Displaying similar documents to “The block-grid method for solving Laplace's equation on polygons with nonanalytic boundary conditions.”

Some variants of the method of fundamental solutions: regularization using radial and nearly radial basis functions

Csaba Gáspár (2013)

Open Mathematics

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The method of fundamental solutions and some versions applied to mixed boundary value problems are considered. Several strategies are outlined to avoid the problems due to the singularity of the fundamental solutions: the use of higher order fundamental solutions, and the use of nearly fundamental solutions and special fundamental solutions concentrated on lines instead of points. The errors of the approximations as well as the problem of ill-conditioned matrices are illustrated via...