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

Open Mathematics (2013)

- Volume: 11, Issue: 8, page 1429-1440
- ISSN: 2391-5455

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topCsaba Gáspár. "Some variants of the method of fundamental solutions: regularization using radial and nearly radial basis functions." Open Mathematics 11.8 (2013): 1429-1440. <http://eudml.org/doc/269114>.

@article{CsabaGáspár2013,

abstract = {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.},

author = {Csaba Gáspár},

journal = {Open Mathematics},

keywords = {Meshless; Method of fundamental solutions; Regularization; meshless; method of fundamental solutions; regularization; Laplace equation; fourth-order equation; mixed boundary value problems; numerical examples},

language = {eng},

number = {8},

pages = {1429-1440},

title = {Some variants of the method of fundamental solutions: regularization using radial and nearly radial basis functions},

url = {http://eudml.org/doc/269114},

volume = {11},

year = {2013},

}

TY - JOUR

AU - Csaba Gáspár

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

JO - Open Mathematics

PY - 2013

VL - 11

IS - 8

SP - 1429

EP - 1440

AB - 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.

LA - eng

KW - Meshless; Method of fundamental solutions; Regularization; meshless; method of fundamental solutions; regularization; Laplace equation; fourth-order equation; mixed boundary value problems; numerical examples

UR - http://eudml.org/doc/269114

ER -

## References

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