Warning: X does not support locale en_US.UTF-8 ---------------------------------------------------- Your license will expire in 13 days. Please contact your system administrator or MathWorks to renew this license. ---------------------------------------------------- 17-Jul-2023 13:49:24 hexahedron_jaskowiec_rule_test(): MATLAB/Octave version 9.14.0.2206163 (R2023a) Test hexahedron_jaskowiec_rule(). hexahedron_jaskowiec_rule_test01(): Quadrature rule for the unit hexahedron, Precision p = 5 Number of nodes N = 14 I W X Y Z 1 0.110803 0.102089 0.5 0.5 2 0.110803 0.5 0.102089 0.5 3 0.110803 0.5 0.5 0.102089 4 0.110803 0.897911 0.5 0.5 5 0.110803 0.5 0.897911 0.5 6 0.110803 0.5 0.5 0.897911 7 0.0418975 0.879393 0.879393 0.879393 8 0.0418975 0.120607 0.120607 0.120607 9 0.0418975 0.120607 0.879393 0.879393 10 0.0418975 0.879393 0.120607 0.879393 11 0.0418975 0.879393 0.879393 0.120607 12 0.0418975 0.120607 0.120607 0.879393 13 0.0418975 0.879393 0.120607 0.120607 14 0.0418975 0.120607 0.879393 0.120607 Weight Sum 1 hexahedron_jaskowiec_rule_test02(): Test the precision of a quadrature rule for the unit hexahedron. Stated precision of rule = 5 Number of quadrature points = 14 Degree Maximum error 0 2.220446049250313e-16 1 2.220446049250313e-16 2 1.110223024625157e-16 3 1.110223024625157e-16 4 1.110223024625157e-16 5 8.326672684688674e-17 6 0.0004208754208754467 7 0.001235269360269312 hexahedron_jaskowiec_rule_test03(): Test the precision of quadrature rules for the unit hexahedron. Check rules of precision p = 0 through 21 for error in approximating integrals of monomials. maximum maximum p absolute relative error error 0 0 0 1 0 0 2 2.220446049250313e-16 3.33066907387547e-16 3 2.220446049250313e-16 3.33066907387547e-16 4 2.220446049250313e-16 6.661338147750939e-16 5 2.220446049250313e-16 6.661338147750939e-16 6 1.665334536937735e-16 3.747002708109903e-16 7 1.665334536937735e-16 4.440892098500626e-16 8 5.551115123125783e-17 5.551115123125783e-16 9 5.551115123125783e-17 6.661338147750939e-16 10 1.332267629550188e-15 1.332267629550188e-15 11 1.332267629550188e-15 1.332267629550188e-15 12 1.110223024625157e-15 4.787836793695988e-15 13 1.110223024625157e-15 5.334274688628682e-15 14 4.440892098500626e-16 4.152928001488476e-15 15 4.440892098500626e-16 4.371503159461554e-15 16 4.551914400963142e-15 1.317522480004385e-14 17 4.551914400963142e-15 1.39645239816133e-14 18 2.220446049250313e-15 9.222657360030695e-15 19 2.220446049250313e-15 1.071018274068081e-14 20 5.662137425588298e-15 3.808064974464287e-14 21 5.662137425588298e-15 4.074518500374325e-14 hexahedron_jaskowiec_rule_test(): Normal end of execution. 17-Jul-2023 13:49:25