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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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 4.5

	$h$	$\|\vec{u}-\vec{u}_j\|$	$\\|\vec{u}-\vec{u}_j\\|$	$\|\vec{u}-\vec{u}_j\|_{H^1}$	$\\|p-p_j\\|$
MUMFEM	$\sqrt{2}/2^4$	0.011224	0.000289379	0.00991621	0.00858243
	$\sqrt{2}/2^5$	0.00567571	7.39909 $\times10^{-5}$	0.00498314	0.00919007
	$\sqrt{2}/2^6$	0.00285473	1.88377 $\times10^{-5}$	0.00249968	0.00957303
	$\sqrt{2}/2^7$	0.00143837	4.97168 $\times10^{-6}$	0.00125595	0.00978083
平均收敛阶		0.9880	1.9543	0.9937
IMUMFEM	$\sqrt{2}/2^4$	0.0112356	0.00028971	0.00992303	0.00609284
	$\sqrt{2}/2^5$	0.00568659	7.40819 $\times10^{-5}$	0.00498939	0.0073056
	$\sqrt{2}/2^6$	0.00286445	1.90212 $\times10^{-5}$	0.00250526	0.00843153
	$\sqrt{2}/2^7$	0.00144767	5.25868 $\times10^{-6}$	0.00126132	0.00915367
平均收敛阶		0.9854	1.9279	0.9919