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Table A.1
Summary of calculations plotted in Fig. A.1.
| Method | Parameters | Δt | CPU time (s) | Niter |
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| CG | ϵconv = 1 × 10-6 | 1 × 10-16 | 82.9 | 10805 |
| CG | ϵconv = 1 × 10-8 | 1 × 10-16 | 68.5 | 14623 |
| STS | νsts = 0.001, Nsts = 10 | 1 × 10-16 | 20.4 | 9000 |
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| CG | ϵconv = 1 × 10-6 | 1 × 10-15 | 21.2 | 4738 |
| CG | ϵconv = 1 × 10-8 | 1 × 10-15 | 27.8 | 6456 |
| STS | νsts = 1 × 10-6, Nsts = 20 | 1 × 10-15 | 2.8 | 2107 |
| STS | νsts = 0.001, Nsts = 5 | 1 × 10-15 | 2.9 | 2408 |
| STS | νsts = 0.001, Nsts = 20 | 1 × 10-15 | 2.9 | 2408 |
| STS | νsts = 0.001, Nsts = 10 | 1 × 10-15 | 2.9 | 2408 |
| STS | νsts = 0.005, Nsts = 5 | 1 × 10-15 | 3.1 | 2709 |
| STS | νsts = 0.005, Nsts = 10 | 1 × 10-15 | 3.04 | 2709 |
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| CG | ϵconv = 1 × 10-6 | 1 × 10-14 | 11.4 | 2848 |
| CG | ϵconv = 1 × 10-8 | 1 × 10-14 | 15.4 | 3892 |
| STS | νsts = 1 × 10-6, Nsts = 20 | 1 × 10-14 | 0.6 | 600 |
| STS | νsts = 0.001, Nsts = 5 | 1 × 10-14 | 0.99 | 1470 |
| STS | νsts = 0.001, Nsts = 20 | 1 × 10-14 | 0.75 | 900 |
| STS | νsts = 0.001, Nsts = 10 | 1 × 10-14 | 0.69 | 780 |
| STS | νsts = 0.005, Nsts = 5 | 1 × 10-14 | 1.1 | 1620 |
| STS | νsts = 0.005, Nsts = 10 | 1 × 10-14 | 0.87 | 1170 |
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| CG | ϵconv = 1 × 10-6 | 5 × 10-14 | 6.9 | 1755 |
| CG | ϵconv = 1 × 10-8 | 5 × 10-14 | 9.3 | 2365 |
| STS | νsts = 1 × 10-6, Nsts = 20 | 5 × 10-14 | 0.39 | 390 |
| STS | νsts = 0.001, Nsts = 5 | 5 × 10-14 | 0.8 | 1326 |
| STS | νsts = 0.001, Nsts = 20 | 5 × 10-14 | 0.56 | 756 |
| STS | νsts = 0.001, Nsts = 10 | 5 × 10-14 | 0.46 | 534 |
| STS | νsts = 0.005, Nsts = 5 | 5 × 10-14 | 0.87 | 1476 |
| STS | νsts = 0.005, Nsts = 10 | 5 × 10-14 | 0.68 | 1032 |
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| CG | ϵconv = 1 × 10-6 | 1 × 10-13 | 4.6 | 1135 |
| CG | ϵconv = 1 × 10-8 | 1 × 10-13 | 5.6 | 1399 |
| STS | νsts = 1 × 10-6, Nsts = 20 | 1 × 10-13 | 0.36 | 351 |
| STS | νsts = 0.001, Nsts = 5 | 1 × 10-13 | 0.77 | 1311 |
| STS | νsts = 0.001, Nsts = 20 | 1 × 10-13 | 0.52 | 729 |
| STS | νsts = 0.001, Nsts = 10 | 1 × 10-13 | 0.43 | 495 |
| STS | νsts = 0.005, Nsts = 5 | 1 × 10-13 | 0.83 | 1467 |
| STS | νsts = 0.005, Nsts = 10 | 1 × 10-13 | 0.65 | 1020 |
| CG | ϵconv = 1 × 10-8 | 1 × 10-16 ∗ 1.05istep | 19 | 4680 |
| STS | νsts = 0.005, Nsts = 10 | 1 × 10-16 ∗ 1.05istep | 1.7 | 1782 |
Notes. CPU time, the number of iterations in the CG method or the number of substeps in the STS method are given for various time steps and various values of ϵconv for the CG, and Nsts and νsts for STS.
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