C 代码 返回用于近似积分的费利帕正交规则 在 3D 金字塔的内部.rar

21 January 2020 08:14:29 AM PYRAMID_FELIPPA_RULE_TEST C version Test the PYRAMID_FELIPPA_RULE library. PYRAMID_UNIT_MONOMIAL_TEST For the unit pyramid, PYRAMID_UNIT_MONOMIAL returns the exact value of the integral of X^ALPHA Y^BETA Z^GAMMA Volume = 1.33333 ALPHA BETA GAMMA INTEGRAL 0 0 0 1.33333 0 0 1 0.333333 0 0 2 0.133333 0 0 3 0.0666667 0 0 4 0.0380952 0 1 0 0 0 1 1 0 0 1 2 0 0 1 3 0 0 2 0 0.266667 0 2 1 0.0444444 0 2 2 0.0126984 0 3 0 0 0 3 1 0 0 4 0 0.114286 1 0 0 0 1 0 1 0 1 0 2 0 1 0 3 0 1 1 0 0 1 1 1 0 1 1 2 0 1 2 0 0 1 2 1 0 1 3 0 0 2 0 0 0.266667 2 0 1 0.0444444 2 0 2 0.0126984 2 1 0 0 2 1 1 0 2 2 0 0.0634921 3 0 0 0 3 0 1 0 3 1 0 0 4 0 0 0.114286 PYRAMID_UNIT_QUAD_TEST For the unit pyramid, we approximate monomial integrals with: PYRAMID_UNIT_O01, PYRAMID_UNIT_O05, PYRAMID_UNIT_O06, PYRAMID_UNIT_O08, PYRAMID_UNIT_O08b, PYRAMID_UNIT_O09, PYRAMID_UNIT_O13, PYRAMID_UNIT_O18, PYRAMID_UNIT_O27, PYRAMID_UNIT_O48, Monomial exponents: 0 0 0 1 1.33333 5 1.33333 6 1.33333 8 1.33333 8 1.33333 9 1.33333 13 1.33333 18 1.33333 27 1.33333 48 1.33333 Exact 1.33333 Monomial exponents: 0 0 1 1 0.333333 5 0.333333 6 0.333333 8 0.333333 8 0.333333 9 0.333333 13 0.333333 18 0.333333 27 0.333333 48 0.333333 Exact 0.333333 Monomial exponents: 2 0 0 1 0 5 0.266667 6 0.266667 8 0.266667 8 0.266667 9 0.266667 13 0.266667 18 0.266667 27 0.266667 48 0.266667 Exact 0.266667 Monomial exponents: 0 2 0 1 0 5 0.266667 6 0.266667 8 0.266667 8 0.266667 9 0.266667 13 0.266667 18 0.266667 27 0.266667 48 0.266667 Exact 0.266667 Monomial exponents: 0 0 2 1 0.0833333 5 0.133333 6 0.133333 8 0.133333 8 0.133333 9 0.133333 13 0.133333 18 0.133333 27 0.133333 48 0.133333 Exact 0.133333 Monomial exponents: 2 0 1 1 0 5 0.0444444 6 0.0444444 8 0.0444444 8 0.0444444 9 0.0444444 13 0.0444444 18 0.0444444 27 0.0444444 48 0.0444444 Exact 0.0444444 Monomial exponents: 0 2 1 1 0 5 0.0444444 6 0.0444444 8 0.0444444 8 0.0444444 9 0.0444444 13 0.0444444 18 0.0444444 27 0.0444444 48 0.0444444 Exact 0.0444444 Monomial exponents: 0 0 3 1 0.0208333 5 0.0766667 6 0.0773148 8 0.0666667 8 0.0647619 9 0.0669312 13 0.0666504 18 0.0666667 27 0.0666667 48 0.0666667 Exact 0.0666667 Monomial exponents: 4 0 0 1 0 5 0.0632099 6 0.0634921 8 0.0632099 8 0.0632099 9 0.0634921 13 0.0664669 18 0.113778 27 0.114286 48 0.114286 Exact 0.114286 Monomial exponents: 2 2 0 1 0 5 0.0632099 6 0.0634921 8 0.0632099 8 0.0632099 9 0.0634921 13 0.0634921 18 0.0632099 27 0.0634921 48 0.0634921 Exact 0.0634921 Monomial exponents: 0 4 0 1 0 5 0.0632099 6 0.0634921 8 0.0632099 8 0.0632099 9 0.0634921 13 0.0664669 18 0.113778 27 0.114286 48 0.114286 Exact 0.114286 Monomial exponents: 2 0 2 1 0 5 0.00740741 6 0.00740741 8 0.0118519 8 0.0126984 9 0.0126984 13 0.0126984 18 0.0118519 27 0.0126984 48 0.0126984 Exact 0.0126984 Monomial exponents: 0 2 2 1 0 5 0.00740741 6 0.00740741 8 0.0118519 8 0.0126984 9 0.0126984 13 0.0126984 18 0.0118519 27 0.0126984 48 0.0126984 Exact 0.0126984 Monomial exponents: 0 0 4 1 0.00520833 5 0.0508889 6 0.0523148 8 0.0355556 8 0.0330884 9 0.0392038 13 0.0379673 18 0.0355556 27 0.0380952 48 0.0380952 Exact 0.0380952 Monomial exponents: 4 0 1 1 0 5 0.010535 6 0.010582 8 0.00855967 8 0.00818342 9 0.00793651 13 0.00894583 18 0.0154074 27 0.0142857 48 0.0142857 Exact 0.0142857 Monomial exponents: 2 2 1 1 0 5 0.010535 6 0.010582 8 0.00855967 8 0.00818342 9 0.00793651 13 0.00793651 18 0.00855967 27 0.00793651 48 0.00793651 Exact 0.00793651 Monomial exponents: 0 4 1 1 0 5 0.010535 6 0.010582 8 0.00855967 8 0.00818342 9 0.00793651 13 0.00894583 18 0.0154074 27 0.0142857 48 0.0142857 Exact 0.0142857 Monomial exponents: 2 0 3 1 0 5 0.00123457 6 0.00123457 8 0.00493827 8 0.00544218 9 0.00466742 13 0.0047619 18 0.00493827 27 0.0047619 48 0.0047619 Exact 0.0047619 Monomial exponents: 0 2 3 1 0 5 0.00123457 6 0.00123457