04-Jul-2007 08:26:03 NINT_EXACTNESS_TRI MATLAB version Investigate the polynomial exactness of a quadrature rule for the triangle by integrating all monomials of a given degree. The rule will be adjusted to the unit triangle. NINT_EXACTNESS_TRI: User input: Quadrature rule X file = "gauss8x8_x.txt". Quadrature rule W file = "gauss8x8_w.txt". Quadrature rule R file = "gauss8x8_r.txt". Maximum total degree to check = 17 Spatial dimension = 2 Number of points = 64 Error Degree Exponents 0.000000 0 0 0 0.000000 1 1 0 0.000000 1 0 1 0.000000 2 2 0 0.000000 2 1 1 0.000000 2 0 2 0.000000 3 3 0 0.000000 3 2 1 0.000000 3 1 2 0.000000 3 0 3 0.000000 4 4 0 0.000000 4 3 1 0.000000 4 2 2 0.000000 4 1 3 0.000000 4 0 4 0.000000 5 5 0 0.000000 5 4 1 0.000000 5 3 2 0.000000 5 2 3 0.000000 5 1 4 0.000000 5 0 5 0.000000 6 6 0 0.000000 6 5 1 0.000000 6 4 2 0.000000 6 3 3 0.000000 6 2 4 0.000000 6 1 5 0.000000 6 0 6 0.000000 7 7 0 0.000000 7 6 1 0.000000 7 5 2 0.000000 7 4 3 0.000000 7 3 4 0.000000 7 2 5 0.000000 7 1 6 0.000000 7 0 7 0.000000 8 8 0 0.000000 8 7 1 0.000000 8 6 2 0.000000 8 5 3 0.000000 8 4 4 0.000000 8 3 5 0.000000 8 2 6 0.000000 8 1 7 0.000000 8 0 8 0.000000 9 9 0 0.000000 9 8 1 0.000000 9 7 2 0.000000 9 6 3 0.000000 9 5 4 0.000000 9 4 5 0.000000 9 3 6 0.000000 9 2 7 0.000000 9 1 8 0.000000 9 0 9 0.000000 10 10 0 0.000000 10 9 1 0.000000 10 8 2 0.000000 10 7 3 0.000000 10 6 4 0.000000 10 5 5 0.000000 10 4 6 0.000000 10 3 7 0.000000 10 2 8 0.000000 10 1 9 0.000000 10 010 0.000000 11 11 0 0.000000 11 10 1 0.000000 11 9 2 0.000000 11 8 3 0.000000 11 7 4 0.000000 11 6 5 0.000000 11 5 6 0.000000 11 4 7 0.000000 11 3 8 0.000000 11 2 9 0.000000 11 110 0.000000 11 011 0.000000 12 12 0 0.000000 12 11 1 0.000000 12 10 2 0.000000 12 9 3 0.000000 12 8 4 0.000000 12 7 5 0.000000 12 6 6 0.000000 12 5 7 0.000000 12 4 8 0.000000 12 3 9 0.000000 12 210 0.000000 12 111 0.000000 12 012 0.000000 13 13 0 0.000000 13 12 1 0.000000 13 11 2 0.000000 13 10 3 0.000000 13 9 4 0.000000 13 8 5 0.000000 13 7 6 0.000000 13 6 7 0.000000 13 5 8 0.000000 13 4 9 0.000000 13 310 0.000000 13 211 0.000000 13 112 0.000000 13 013 0.000000 14 14 0 0.000000 14 13 1 0.000000 14 12 2 0.000000 14 11 3 0.000000 14 10 4 0.000000 14 9 5 0.000000 14 8 6 0.000000 14 7 7 0.000000 14 6 8 0.000000 14 5 9 0.000000 14 410 0.000000 14 311 0.000000 14 212 0.000000 14 113 0.000000 14 014 0.000000 15 15 0 0.000000 15 14 1 0.000000 15 13 2 0.000000 15 12 3 0.000000 15 11 4 0.000000 15 10 5 0.000000 15 9 6 0.000000 15 8 7 0.000000 15 7 8 0.000000 15 6 9 0.000000 15 510 0.000000 15 411 0.000000 15 312 0.000000 15 213 0.000000 15 114 0.000000 15 015 0.000000 16 16 0 0.000000 16 15 1 0.000001 16 14 2 0.000004 16 13 3 0.000010 16 12 4 0.000021 16 11 5 0.000033 16 10 6 0.000041 16 9 7 0.000041 16 8 8 0.000033 16 7 9 0.000021 16 610 0.000010 16 511 0.000004 16 412 0.000001 16 313 0.000000 16 214 0.000000 16 115 0.000000 16 016 0.000000 17 17 0 0.000002 17 16 1 0.000009 17 15 2 0.000027 17 14 3 0.000062 17 13 4 0.000100 17 12 5 0.000115 17 11 6 0.000080 17 10 7 0.000002 17 9 8 0.000076 17 8 9 0.000112 17 710 0.000099 17 611 0.000061 17 512 0.000027 17 413 0.000009 17 314 0.000002 17 215 0.000000 17 116 0.000000 17 017 NINT_EXACTNESS_TRI: Normal end of execution. 04-Jul-2007 08:26:03