A C2-continuous control-volume technique based on cartesian grids and two-node integrated-RBF elements for second-order elliptic problems
Article
Article Title | A C2-continuous control-volume technique based on cartesian grids and two-node integrated-RBF elements for second-order elliptic problems |
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ERA Journal ID | 3460 |
Article Category | Article |
Authors | An-Vo, D. A. (Author), Mai-Duy, N. (Author) and Tran-Cong, T. (Author) |
Journal Title | CMES Computer Modeling in Engineering and Sciences |
Journal Citation | 72 (4), pp. 299-334 |
Number of Pages | 36 |
Year | 2011 |
Place of Publication | Forsyth, GA. United States |
ISSN | 1526-1492 |
1526-1506 | |
Digital Object Identifier (DOI) | https://doi.org/10.3970/cmes.2011.072.299 |
Web Address (URL) | http://www.techscience.com/doi/10.3970/cmes.2011.072.299.html |
Abstract | This paper presents a new control-volume discretisation method, based on Cartesian grids and integrated-radial-basis-function elements (IRBFEs), for the solution of second-order elliptic problems in one and two dimensions. The governing equation is discretised by means of the control-volume formulation and the division of the problem domain into non-overlapping control volumes is based on |
Keywords | integrated radial-basis-function element; cartesian grid; control-volume formulation; local approximation; second-order elliptic problem; C2-continuous solution |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
401706. Numerical modelling and mechanical characterisation | |
460605. Distributed systems and algorithms | |
Byline Affiliations | Computational Engineering and Science Research Centre |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q1058/a-c2-continuous-control-volume-technique-based-on-cartesian-grids-and-two-node-integrated-rbf-elements-for-second-order-elliptic-problems
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