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A multidomain integrated-radial-basis-function collocation method for elliptic problems

✍ Scribed by N. Mai-Duy; T. Tran-Cong

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
171 KB
Volume
24
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

This article is concerned with the use of integrated radial‐basis‐function networks (IRBFNs) and nonoverlapping domain decompositions (DDs) for numerically solving one‐ and two‐dimensional elliptic problems. A substructuring technique is adopted, where subproblems are discretized by means of one‐dimensional IRBFNs. A distinguishing feature of the present DD technique is that the continuity of the RBF solution across the interfaces is enforced with one order higher than with conventional DD techniques. Several test problems governed by second‐ and fourth‐order differential equations are considered to investigate the accuracy of the proposed technique. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008

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