IRBFN-based multiscale solution of a model 1D elliptic equation
Paper
An-Vo, D.-A., Tran, C.-D., Mai-Duy, N. and Tran-Cong, T.. 2011. "IRBFN-based multiscale solution of a model 1D elliptic equation." Brebbia, C. A. and Popov, V. (ed.) 33rd International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2011). New Forest, United Kingdom 28 - 30 Jun 2011 Southampton, United Kingdom. https://doi.org/10.2495/BE110211
| Paper/Presentation Title | IRBFN-based multiscale solution of a model 1D elliptic equation |
|---|---|
| Presentation Type | Paper |
| Authors | An-Vo, D.-A. (Author), Tran, C.-D. (Author), Mai-Duy, N. (Author) and Tran-Cong, T. (Author) |
| Editors | Brebbia, C. A. and Popov, V. |
| Journal or Proceedings Title | WIT Transactions on Modelling and Simulation |
| Journal Citation | 52, pp. 141-151 |
| Number of Pages | 11 |
| Year | 2011 |
| Place of Publication | Southampton, United Kingdom |
| ISBN | 9781845645427 |
| Digital Object Identifier (DOI) | https://doi.org/10.2495/BE110211 |
| Web Address (URL) of Paper | http://library.witpress.com/pages/PaperInfo.asp?PaperID=22400 |
| Conference/Event | 33rd International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2011) |
| Event Details | 33rd International Conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM 2011) Event Date 28 to end of 30 Jun 2011 Event Location New Forest, United Kingdom |
| 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. |
| Keywords | integrated radial basis functions; point collocation; subregion collocation; multiscale elliptic problems |
| ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
| 401706. Numerical modelling and mechanical characterisation | |
| Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
| Byline Affiliations | Computational Engineering and Science Research Centre |
| Institution of Origin | University of Southern Queensland |
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