Coupling of the Method of Fundamental Solutions and the Domain Decomposition Technique for Solving Laplace Equation
摘要
In this work, we are interested in combining the method of fundamental solutions (MFS) with the domain decomposition technique for solving Laplace equations. This coupling allows a good control of the resulting system generated by the MFS. Our main objective is to stabilize numerically the MFS by controlling the ill-conditioning of the system matrices. Several examples are considered to analyse the robustness and efficiency of this coupling.