Abstract
The purpose of this paper is to consider a numerical method for the solution of unbounded domain problems of the Poisson equation. An artificial boundary decomposes the external domain Ω into a bounded subdomain Ω0 and an external subdomain Ω1 outside Ω0. The boundary value problems in domains Ω0 and Ω1 are indirectly combined by the Dirichlet-Neumann map on the artificial boundary. The finite element and the boundary element methods are applied to the boundary value problems in domains Ω0 and Ω1 respectively. By numerical computations, numerical properties of our method are examined. Starting from any initial guess of data on the artificial boundary, the method converges to the exact solution.
