Solving 2D biharmonic equations by the Galerkin approach using integrated radial basis function networks

Mai-Duy, Nam and Tran-Cong, Thanh (2008) Solving 2D biharmonic equations by the Galerkin approach using integrated radial basis function networks. In: 8th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE-2008), 13-16 June 2008, Murcia, Spain.

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Abstract

[Abstract]: This paper is concerned with the use of integrated radial basis function networks (IRBFNs) for the discretisation of Galerkin approximations for Dirichlet biharmonic problems in two dimensions. The field variable is approximated by global high-order IRBFNs on uniform grids without suffering from Runge's phenomenon. Double boundary conditions, which can be of complicated shapes, are both satisfied identically. The proposed technique is verified through the solution of linear and nonlinear problems, including a benchmark buoyancy-driven flow in a square slot.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: No evidence of copyright restrictions on web site.
Depositing User: Dr Nam Mai-Duy
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 23 May 2009 06:30
Last Modified: 26 Aug 2014 04:08
Uncontrolled Keywords: Galerkin formulation, integrated RBFs, biharmonic equations, double boundary conditions
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
URI: http://eprints.usq.edu.au/id/eprint/4575

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