A new theoretical error estimate of the method of fundamental solutions applied to reduced wave problems in the exterior region of a disk

Authors:
Hidenori Ogata;Fumihiro Chiba;Teruo Ushijima
Affiliations:
-;-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

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Abstract

In this paper, we present a mathematical study of the method of fundamental solutions (MFS) applied to reduced wave problems with Dirichlet boundary conditions in the exterior domain of a disk. A theorem in this paper shows that the MFS with N source points in equi-distantly equally phased arrangement with assignment parameter q(0