Numerical analysis of a nonlinear evolutionary system with applications in viscoplasticity

被引：8
|
作者：
Chen, JH [1 ]
Han, WM
Sofonea, M
机构：
[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
[2] Univ Perpignan, Lab Theorie Syst, F-66860 Perpignan, France
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2000年 / 38卷 / 04期
关键词：
evolutionary variational inequality; frictional contact problem; viscoplasticity; numerical schemes; finite element method; convergence analysis; error estimation;
D O I：
10.1137/S003614299834842X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider numerical approximations of a class of abstract nonlinear evolutionary systems arising in the study of quasi-static frictional contact problems for elastic-viscoplastic materials. Both semidiscrete and fully discrete schemes are analyzed. Strong convergence of both approximations is established under minimal solution regularity. The results are applied to two particular frictional contact problems for viscoplastic bodies, where the finite element method is employed to discretize the spatial domain. Under additional regularity assumptions on the exact solution, some error estimates are derived.
引用
收藏
页码：1171 / 1199
页数：29
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