Research Article
Applications of Symmetric and Nonsymmetric MSSOR Preconditioners to Large-Scale Biot's Consolidation Problems with Nonassociated Plasticity
Table 2
Performance of different solution schemes for the flexible footing example.
| Load step no. | Number of nonlinear iteration | Average iterations for each linear system | Total solution time (hours) |
| Scheme 1: Newton + QMR preconditioned by nonsymmetric MSSOR |
| 1 | 1 | 1940 | 0.137 | 2 | 4 | 1755 | 0.494 | 3 | 5 | 1756 | 0.624 | 4 | 5 | 1732 | 0.625 | 5 | 6 | 1723 | 0.751 | Total | 21 | — | 2.662 |
| Scheme 2: IS (Chen) method + SQMR preconditioned by symmetric MSSOR |
| 1 | 1 | 1060 | 0.061 | 2 | 4 | 780 | 0.180 | 3 | 5 | 780 | 0.241 | 4 | 6 | 793 | 0.308 | 5 | 6 | 753 | 0.317 | Total | 22 | — | 1.129 |
| Scheme 2: (Chen) method + SQMR preconditioned by symmetric MSSOR |
| 1 | 1 | 1060 | 0.060 | 2 | 4 | 845 | 0.182 | 3 | 4 | 865 | 0.189 | 4 | 4 | 855 | 0.200 | 5 | 5 | 860 | 0.256 | Total | 18 | — | 0.903 |
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