Author(s)

S. Meddahi, 0. Menendez, P. Perez & J. Valdes

Abstract

In this paper we apply the coupling of the boundary integral method and the finite element method to solve a nonlinear problem in the plane. Specifically the boundary value problem consists of a second order quasi- linear problem in divergence form in a bounded inner region and the Laplace equation in the corresponding unbounded exterior region, in addition to appropriate transmission conditions. The method of coupling presented here is based on the alternative Schwarz method. Numerical results are presented in order to show the robustness of the method. 1 Introduction Many boundary value problems arising in engineering are defined on large or even unbounded domains, for which the traditional numerical methods are unsuitable. Usually a characteristic of these problems is that

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