Mai-Duy, Nam and Tran-Cong, Thanh (2007) A RBF-based fictitious-domain technique for Dirichlet boundary value problems in multiply-connected domains. In: 3rd Asian-Pacific Congress on Computational Mechanics (APCOM'07) and EPMESC XI, 3-6 Dec 2007, Kyoto, Japan.
Abstract
[Abstract]: This paper reports a fictitious-domain collocation technique, based on one-dimensional integrated radial basis function networks (1D-IRBFNs), for the solution of Dirichlet boundary value problems governed by Poisson equation in multiply-connected domains. The problem domain is rendered simply-connected by filling the holes with the same material. One-dimensional IRBFNs are constructed to satisfy the governing equation in the whole simply-connected domain together with all actual boundary conditions. The performance of the proposed technique is numerically investigated through several test problems.
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| Item Type: | Conference or Workshop Item (Commonwealth Reporting Category E) (Paper) |
|---|---|
| Refereed: | Yes |
| Item Status: | Live Archive |
| Additional Information: | Conference held in conjunction with the 11th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science. Awaiting copyright advice. |
| Faculty/School / Institute/Centre: | Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013) |
| Date Deposited: | 14 May 2008 00:27 |
| Last Modified: | 02 Jul 2013 22:56 |
| Uncontrolled Keywords: | fictitious domains; integral collocation formulation; radial basis functions; multiply-connected domains |
| Fields of Research (2008): | 01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation |
| Fields of Research (2020): | 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490109 Theoretical and applied mechanics 40 ENGINEERING > 4017 Mechanical engineering > 401706 Numerical modelling and mechanical characterisation |
| URI: | http://eprints.usq.edu.au/id/eprint/3680 |
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