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

100%

Gáspár C.

Open Mathematics

2013

tom 11

nr 8

1429-1440

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 numerical examples.

Ograniczanie wyników

1 Open Mathematics

1 Gáspár C.

1 2013

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