30 January 2009 09:35:36 AM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "gl_d2_1x1_x.txt". Quadrature rule W file = "gl_d2_1x1_w.txt". Quadrature rule R file = "gl_d2_1x1_r.txt". Spatial dimension = 2 Number of points = 1 Prob Dim Points Approx Exact Error 1 2 1 1.33333 1.64493 0.311601 2 2 1 4 4.35517 0.355172 3 2 1 2.82843 3.12419 0.295767 4 2 1 2.3094 2.57901 0.269606 5 2 1 0.5 0.444444 0.0555556 6 2 1 1 1.86302 0.863016 7 2 1 0 0.533333 0.533333 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:35:36 AM 30 January 2009 09:35:47 AM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "gl_d2_2x2_x.txt". Quadrature rule W file = "gl_d2_2x2_w.txt". Quadrature rule R file = "gl_d2_2x2_r.txt". Spatial dimension = 2 Number of points = 4 Prob Dim Points Approx Exact Error 1 2 4 1.52308 1.64493 0.121857 2 2 4 4.24264 4.35517 0.112531 3 2 4 3.06489 3.12419 0.0593006 4 2 4 2.51896 2.57901 0.060048 5 2 4 0.454124 0.444444 0.0096797 6 2 4 1.66667 1.86302 0.19635 7 2 4 0.379918 0.533333 0.153415 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:35:47 AM 30 January 2009 09:35:56 AM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "gl_d2_4x4_x.txt". Quadrature rule W file = "gl_d2_4x4_w.txt". Quadrature rule R file = "gl_d2_4x4_r.txt". Spatial dimension = 2 Number of points = 16 Prob Dim Points Approx Exact Error 1 2 16 1.60599 1.64493 0.0389403 2 2 16 4.33208 4.35517 0.0230946 3 2 16 3.11488 3.12419 0.00930944 4 2 16 2.56922 2.57901 0.00979231 5 2 16 0.445994 0.444444 0.00154932 6 2 16 1.73072 1.86302 0.132298 7 2 16 0.471735 0.533333 0.0615986 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:35:56 AM 30 January 2009 09:36:03 AM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "gl_d2_8x8_x.txt". Quadrature rule W file = "gl_d2_8x8_w.txt". Quadrature rule R file = "gl_d2_8x8_r.txt". Spatial dimension = 2 Number of points = 64 Prob Dim Points Approx Exact Error 1 2 64 1.63389 1.64493 0.0110422 2 2 64 4.35153 4.35517 0.00364416 3 2 64 3.12286 3.12419 0.00133805 4 2 64 2.57759 2.57901 0.00141615 5 2 64 0.44467 0.444444 0.000225246 6 2 64 1.85893 1.86302 0.00408772 7 2 64 0.509617 0.533333 0.0237159 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:36:03 AM 30 January 2009 09:36:11 AM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "gl_d2_16x16_x.txt". Quadrature rule W file = "gl_d2_16x16_w.txt". Quadrature rule R file = "gl_d2_16x16_r.txt". Spatial dimension = 2 Number of points = 256 Prob Dim Points Approx Exact Error 1 2 256 1.64199 1.64493 0.00294036 2 2 256 4.35466 4.35517 0.00050751 3 2 256 3.12401 3.12419 0.000181261 4 2 256 2.57882 2.57901 0.000192182 5 2 256 0.444475 0.444444 3.06203e-05 6 2 256 1.86313 1.86302 0.000111554 7 2 256 0.524558 0.533333 0.0087757 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:36:11 AM 30 January 2009 09:36:17 AM QUADRATURE_TEST_2D C++ version Compiled on Jan 30 2009 at 09:35:30. Investigate the accuracy of a 2D quadrature rule by integrating test functions. QUADRATURE_TEST_2D: User input: Quadrature rule X file = "gl_d2_32x32_x.txt". Quadrature rule W file = "gl_d2_32x32_w.txt". Quadrature rule R file = "gl_d2_32x32_r.txt". Spatial dimension = 2 Number of points = 1024 Prob Dim Points Approx Exact Error 1 2 1024 1.64418 1.64493 0.000758577 2 2 1024 4.35511 4.35517 6.67491e-05 3 2 1024 3.12417 3.12419 2.36613e-05 4 2 1024 2.57898 2.57901 2.50991e-05 5 2 1024 0.444448 0.444444 4.00094e-06 6 2 1024 1.8632 1.86302 0.000182766 7 2 1024 0.530158 0.533333 0.00317553 QUADRATURE_2D_TEST: Normal end of execution. 30 January 2009 09:36:17 AM