A solution method for a certain nonlinear interface problem in unbounded domains

Authors:
Q. Hu;D. Yu
Affiliations:
-;Chinese Academy of Sciences, Beijing, China
Venue:
Computing
Year:
2001

Citing 6
Cited 1

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Abstract

In this paper, we consider a kind of nonlinear interface problem in unbounded domains. To solve this problem, we discuss a new coupling of finite element and boundary element by adding an auxiliary circle. We first dervive the optimal error estimate of finite element approximation to the coupled FEM-BEM problem. Then we introduce a preconditioning steepest descent method for solving the discrete system by constructing a cheap domain decomposition preconditioner. Moreover, we give a complete analysis to the convergence speed of this iterative method.