Abstract
The Method of Fundamental Solutions (MFS) is a boundary-type method suitable for the solution of certain elliptic boundary value problems. The basic ideas of the MFS were introduced by Kupradze and Alexidze and its modern form was proposed by Mathon and Johnston. In this work, we investigate certain aspects of a particular version of the MFS, also known as the Charge Simulation Method (CSM), in which the sources are fixed, when this is applied to the Dirichlet problem for Laplace’s equation in a disk.
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Smyrlis, YS., Karageorghis, A. (2002). Rotation of the Sources and Normalization of the Fundamental Solutions in the MFS. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2001. Lecture Notes in Computer Science, vol 2328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48086-2_85
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DOI: https://doi.org/10.1007/3-540-48086-2_85
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