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/School / Institute/Centre: | Historic - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering (1 Jul 2013 - 31 Dec 2021) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering (1 Jul 2013 - 31 Dec 2021) |
| Date Deposited: | 16 Oct 2017 01:07 |
| Last Modified: | 03 Sep 2020 02:26 |
| Uncontrolled Keywords: | compact approximation, local approximation, integrated radial basis function, flat radial basis function |
| Fields of Research (2008): | 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 |
| Fields of Research (2020): | 49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490303 Numerical solution of differential and integral equations 40 ENGINEERING > 4017 Mechanical engineering > 401706 Numerical modelling and mechanical characterisation |
| Socio-Economic Objectives (2008): | 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: | https://doi.org/10.1016/j.enganabound.2016.11.002 |
| URI: | http://eprints.usq.edu.au/id/eprint/30265 |
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