A RBF-based fictitious-domain technique for Dirichlet boundary value problems in multiply-connected domains

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]: 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
Publisher: Asian-Pacific Association for Computational Mechanics
Item Status: Live Archive
Additional Information (displayed to public): Conference held in conjunction with the 11th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science. Awaiting copyright advice.
Depositing User: Dr Nam Mai-Duy
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
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 (FoR): 01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
URI: http://eprints.usq.edu.au/id/eprint/3680

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