A study on the source points locations in the method of fundamental solution
This paper demonstrates that the placement of sources in the MFS can be chosen arbitrary.
Unlike the popular belief, which recommends placing them in a zone within a certain limit
horn 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.
Unlike the popular belief, which recommends placing them in a zone within a certain limit
horn 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.
Abstract
This paper demonstrates that the placement of sources in the MFS can be chosen arbitrary. Unlike the popular belief, which recommends placing them in a zone within a certain limit horn 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.
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