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Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains
2008
Journal of Computational Physics
The Method of Fundamental Solutions (MFS) is a popular tool to solve Laplace and Helmholtz boundary value problems. Its main drawback is that it often leads to ill-conditioned systems of equations. In this paper we investigate for the interior Helmholtz problem on analytic domains how the singularities (charge points) of the MFS basis functions have to be chosen such that approximate solutions can be represented by the MFS basis in a numerically stable way. For Helmholtz problems on the unit
doi:10.1016/j.jcp.2008.04.008
fatcat:cilfz2spwnc5znwxmmxhj54d7a