Mai-Duy, Nam and Tran-Cong, Thanh (2008) On the use of integrated RBFs in Galerkin approximation for elliptic problems. In: BEM/MRM 30: 30th International Conference on Boundary Elements and Other Mesh Reduction Methods, 7-9 Jul 2008, Maribor, Slovenia.
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Official URL: http://www.wessex.ac.uk/08-conferences/bem-mrm-30.html
Identification Number or DOI: doi: 10.2495/BE080171
Abstract
This paper presents a new radial-basis-function (RBF)technique for solving elliptic differential equations (DEs). Integrated RBF networks (IRBFN) are constructed to satisfy(a) the boundary conditions in a local sense using the point-collocation formulation, and (b) the DE in a global sense using the Galerkin formulation. Several numerical examples are presented to demonstrate the attractiveness of the present implementation.
| Item Type: | Conference or Workshop Item (Commonwealth Reporting Category E) (Paper) |
|---|---|
| Additional Information: | Permanent restricted access to paper due to publisher copyright restrcitions. |
| Uncontrolled Keywords: | integrated RBFs; Galerkin formulation; Neumann boundary conditions; multiple boundary conditions; domain decomposition |
| Fields of Research (FOR2008): | 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations 08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation |
| Subjects: | 290000 Engineering and Technology |
| Socio-Economic Objective (SEO2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences |
| ID Code: | 4584 |
| Deposited By: | |
| Deposited On: | 26 May 2009 11:44 |
| Last Modified: | 20 Dec 2011 10:26 |
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