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 4.1
$ \lambda $
$ \|\vec{u}_h\| $
$ |\vec{u}-\vec{u}_h|_{H^1} $
$ \|\vec{u}-\vec{u}_h\| $
$ |\vec{u}-\vec{u}_h| $
$ \frac{\|\vec{u}-\vec{u}_h\|}{\|\vec{u}\|} $
$ 10^{-1} $
0.00752572
0.00990784
0.000304453
0.0111987
0.0391521
$ 10^{0} $
0.00746715
0.00996155
0.000364112
0.0112154
0.0468241
$ 10^{3} $
0.00110679
0.0496878
0.00672073
0.0496914
0.864273
$ 10^{5} $
$ 1.3701\times{10^{-5}} $
0.0570505
0.00776319
0.0570505
0.998333
$ 10^{10} $
$ 1.37356\times{10^{-10}} $
0.0571429
0.00777616
0.0571429
1.000000