Iteratively solving a kind of Signorini transmission problem in a unbounded domain

Hu, Qiya; Yu, Dehao

ESAIM: Modélisation mathématique et analyse numérique, Tome 39 (2005) no. 4, pp. 715-726.

In this paper, we are concerned with a kind of Signorini transmission problem in a unbounded domain. A variational inequality is derived when discretizing this problem by coupled FEM-BEM. To solve such variational inequality, an iterative method, which can be viewed as a variant of the D-N alternative method, will be introduced. In the iterative method, the finite element part and the boundary element part can be solved independently. It will be shown that the convergence speed of this iteration is independent of the mesh size. Besides, a combination between this method and the steepest descent method is also discussed.

Classification : 65N30, 65R20, 73C50
Mots clés : Signorini contact, FEM-BEM coupling, variational inequality, D-N alternation, convergence rate

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