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A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions
Authors:A Karageorghis
Abstract:One of the main difficulties in the application of the method of fundamental solutions (MFS) is the determination of the position of the pseudo-boundary on which are placed the singularities in terms of which the approximation is expressed. In this work, we propose a simple practical algorithm for determining an estimate of the pseudo-boundary which yields the most accurate MFS approximation when the method is applied to certain boundary value problems. Several numerical examples are provided.
Keywords:Method of fundamental solutions  elliptic boundary value problems  function minimization  
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