Mai-Duy, Nam and Tran-Cong, Thanh (2010) A simple and effective preconditioner for integrated-RBF-based Cartesian-grid schemes. In: 2010 International Conference on Computational and Experimental Engineering & Sciences 2010, 28 Mar - 1 Apr 2010, Las Vegas, USA.
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This paper presents a preconditioning scheme to improve the condition number of integrated radial-basis-function (RBF) matrices in solving large-scale 2D elliptic problems. The problem domain is discretised using a Cartesian grid, over which integrated RBF networks are employed to represent the field variable. The present preconditioner is constructed from 1D integrated RBF networks along grid lines. Test problems defined on rectangular and non-rectangular domains are employed to study the performance of the scheme.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Lecture)|
|Uncontrolled Keywords:||preconditioner, integrated radial basis functions, Cartesian grids|
|Depositing User:||Dr Nam Mai-Duy|
|Date Deposited:||08 Mar 2011 00:04|
|Last Modified:||03 Jul 2013 00:30|
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