Convergence of a contact-Neumann iteration for the solution of two-body contact problems

被引：17

作者：

Eck, C

Wohlmuth, B

机构：

[1] Univ Erlangen Nurnberg, Inst Appl Math, D-91058 Erlangen, Germany

[2] Univ Stuttgart, Inst Appl Anal & Numer Simulat, D-70569 Stuttgart, Germany

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2003年 / 13卷 / 08期

关键词：

contact problems; mortar finite elements; domain decomposition;

D O I：

10.1142/S0218202503002830

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an iteration for the solution of two-body contact problems without friction based on one-sided contact problems for one body and Neumann problems for the other one. The convergence of this iteration is proved in the continuous setting by reformulating it as a fixed point iteration for a contractive operator. In addition, the application of the method with mortar finite elements is discussed, and the convergence of the corresponding discrete iteration is verified.

引用

页码：1103 / 1118

页数：16

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