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

• Autorzy: Csaba Gáspár
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Meshless; Method of fundamental solutions; Regularization

Kategorie tematyczne

• 65N80: Fundamental solutions, Green's function methods, etc.
• 65N99: None of the above, but in this section

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 8
• Strony: 1429-1440

Daty

wydano

2013-08-01

online

2013-05-22

Twórcy

autor

Csaba Gáspár

• Széchenyi István University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0251-7