04-Jul-2007 21:06:00 NINT_EXACTNESS_TET MATLAB version Investigate the polynomial exactness of a quadrature rule for the tetrahedron by integrating all monomials of a given degree. The rule will be adjusted to the unit tetrahedron. NINT_EXACTNESS_TET: User input: Quadrature rule X file = "ncc5_x.txt". Quadrature rule W file = "ncc5_w.txt". Quadrature rule R file = "ncc5_r.txt". Maximum total degree to check = 8 Spatial dimension = 3 Number of points = 56 Error Degree Exponents 0.000000 0 0 0 0 0.000000 1 1 0 0 0.000000 1 0 1 0 0.000000 1 0 0 1 0.000000 2 2 0 0 0.000000 2 1 1 0 0.000000 2 0 2 0 0.000000 2 1 0 1 0.000000 2 0 1 1 0.000000 2 0 0 2 0.000000 3 3 0 0 0.000000 3 2 1 0 0.000000 3 1 2 0 0.000000 3 0 3 0 0.000000 3 2 0 1 0.000000 3 1 1 1 0.000000 3 0 2 1 0.000000 3 1 0 2 0.000000 3 0 1 2 0.000000 3 0 0 3 0.000000 4 4 0 0 0.000000 4 3 1 0 0.000000 4 2 2 0 0.000000 4 1 3 0 0.000000 4 0 4 0 0.000000 4 3 0 1 0.000000 4 2 1 1 0.000000 4 1 2 1 0.000000 4 0 3 1 0.000000 4 2 0 2 0.000000 4 1 1 2 0.000000 4 0 2 2 0.000000 4 1 0 3 0.000000 4 0 1 3 0.000000 4 0 0 4 0.000000 5 5 0 0 0.000000 5 4 1 0 0.000000 5 3 2 0 0.000000 5 2 3 0 0.000000 5 1 4 0 0.000000 5 0 5 0 0.000000 5 4 0 1 0.000000 5 3 1 1 0.000000 5 2 2 1 0.000000 5 1 3 1 0.000000 5 0 4 1 0.000000 5 3 0 2 0.000000 5 2 1 2 0.000000 5 1 2 2 0.000000 5 0 3 2 0.000000 5 2 0 3 0.000000 5 1 1 3 0.000000 5 0 2 3 0.000000 5 1 0 4 0.000000 5 0 1 4 0.000000 5 0 0 5 0.023840 6 6 0 0 0.047680 6 5 1 0 0.051200 6 4 2 0 0.049600 6 3 3 0 0.051200 6 2 4 0 0.047680 6 1 5 0 0.023840 6 0 6 0 0.047680 6 5 0 1 0.068000 6 4 1 1 0.028000 6 3 2 1 0.028000 6 2 3 1 0.068000 6 1 4 1 0.047680 6 0 5 1 0.051200 6 4 0 2 0.028000 6 3 1 2 0.044000 6 2 2 2 0.028000 6 1 3 2 0.051200 6 0 4 2 0.049600 6 3 0 3 0.028000 6 2 1 3 0.028000 6 1 2 3 0.049600 6 0 3 3 0.051200 6 2 0 4 0.068000 6 1 1 4 0.051200 6 0 2 4 0.047680 6 1 0 5 0.047680 6 0 1 5 0.023840 6 0 0 6 0.104000 7 7 0 0 0.163200 7 6 1 0 0.092000 7 5 2 0 0.020000 7 4 3 0 0.020000 7 3 4 0 0.092000 7 2 5 0 0.163200 7 1 6 0 0.104000 7 0 7 0 0.163200 7 6 0 1 0.159200 7 5 1 1 0.056000 7 4 2 1 0.168000 7 3 3 1 0.056000 7 2 4 1 0.159200 7 1 5 1 0.163200 7 0 6 1 0.092000 7 5 0 2 0.056000 7 4 1 2 0.020000 7 3 2 2 0.020000 7 2 3 2 0.056000 7 1 4 2 0.092000 7 0 5 2 0.020000 7 4 0 3 0.168000 7 3 1 3 0.020000 7 2 2 3 0.168000 7 1 3 3 0.020000 7 0 4 3 0.020000 7 3 0 4 0.056000 7 2 1 4 0.056000 7 1 2 4 0.020000 7 0 3 4 0.092000 7 2 0 5 0.159200 7 1 1 5 0.092000 7 0 2 5 0.163200 7 1 0 6 0.163200 7 0 1 6 0.104000 7 0 0 7 0.269840 8 8 0 0 0.338240 8 7 1 0 0.063040 8 6 2 0 0.059520 8 5 3 0 0.032000 8 4 4 0 0.059520 8 3 5 0 0.063040 8 2 6 0 0.338240 8 1 7 0 0.269840 8 0 8 0 0.338240 8 7 0 1 0.223200 8 6 1 1 0.227600 8 5 2 1 0.194800 8 4 3 1 0.194800 8 3 4 1 0.227600 8 2 5 1 0.223200 8 1 6 1 0.338240 8 0 7 1 0.063040 8 6 0 2 0.227600 8 5 1 2 0.135200 8 4 2 2 0.084800 8 3 3 2 0.135200 8 2 4 2 0.227600 8 1 5 2 0.063040 8 0 6 2 0.059520 8 5 0 3 0.194800 8 4 1 3 0.084800 8 3 2 3 0.084800 8 2 3 3 0.194800 8 1 4 3 0.059520 8 0 5 3 0.032000 8 4 0 4 0.194800 8 3 1 4 0.135200 8 2 2 4 0.194800 8 1 3 4 0.032000 8 0 4 4 0.059520 8 3 0 5 0.227600 8 2 1 5 0.227600 8 1 2 5 0.059520 8 0 3 5 0.063040 8 2 0 6 0.223200 8 1 1 6 0.063040 8 0 2 6 0.338240 8 1 0 7 0.338240 8 0 1 7 0.269840 8 0 0 8 NINT_EXACTNESS_TET: Normal end of execution. 04-Jul-2007 21:06:00