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

Mai-Duy, N. and Tran-Cong, T. (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 Jun 2008, Murcia, Spain.

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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: Permanent restricted access to published version due to publisher copyright policy. Later published as 'A Galerkin approach incorporating integrated radial basis function networks for the solution of 2D biharmonic equations' IN International Journal of Computer Mathematics (2009), 86(10), pp 1746-59.
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: 11 Nov 2014 00:10
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
01 Mathematical Sciences > 0102 Applied Mathematics > 010201 Approximation Theory and Asymptotic Methods
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI: http://eprints.usq.edu.au/id/eprint/4575

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