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
|
|
葛志昊,葛媛媛
|
Multigrid Uzawa-Type Mixed Finite Element Methods for Nearly Incompressible Linear Elasticity Problem
|
|
Zhihao Ge,Yuanyuan Ge
|
|
表 4.6
|
| |
|
| $ h $ | $ |\vec{u}-\vec{u}_j| $ | $\|\vec{u}-\vec{u}_j\|$ | $|\vec{u}-\vec{u}_j|_{H^1}$ | $ \|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 |
|
|
|