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
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
February 2009
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), .
(doi:10.1016/j.enganabound.2008.04.009).
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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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
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Date deposited: 19 Nov 2008
Last modified: 15 Mar 2024 11:44
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Contributors
Author:
E.E. Hart
Author:
V.O. Kubytskyi
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