An-Vo, D.-A. and Tran, C.-D. 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, 28-30 Jun 2011, New Forest, UK.
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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.
| Item Type: | Conference or Workshop Item (Commonwealth Reporting Category E) (Paper) |
|---|---|
| Additional Information: | Permanent restricted access to paper due to publisher copyright restrictions. |
| Uncontrolled Keywords: | integrated radial basis functions, point collocation, subregion collocation, multiscale elliptic problems |
| Fields of Research (FOR2008): | 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 |
| Subjects: | UNSPECIFIED |
| Socio-Economic Objective (SEO2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences |
| ID Code: | 20585 |
| Deposited By: | |
| Deposited On: | 29 Jan 2012 15:25 |
| Last Modified: | 11 Jul 2012 11:11 |
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