Compact approximation stencils based on integrated flat radial basis functions

Mai-Duy, N. and Le, T. T. V. and Tien, C. M. T. and Ngo-Cong, D. and Tran-Cong, T. (2017) Compact approximation stencils based on integrated flat radial basis functions. Engineering Analysis with Boundary Elements, 74. pp. 79-87. ISSN 0955-7997

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Abstract

This paper presents improved ways of constructing compact integrated radial basis function (CIRBF) stencils, based on extended precision, definite integrals, higher-order IRBFs and minimum number of derivative equations, to enhance their performance over large values of the RBF width. The proposed approaches are numerically verified through second-order linear differential equations in one and two variables. Significant improvements in the matrix condition number, solution accuracy and convergence rate with grid refinement over the usual approaches are achieved.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Access to submitted version in accordance with the copyright policy of the publisher.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering
Date Deposited: 16 Oct 2017 01:07
Last Modified: 11 Apr 2018 04:50
Uncontrolled Keywords: compact approximation, local approximation, integrated radial basis function, flat radial basis function
Fields of Research : 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: 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: 10.1016/j.enganabound.2016.11.002
URI: http://eprints.usq.edu.au/id/eprint/30265

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