On the use of integrated RBFs in Galerkin approximation for elliptic problems

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.


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.

Statistics for USQ ePrint 4584
Statistics for this ePrint Item
Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to paper due to publisher copyright restrcitions.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 26 May 2009 01:44
Last Modified: 15 Oct 2014 02:17
Uncontrolled Keywords: integrated RBFs; Galerkin formulation; Neumann boundary conditions; multiple boundary conditions; domain decomposition
Fields of Research : 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
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.2495/BE080171
URI: http://eprints.usq.edu.au/id/eprint/4584

Actions (login required)

View Item Archive Repository Staff Only