几乎不可压缩线性弹性问题的多重网格Uzawa型混合有限元方法
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葛志昊,葛媛媛
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Multigrid Uzawa-Type Mixed Finite Element Methods for Nearly Incompressible Linear Elasticity Problem
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Zhihao Ge,Yuanyuan Ge
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表 4.3 (λ=1020)
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| h | |→u−→uj|H1 | |→u−→uj| | ‖ | \|p-p_j\| | | \frac{\sqrt{2}}{2^4} | 0.00990824 | 0.0112103 | 0.000289378 | 0.000981775 | | \frac{\sqrt{2}}{2^5} | 0.00497386 | 0.00565981 | 7.37462\times10^{-5} | 0.000255086 | | \frac{\sqrt{2}}{2^6} | 0.00248929 | 0.00283681 | 1.85207\times10^{-5} | 6.36543\times10^{-5} | | \frac{\sqrt{2}}{2^7} | 0.00124493 | 0.00141927 | 4.63482\times10^{-6} | 1.57971\times10^{-5} | | \frac{\sqrt{2}}{2^8} | 0.000622503 | 0.00070974 | 1.15892\times10^{-6} | 3.9281\times10^{-6} | | 平均误差阶 | 0.9981 | 0.9954 | 1.9910 | 1.9914 |
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