WIT Press


On The Use Of Integrated Radial Basis Function Schemes In Weighted Residual Statements For Elliptic Problems

Price

Free (open access)

Paper DOI

10.2495/BE090161

Volume

49

Pages

12

Page Range

175 - 186

Published

2009

Size

398 kb

Author(s)

N. Mai-Duy & T. Tran-Cong

Abstract

In this paper, we discuss the use of integrated radial basis functions (IRBFs) in solving elliptic differential equations. Various formulations, namely point collocation, subregion collocation, Galerkin and inverse statements, are considered. IRBFs are incorporated into these formulations to represent the field variables. Numerical results indicate that this use of IRBFs leads to a considerable improvement in accuracy and convergence rate over the case of using conventional loworder polynomials. Keywords: integrated radial basis functions, collocationmethod, Galerkin method, control volume method, boundary element method.

Keywords

integrated radial basis functions, collocationmethod, Galerkin method, control volume method, boundary element method