Theory and Modern Applications
Table 2 Errors and costs of algorithms with \(L=5\) for different discretization system arising from Example 5.2
\({\Omega _{L}} \) | Method | \(\Vert u-u_{L}^{*} \Vert _{\infty }\) | \(\Vert u-u_{L}^{*} \Vert _{2}\) | CPU | Iter | WU | Tflops |
|---|---|---|---|---|---|---|---|
256 × 256 | MG | 3.15E−05 | 3.46E−06 | 0.92 | 8 | 42.5 | 1.3 |
EXFMG | 3.02E−06 | 2.84E−07 | 1.21 | 7, 9, 11, 1 | 52.5 | 1.2 | |
512 × 512 | MG | 1.94E−06 | 2.13E−07 | 4.34 | 9 | 47.8 | 23.5 |
EXFMG | 6.18E−08 | 4.40E−09 | 3.95 | 5, 8, 10, 1 | 40.3 | 14.4 | |
1024 × 1024 | MG | 1.21E−07 | 1.33E−08 | 14.95 | 8 | 42.5 | 335.9 |
EXFMG | 1.78E−09 | 3.38E−10 | 12.47 | 4, 6, 9 , 1 | 32.0 | 184.8 | |
2048 × 2048 | MG | 7.53E−09 | 8.35E−10 | 40.64 | 8 | 42.5 | 5389.2 |
EXFMG | 3.65E−10 | 8.29E−11 | 41.84 | 4, 5, 7, 1 | 30.1 | 2920.2 |