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)|
|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
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