A simple and effective preconditioner for integrated-RBF-based Cartesian-grid schemes

Mai-Duy, Nam and Tran-Cong, Thanh (2010) A simple and effective preconditioner for integrated-RBF-based Cartesian-grid schemes. In: 2010 International Conference on Computational and Experimental Engineering & Sciences 2010, 28 Mar - 1 Apr 2010, Las Vegas, USA.

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Abstract

This paper presents a preconditioning scheme to improve the condition number of integrated radial-basis-function (RBF) matrices in solving large-scale 2D elliptic problems. The problem domain is discretised using a Cartesian grid, over which integrated RBF networks are employed to represent the field variable. The present preconditioner is constructed from 1D integrated RBF networks along grid lines. Test problems defined on rectangular and non-rectangular domains are employed to study the performance of the scheme.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Lecture)
Refereed: Yes
Item Status: Live Archive
Depositing User: Dr Nam Mai-Duy
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 08 Mar 2011 00:04
Last Modified: 15 Oct 2014 01:39
Uncontrolled Keywords: preconditioner, integrated radial basis functions, Cartesian grids
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: doi: 10.3970/icces.2010.014.051
URI: http://eprints.usq.edu.au/id/eprint/18393

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