A RBF-based fictitious-domain technique for Dirichlet boundary value problems in multiply-connected domains
Paper
Paper/Presentation Title | A RBF-based fictitious-domain technique for Dirichlet boundary value problems in multiply-connected domains |
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Presentation Type | Paper |
Authors | Mai-Duy, Nam (Author) and Tran-Cong, Thanh (Author) |
Editors | Yagawa, G., Iu, V. P., Kashiyama, K., Miyazaki, N., Arantes e Oliveira, E., Valliappan, S., Yabe, T. and Yuan, M. W. |
Journal or Proceedings Title | Proceedings of the 3rd Asian-Pacific Congress on Computational Mechanics (APCOM'07) |
Number of Pages | 10 |
Year | 2007 |
Place of Publication | Japan |
Web Address (URL) of Paper | http://www.apacm.org/apcom07-epmescXI/ |
Conference/Event | 3rd Asian-Pacific Congress on Computational Mechanics (APCOM'07) and EPMESC XI |
Event Details | 3rd Asian-Pacific Congress on Computational Mechanics (APCOM'07) and EPMESC XI Event Date 03 to end of 06 Dec 2007 Event Location 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. |
Keywords | fictitious domains; integral collocation formulation; radial basis functions; multiply-connected domains |
ANZSRC Field of Research 2020 | 490109. Theoretical and applied mechanics |
401706. Numerical modelling and mechanical characterisation | |
Public Notes | Conference held in conjunction with the 11th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science. Awaiting copyright advice. |
Byline Affiliations | Computational Engineering and Science Research Centre |
https://research.usq.edu.au/item/9y88z/a-rbf-based-fictitious-domain-technique-for-dirichlet-boundary-value-problems-in-multiply-connected-domains
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