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 4.6
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| h | |→u−→uj| | ‖ | |\vec{u}-\vec{u}_j|_{H^1} | \|p-p_j\| | 有校正过程 | 1/2^3 | 0.0178683 | 0.000743724 | 0.0160728 | 0.0121122 | | 1/2^4 | 0.00956379 | 0.000207486 | 0.00873815 | 0.00771615 | | 1/2^5 | 0.00439364 | 4.30938\times10^{-5} | 0.00400727 | 0.00466195 | | 1/2^6 | 0.00216383 | 1.04478\times10^{-5} | 0.0019715 | 0.00192831 | | 1/2^7 | 0.00107643 | 2.55895\times10^{-6} | 0.00098056 | 0.000353896 | 无校正过程 | 1/2^3 | 0.0178683 | 0.000743724 | 0.0160728 | 0.0121122 | | 1/2^4 | 0.00956379 | 0.000207486 | 0.00873815 | 0.00771615 | | 1/2^5 | 0.00440023 | 4.33507\times10^{-5} | 0.00401131 | 0.00632012 | | 1/2^6 | 0.00217538 | 1.07786\times10^{-5} | 0.00197805 | 0.00593642 | | 1/2^7 | 0.00108893 | 3.03289\times10^{-6} | 0.000987726 | 0.0057875 |
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