Greedy unsymmetric collocation
Greedy unsymmetric collocation
We present greedy unsymmetric collocation schemes for solving linear elliptic partial differential equations using radial basis functions. The proposed approach circumvents the illconditioning problem associated with the standard collocation technique and enables the efficient
solution of problems requiring a large set of collocation points. Numerical studies indicate that the accuracy of greedy algorithms incorporating shape parameter tuning can be significantly better than the standard collocation scheme.
radial basis functions, collocation, greedy algorithms
972-99289-1-6
A44.1-A44.6
Nair, P.B.
d4d61705-bc97-478e-9e11-bcef6683afe7
2005
Nair, P.B.
d4d61705-bc97-478e-9e11-bcef6683afe7
Nair, P.B.
(2005)
Greedy unsymmetric collocation.
Leitão, V.M.A, Alves, C.J.S. and Duarte, C.A.
(eds.)
In Proceedings of the ECCOMAS Thematic Conference on Meshless Methods.
DM-IST.
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
We present greedy unsymmetric collocation schemes for solving linear elliptic partial differential equations using radial basis functions. The proposed approach circumvents the illconditioning problem associated with the standard collocation technique and enables the efficient
solution of problems requiring a large set of collocation points. Numerical studies indicate that the accuracy of greedy algorithms incorporating shape parameter tuning can be significantly better than the standard collocation scheme.
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More information
Published date: 2005
Additional Information:
European Community on Computational Methods in Applied Sciences
Venue - Dates:
ECCOMAS Thematic Conference on Meshless Methods, Lisbon, Portugal, 2005-07-10 - 2005-07-13
Keywords:
radial basis functions, collocation, greedy algorithms
Identifiers
Local EPrints ID: 23313
URI: http://eprints.soton.ac.uk/id/eprint/23313
ISBN: 972-99289-1-6
PURE UUID: 165870f4-7c8f-435f-9b0d-3bb8d51490e4
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Date deposited: 24 Mar 2006
Last modified: 11 Dec 2021 14:44
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Contributors
Author:
P.B. Nair
Editor:
V.M.A Leitão
Editor:
C.J.S. Alves
Editor:
C.A. Duarte
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