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A study on the source points locations in the method of fundamental solution. (English) Zbl 1011.65092

Brebbia, C. A. (ed.) et al., Boundary elements XXIV: Incorporating meshless solutions. 24th world conference, Sintra, Portugal, June 17-19, 2002. Southampton: WIT Press. 297-312 (2002).
Summary: This paper demonstrates that the placement of sources in the method of fundamental solution can be chosen arbitrary. Unlike the popular belief, which recommends placing them in a zone within a certain limit from the boundary, it was found that placing them at the infinity (numerically: very large distances) might provide the most stable results. It has been demonstrated also that the number of sources is totally independent of the number of boundary points. It is recommended that the number of sources should be less than that of the boundary points.
For the entire collection see [Zbl 0991.00034].

MSC:

65N38 Boundary element methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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