A multidomain integrated-radial-basis-function collocation method for elliptic problems
Article
Article Title | A multidomain integrated-radial-basis-function collocation method for elliptic problems |
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ERA Journal ID | 344 |
Article Category | Article |
Authors | Mai-Duy, Nam (Author) and Tran-Cong, Thanh (Author) |
Journal Title | Numerical Methods for Partial Differential Equations |
Journal Citation | 24 (5), pp. 1301-1320 |
Number of Pages | 20 |
Year | 2008 |
Place of Publication | Hoboken, NJ. United States |
ISSN | 0749-159X |
1098-2426 | |
Digital Object Identifier (DOI) | https://doi.org/10.1002/num.20319 |
Web Address (URL) | http://onlinelibrary.wiley.com/doi/10.1002/num.20319/pdf |
Abstract | This article is concerned with the use of integrated radial-basis-function networks (IRBFNs) and non-overlapping 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. |
Keywords | non-overlapping domain decomposition; radial basis function; collocation technique; high-order differential equations |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
490199. Applied mathematics not elsewhere classified | |
490404. Combinatorics and discrete mathematics (excl. physical combinatorics) | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | Department of Mechanical and Mechatronic Engineering |
https://research.usq.edu.au/item/9yx1x/a-multidomain-integrated-radial-basis-function-collocation-method-for-elliptic-problems
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