The Coupling of Boundary Element and Finite Element Methods for a Nonlinear Exterior Boundary Value Problem

Abstract

This paper is concerned with an application of the coupling of the boundary element and the finite element methods to an exterior Dirichlet problem for a class of nonlinear second-order elliptic equations in divergence form. Emphasis will be placed upon the variational formulation and the mathematical foundations of the coupling procedure. In particular, sufficient conditions are given for the coefficients of the equation from which existence and uniqueness results are established by the theory of monotone operators.