Abstract
In this paper we are concerned with analyzing the numerical stability of the method of fundamental solution [2] applied to the Dirichlet problem of Laplace’s equation. In the course of the analysis we clarify the mechanism of the propagation of the perturbation in the boundary condition of the problem and develop a numerical technique to examine the numerical stability of the method.
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References
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Kitagawa, T. On the numerical stability of the method of fundamental solution applied to the Dirichlet problem. Japan J. Appl. Math. 5, 123–133 (1988). https://doi.org/10.1007/BF03167903
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DOI: https://doi.org/10.1007/BF03167903