IRBFN-based multiscale solution of a model 1D elliptic equation

An-Vo, D.-A. ORCID: https://orcid.org/0000-0001-7528-7139 and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Mai-Duy, N. and Tran-Cong, T. (2011) IRBFN-based multiscale solution of a model 1D elliptic equation. In: 33rd International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2011), 28-30 Jun 2011, New Forest, United Kingdom.

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Abstract

Many engineering problems have a wide range of length scales in their solutions. Direct numerical simulations for these problems typically require extremely-large amounts of CPU time and computer memory, which may be too expensive or impossible on the present supercomputers. In this paper, we present a high-order method, based on the multiscale basis function framework and integrated radial-basis-function networks, for solving multiscale elliptic problems in one dimension.


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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.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Date Deposited: 29 Jan 2012 05:25
Last Modified: 21 Oct 2014 03:08
Uncontrolled Keywords: integrated radial basis functions; point collocation; subregion collocation; multiscale elliptic problems
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/10.2495/BE110211
URI: http://eprints.usq.edu.au/id/eprint/20585

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