Research Article
The Multigrid Method for the Combined Hybrid Element of Linear Elasticity Problem
Table 1
Convergence results of
-cycle MGM for the combined hybrid elements.
| ā | Grid | 8 8 | 16 16 | 32 32 | 64 64 | 128 128 |
| CH(0-1) | (2, 2) | Iter | 9 | 9 | 10 | 12 | 12 | | 0.18 | 0.18 | 0.21 | 0.29 | 0.30 | (3, 3) | Iter | 7 | 7 | 7 | 9 | 9 | | 0.13 | 0.13 | 0.12 | 0.19 | 0.21 | (4, 4) | Iter | 7 | 6 | 6 | 6 | 7 | | 0.11 | 0.10 | 0.09 | 0.10 | 0.11 |
| CH(1) | (2, 2) | Iter | 13 | 12 | 13 | 13 | 13 | | 0.32 | 0.31 | 0.33 | 0.33 | 0.32 | (3, 3) | Iter | 8 | 8 | 7 | 8 | 9 | | 0.16 | 0.15 | 0.13 | 0.18 | 0.19 | (4, 4) | Iter | 7 | 7 | 7 | 6 | 6 | | 0.12 | 0.13 | 0.12 | 0.10 | 0.09 |
| CH(0) | (2, 2) | Iter | 10 | 9 | 10 | 12 | 13 | | 0.22 | 0.21 | 0.23 | 0.31 | 0.32 | (3, 3) | Iter | 7 | 7 | 7 | 9 | 10 | | 0.14 | 0.13 | 0.13 | 0.20 | 0.23 | (4, 4) | Iter | 7 | 7 | 6 | 7 | 7 | | 0.12 | 0.11 | 0.09 | 0.10 | 0.12 |
| CH(P-S) | (2, 2) | Iter | 9 | 9 | 10 | 12 | 12 | | 0.18 | 0.19 | 0.21 | 0.29 | 0.31 | (3, 3) | Iter | 7 | 7 | 7 | 9 | 9 | | 0.14 | 0.13 | 0.12 | 0.19 | 0.21 | (4, 4) | Iter | 7 | 7 | 6 | 6 | 7 | | 0.11 | 0.11 | 0.09 | 0.10 | 0.12 |
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