Table 4.
Maximum errors, CPU seconds and the number of iterations of Problem 2 using plane relaxation and point relaxation smoothers with Re = 107.
| Point relaxation | Plane relaxation | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| h | strategy | # iter | CPU | error | order | # iter | CPU | error | order |
| 1/8 | FOC | 52 | 0.009 | 6.10e-2 | 2.1 | 8 | 0.017 | 6.10e-2 | 2.1 |
| SOC | (16,51),55 | 0.010 | 5.18e-2 | 2.7 | (4,8),55 | 0.019 | 5.18e-2 | 2.7 | |
| 1/16 | FOC | 164 | 0.262 | 1.41e-2 | 2.1 | 17 | 0.320 | 1.41e-2 | 2.1 |
| SOC | (51,164),74 | 0.294 | 7.96e-3 | 3.0 | (10,16),74 | 0.389 | 7.96e-3 | 3.0 | |
| 1/32 | FOC | 500 | 7.621 | 3.36e-3 | 2.0 | 26 | 4.852 | 3.36e-3 | 2.0 |
| SOC | (164,472),79 | 7.808 | 1.01e-3 | 3.3 | (16,26),79 | 3.247 | 1.01e-3 | 3.3 | |
| 1/64 | FOC | not converge | – | – | – | 46 | 70.073 | 8.21e-4 | 2.0 |
| SOC | not converge | – | – | – | (26,45),81 | 80.787 | 1.06e-4 | 3.2 | |