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Iteratively solving a kind of signorinitransmission problem in a unbounded domain

Published online by Cambridge University Press:  15 August 2005

Qiya Hu  and
Dehao Yu
Qiya Hu
Affiliation:
Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics, Chinese Academy of Sciences, Beijing 100080, China. hqy@lsec.cc.ac.cn; ydh@lsec.cc.ac.cn 

Dehao Yu
Affiliation:
Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics, Chinese Academy of Sciences, Beijing 100080, China. hqy@lsec.cc.ac.cn; ydh@lsec.cc.ac.cn 

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Abstract

In this paper, we are concerned with a kind of Signorinitransmission problem in a unbounded domain. A variationalinequality is derived when discretizing this problem by coupledFEM-BEM. To solve such variational inequality, an iterativemethod, which can be viewed as a variant of the D-N alternativemethod, will be introduced. In the iterative method, the finiteelement part and the boundary element part can be solvedindependently. It will be shown that the convergence speed of thisiteration is independent of the mesh size. Besides, a combinationbetween this method and the steepest descent method is alsodiscussed.

Keywords

Signorini contactFEM-BEM couplingvariationalinequalityD-N alternationconvergence rate.

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 39 , Issue 4 , July 2005 , pp. 715 - 726
Copyright
© EDP Sciences, SMAI, 2005

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