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

被引：23

作者：

Mai-Duy, N. ^{[1
]}

Tran-Cong, T. ^{[1
]}

机构：

[1] Univ So Queensland, Fac Engn & Surveying, Toowoomba, Qld 4350, Australia

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2008年 / 24卷 / 05期

关键词：

collocation technique; high-order differential equations; nonoverlapping domain decomposition; radial basis function;

D O I：

10.1002/num.20319

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 lRBFNs. 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. (C) 2008 Wiley Periodicals, Inc.

引用

页码：1301 / 1320

页数：20

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