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 4.2 (

$\lambda=10^{17}$

)

$h$	$\|\vec{u}-\vec{u}_h\|$	$\|\vec{u}-\vec{u}_h\|_{H^1}$	$\\|\vec{u}-\vec{u}_h\\|$	$\\|p-p_h\\|$
$\sqrt{2}/2^4$	0.0112127	0.00990952	0.000289012	0.00148229
$\sqrt{2}/2^5$	0.00566004	0.00497397	7.3669 $\times10^{-5}$	0.00979325
$\sqrt{2}/2^6$	0.00283683	0.0024893	1.85071 $\times{10^{-5}}$	0.194218
$\sqrt{2}/2^7$	0.00141927	0.00124493	4.6324 $\times10^{-6}$	0.000975646