Iteratively solving a kind of signorini transmission problem in a unbounded domain
Institute of Computational Mathematics and
Academy of Mathematics, Chinese Academy of Sciences, Beijing
100080, China. firstname.lastname@example.org; email@example.com
Revised: 3 April 2005
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.
Mathematics Subject Classification: 65N30 / 65R20 / 73C50
Key words: Signorini contact / FEM-BEM coupling / variational inequality / D-N alternation / convergence rate.
© EDP Sciences, SMAI, 2005