Abstract
For the solution of inhomogeneous boundary value problems in complex three-dimensional domains we propose a successively coupled finite-boundary element method. By using a finite element method in a simpler auxiliary domain we first compute a particular solution of the inhomogeneous partial differential equation. This solution is used in a second step to approximate the Newton potential in the boundary integral formulation which is related to the original boundary value problem. A rigorous error analysis and a numerical example are given.
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