Theory and Modern Applications
Table 1 Errors and costs of algorithms with \(L=5\) for different discretization system arising from Example 5.1
\({\Omega _{L}} \) | Method | \(\Vert u-u_{L}^{*} \Vert _{\infty }\) | \(\Vert u-u_{L}^{*} \Vert _{2}\) | CPU | Iter | WU | Tflops |
|---|---|---|---|---|---|---|---|
256 × 256 | MG | 6.30E−06 | 2.41E−06 | 0.92 | 9 | 47.8 | 1.5 |
EXFMG | 1.23E−07 | 2.17E−08 | 0.91 | 6, 8, 10, 1 | 45.6 | 1.1 | |
512 × 512 | MG | 3.94E−07 | 1.51E−07 | 3.42 | 9 | 47.8 | 23.5 |
EXFMG | 2.05E−09 | 3.41E−10 | 3.05 | 6, 7, 9, 1 | 43.9 | 16.8 | |
1024 × 1024 | MG | 2.47E−08 | 9.45E−09 | 14.3 | 9 | 47.8 | 377.9 |
EXFMG | 7.10E−11 | 6.33E−12 | 12.1 | 5, 7, 8, 1 | 38.3 | 229.3 | |
2048 × 2048 | MG | 1.54E−09 | 5.91E−10 | 43.4 | 10 | 53.1 | 6736.5 |
EXFMG | 7.34E−12 | 8.68E−13 | 40.5 | 5, 7, 8, 1 | 38.3 | 3679.8 |