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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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
|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
|Deposited On:||29 Jan 2012 15:25|
|Last Modified:||11 Jul 2012 11:11|
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