Combination of the finite and the boundary element methods for an external boundary value problem of the Poisson equation

Abstract

A numerical algorithm for an external Dirichlet problem of the Poisson equation is considered. The domain O extending to infinity is divided into a bounded subdomain O₀ and the unbounded subdomain O₁. The finite and the boundary element methods are applied to the boundary value problems in the bounded and the unbounded subdomains, respectively. An iterative scheme using the Dirichlet‐Neumann map on the interface ?O₁ is presented. The convergence of the scheme is mathematically guaranteed. A simple numerical example shows the effectiveness of our scheme.

Key words :

• 2‐D external boundary value problems
• iterative FE/BE coupling scheme
• Dirichlet‐Neumann map.

Notes

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