RBF computation of multiscale elliptic problems [Keynote paper]
Presentation
Paper/Presentation Title | RBF computation of multiscale elliptic problems [Keynote paper] |
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Presentation Type | Presentation |
Authors | An-Vo, D.-A. (Author), Tran, C.-D. (Author), Mai-Duy, N. (Author) and Tran-Cong, T. (Author) |
Editors | Atluri, S. N., Vusanovic, I. and Sarler, B. |
Journal or Proceedings Title | 8th ICCES Special Symposium on Meshless & Other Novel Computational Methods (ICCES MM 2012): Book of Abstracts |
Number of Pages | 1 |
Year | 2012 |
Place of Publication | Montenegro |
ISBN | 9789940527259 |
Web Address (URL) of Paper | http://www.techscience.com/icces/index.html |
Conference/Event | 8th ICCES Special Symposium on Meshless & Other Novel Computational Methods (ICCES MM 2012) |
Event Details | 8th ICCES Special Symposium on Meshless & Other Novel Computational Methods (ICCES MM 2012) Event Date 02 to end of 06 Sep 2012 Event Location Budva, Montenegro |
Abstract | Many important engineering problems have multiple-scale solutions. Composites materials, porous media, and turbulent transport in high Reynolds number flows are examples of this type. 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 develop a high order computational method, based on multiscale basis function approach and integrated radial-basis-function (IRBF) approximant, for the solution of multiscale elliptic problems with reduced computational cost. Unlike other methods based on multiscale basis function approach, sets of basis and correction functions here are obtained through highly accurate IRBF formulations. High accuracy and efficiency of this method are demonstrated by several one- and two-dimensional |
Keywords | multiscale elliptic problem |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
460207. Modelling and simulation | |
401706. Numerical modelling and mechanical characterisation | |
Public Notes | Copyright 2012 University of Montenegro Press. |
Byline Affiliations | Computational Engineering and Science Research Centre |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q1x15/rbf-computation-of-multiscale-elliptic-problems-keynote-paper
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