On the use of integrated radial basis function schemes in weighted residuals statements for elliptic problems

Mai-Duy, Nam and Tran-Cong, Thanh (2009) On the use of integrated radial basis function schemes in weighted residuals statements for elliptic problems. In: 31st International Conference on Boundary Elements and Other Mesh Reduction Methods (BEM/MRM 31), 2-4 Sep 2009, New Forest, UK.

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Abstract

In this paper, we discuss the use of integrated radial basis functions (IRBFs) in solving elliptic differential equations. Various formulations, namely point collocation, subregion collocation, Galerkin and inverse statements, are considered. IRBFs are incorporated into these formulations to represent the field variables. Numerical results indicate that this use of IRBFs leads to a considerable improvement in accuracy and convergence rate over the case of using conventional low-order polynomials.


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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 restrictions.
Depositing User: Prof Thanh Tran-Cong
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 28 Jun 2010 05:14
Last Modified: 02 Jul 2013 23:34
Uncontrolled Keywords: integrated radial basis functions; collocation method; Galerkin method; control volume method; boundary element method
Fields of Research (FOR2008): 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
Identification Number or DOI: doi: 10.2495/BE090161
URI: http://eprints.usq.edu.au/id/eprint/6497

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