## File: Gauss_Triangle.h

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getdp 2.9.2+dfsg1-1
 `123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123` ``````// GetDP - Copyright (C) 1997-2016 P. Dular and C. Geuzaine, University of Liege // // See the LICENSE.txt file for license information. Please report all // bugs and problems to the public mailing list . /* 1 integration point */ static double xt1[1] = {0.333333333333333}; static double yt1[1] = {0.333333333333333}; static double pt1[1] = {0.5}; /* 3 integration points */ static double xt3[3] = {0.16666666666666,0.66666666666666,0.16666666666666}; static double yt3[3] = {0.16666666666666,0.16666666666666,0.66666666666666}; static double pt3[3] = {0.16666666666666,0.16666666666666,0.16666666666666}; /* 4 integration points */ static double xt4[4] = {0.333333333333333,0.6,0.2,0.2}; static double yt4[4] = {0.3333333333333333,0.2,0.6,0.2}; static double pt4[4] = {-0.28125,.260416666666,.260416666666,.260416666666}; /* 6 integration points */ static double xt6[6] = {0.816847572980459,0.091576213509771,0.091576213509771, 0.108103018168070,0.445948490915965,0.445948490915965}; static double yt6[6] = {0.091576213509771,0.816847572980459,0.091576213509771, 0.445948490915965,0.108103018168070,0.445948490915965}; static double pt6[6] = {0.054975871827661,0.054975871827661,0.054975871827661, 0.111690794839,0.111690794839,0.111690794839}; /* 7 integration points */ static double xt7[7] = {0.333333333333333,0.797426985353087,0.101286507323456, 0.101286507323456,0.470142064105115,0.059715871789770, 0.470142064105115}; static double yt7[7] = {0.333333333333333,0.101286507323456,0.797426985353087, 0.101286507323456,0.059715871789770,0.470142064105115, 0.470142064105115}; static double pt7[7] = {0.112500000000000,0.062969590272414,0.062969590272414, 0.062969590272414,0.066197076394253,0.066197076394253, 0.066197076394253}; /* 12 integration points */ static double xt12[12] = {0.873821971016996,0.063089014491502,0.063089014491502, 0.501426509658179,0.249286745170910,0.249286745170910, 0.636502499121399,0.310352451033785,0.636502499121399, 0.310352451033785,0.053145049844816,0.053145049844816}; static double yt12[12] = {0.063089014491502,0.873821971016996,0.063089014491502, 0.249286745170910,0.501426509658179,0.249286745170910, 0.310352451033785,0.636502499121399,0.053145049844816, 0.053145049844816,0.310352451033785,0.636502499121399}; static double pt12[12] = {0.025422453185104,0.025422453185104,0.025422453185104, 0.058393137863189,0.058393137863189,0.058393137863189, 0.041425537809187,0.041425537809187,0.041425537809187, 0.041425537809187,0.041425537809187,0.041425537809187}; /* 13 integration points */ static double xt13[13] = {0.333333333333333,0.479308067841920,0.260345966079040, 0.260345966079040,0.869739794195568,0.065130102902216, 0.065130102902216,0.048690315425316,0.312865496004874, 0.638444188569810,0.048690315425316,0.312865496004874, 0.638444188569810}; static double yt13[13] = {0.333333333333333,0.260345966079040,0.479308067841920, 0.260345966079040,0.065130102902216,0.869739794195568, 0.065130102902216,0.312865496004874,0.048690315425316, 0.048690315425316,0.638444188569810,0.638444188569810, 0.312865496004874}; static double pt13[13] = {-0.074785022233841,0.087807628716604,0.087807628716604, 0.087807628716604,0.026673617804419,0.026673617804419, 0.026673617804419,0.038556880445128,0.038556880445128, 0.038556880445128,0.038556880445128,0.038556880445128, 0.038556880445128}; /* 16 integration points */ static double xt16[16] = {0.333333333333333,0.081414823414554,0.459292588292723, 0.459292588292723,0.658861384496480,0.170569307751760, 0.170569307751760,0.898905543365938,0.050547228317031, 0.050547228317031,0.008394777409958,0.728492392955404, 0.263112829634638,0.008394777409958,0.263112829634638, 0.728492392955404}; static double yt16[16] = {0.333333333333333,0.459292588292723,0.081414823414554, 0.459292588292723,0.170569307751760,0.658861384496480, 0.170569307751760,0.050547228317031,0.898905543365938, 0.050547228317031,0.728492392955404,0.008394777409958, 0.008394777409958,0.263112829634638,0.728492392955404, 0.263112829634638}; static double pt16[16] = {0.072157803838894,0.047545817133643,0.047545817133643, 0.047545817133643,0.051608685267359,0.051608685267359, 0.051608685267359,0.016229248811599,0.016229248811599, 0.016229248811599,0.013615157087217,0.013615157087217, 0.013615157087217,0.013615157087217,0.013615157087217, 0.013615157087217}; /* GAUSS TRIANGLE WITH 1/R SINGULARITY OVER NODE (0,0,0) ref.: H. L. G. Pina, J. L. M. Fernandes, C. A. Brebbia, Some numerical integration formulae over triangles and squares with a 1/R singularity, Appl. Math. Modelling, Vol 5, June 1981, pp 209--211 */ /* 1 integration point */ static double xts1[1] = {0.25}; static double yts1[1] = {0.25}; static double pts1[1] = {1.24645048}; /* 3 integration points */ static double xts3[3] = {0.16666667,0.81742619,0.18257381}; static double yts3[3] = {0.16666667,0.18257381,0.81742619}; static double pts3[3] = {0.93483790,0.15580629,0.15580629}; /* 4 integration points */ static double xts4[4] = {0.16385495,0.61114353,0.04756957,0.17753138}; static double yts4[4] = {0.04756957,0.17753138,0.16385495,0.61114353}; static double pts4[4] = {0.31161231,0.31161293,0.31161231,0.31161293}; ``````