On the use of integrated RBFs in Galerkin approximation for elliptic problems

Mai-Duy, Nam and Tran-Cong, Thanh (2008) On the use of integrated RBFs in Galerkin approximation for elliptic problems. In: BEM/MRM 30: 30th International Conference on Boundary Elements and Other Mesh Reduction Methods, 7-9 Jul 2008, Maribor, Slovenia.

Abstract

This paper presents a new radial-basis-function (RBF)technique for solving elliptic differential equations (DEs). Integrated RBF networks (IRBFN) are constructed to satisfy(a) the boundary conditions in a local sense using the point-collocation formulation, and (b) the DE in a global sense using the Galerkin formulation. Several numerical examples are presented to demonstrate the attractiveness of the present implementation.


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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 paper due to publisher copyright restrcitions.
Depositing User: Prof Thanh Tran-Cong
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 26 May 2009 01:44
Last Modified: 26 Aug 2014 04:11
Uncontrolled Keywords: integrated RBFs; Galerkin formulation; Neumann boundary conditions; multiple boundary conditions; domain decomposition
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: doi: 10.2495/BE080171
URI: http://eprints.usq.edu.au/id/eprint/4584

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