A meshless IRBFN-based method for transient problems
Article
Article Title | A meshless IRBFN-based method for transient problems |
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ERA Journal ID | 3460 |
Article Category | Article |
Authors | Mai-Cao, L. (Author) and Tran-Cong, T. (Author) |
Journal Title | CMES Computer Modeling in Engineering and Sciences |
Journal Citation | 7 (2), pp. 149-171 |
Number of Pages | 43 |
Year | 2005 |
Place of Publication | United States |
ISSN | 1526-1492 |
1526-1506 | |
Web Address (URL) | http://www.techscience.com/cmes_pdf/v7n2/pdf/396875961869.pdf |
Abstract | [Abstract]: The Indirect Radial Basis Function Network (IRBFN) method has been reported to be a highly accurate tool for approximating multivariate functions and solving elliptic partial differential equations (PDEs). The present method is a truly meshless method as defined in [\citet *{Atluri_Shen_02a}]. A recent development of the method for solving transient problems is presented in this paper. Two numerical schemes combining the IRBFN method with different time integration techniques based on either fully or semi-discrete framework are proposed. The two schemes are implemented making use of Hardy's multiquadrics (MQ) and Duchon's thin plate splines (TPS). Some example problems are solved by the present method, and the results compare favorably in terms of accuracy and efficiency with those from other numerical methods such as finite difference (FDM), finite element (FEM), boundary element (BEM) and the Direct Radial Basis Function Network (DRBFN) methods. |
Keywords | meshless method; radial basis functions; IRBFN method; time-dependent PDEs |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
401706. Numerical modelling and mechanical characterisation | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Computational Engineering and Science Research Centre |
https://research.usq.edu.au/item/9y538/a-meshless-irbfn-based-method-for-transient-problems
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