On The Use Of Integrated Radial Basis Function Schemes In Weighted Residual Statements For Elliptic Problems
Free (open access)
175 - 186
N. Mai-Duy & T. Tran-Cong
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.
integrated radial basis functions, collocationmethod, Galerkin method, control volume method, boundary element method