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Solving an eigenvalue problem with a periodic domain using radial basis functions

Solving an eigenvalue problem with a periodic domain using radial basis functions
Solving an eigenvalue problem with a periodic domain using radial basis functions
A meshless method based on radial basis functions (RBFs) is proposed for solving an eigenvalue problem
with a periodic domain. We compare Wendland’s and Wu’s compactly supported RBFs. The
computational experiments examine the accuracy of the method as a result of variation in the number
and layout of the original points and in addition, the shape factor. The results obtained from the method
are in good agreement with the analytical solutions of the problem.
compactly supported radial basis functions, collocation method, periodic boundary conditions, eigenvalues
0955-7997
258-262
Hart, E.E.
d4df69be-0324-4f86-b84d-1644b7eea603
Cox, S.J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Kubytskyi, V.O.
dfaa428f-a932-4425-8b82-00da4e8a92b9
Hart, E.E.
d4df69be-0324-4f86-b84d-1644b7eea603
Cox, S.J.
0e62aaed-24ad-4a74-b996-f606e40e5c55
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Kubytskyi, V.O.
dfaa428f-a932-4425-8b82-00da4e8a92b9

Hart, E.E., Cox, S.J., Djidjeli, K. and Kubytskyi, V.O. (2009) Solving an eigenvalue problem with a periodic domain using radial basis functions. Engineering Analysis with Boundary Elements, 33 (2), 258-262. (doi:10.1016/j.enganabound.2008.04.009).

Record type: Article

Abstract

A meshless method based on radial basis functions (RBFs) is proposed for solving an eigenvalue problem
with a periodic domain. We compare Wendland’s and Wu’s compactly supported RBFs. The
computational experiments examine the accuracy of the method as a result of variation in the number
and layout of the original points and in addition, the shape factor. The results obtained from the method
are in good agreement with the analytical solutions of the problem.

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More information

Published date: February 2009
Keywords: compactly supported radial basis functions, collocation method, periodic boundary conditions, eigenvalues
Organisations: Computational Engineering and Design, Engineering Sciences

Identifiers

Local EPrints ID: 63922
URI: http://eprints.soton.ac.uk/id/eprint/63922
ISSN: 0955-7997
PURE UUID: 05b7138c-6ae0-474d-ad74-3f4c44925c34

Catalogue record

Date deposited: 19 Nov 2008
Last modified: 15 Mar 2024 11:44

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Contributors

Author: E.E. Hart
Author: S.J. Cox
Author: K. Djidjeli
Author: V.O. Kubytskyi

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