF_Zero , (CAST)BF_Zero , 0. , ALL },


  /* Special basis Functions */

  {"BF_Zero", (CAST)BF_Zero, (CAST)BF_Zero, (CAST)BF_Zero, 0., ALL },
  {"BF_One",  (CAST)BF_One,  (CAST)BF_One,  (CAST)BF_One,  0., ALL },

  {"BF_Region"  , (CAST)BF_Region   , (CAST)BF_dRegion  , (CAST)BF_Zero , 0. , ALL },
  {"BF_RegionX" , (CAST)BF_RegionX  , (CAST)BF_dRegionX , (CAST)BF_Zero , 0. , ALL },
  {"BF_RegionY" , (CAST)BF_RegionY  , (CAST)BF_dRegionY , (CAST)BF_Zero , 0. , ALL },
  {"BF_RegionZ" , (CAST)BF_RegionZ  , (CAST)BF_dRegionZ , (CAST)BF_Zero , 0. , ALL },

  {"BF_Global"  , (CAST)BF_Global   , (CAST)BF_dGlobal , (CAST)BF_Zero , 0. , ALL },
  {"BF_dGlobal" , (CAST)BF_dGlobal  , (CAST)BF_Zero    , (CAST)BF_Global, 0. , ALL },

  {NULL , NULL , NULL , NULL , 0. , ALL }
} ;