Compact approximation stencils based on integrated flat radial basis functions

被引：7

作者：

Mai-Duy, N. ^{[1
]}

Le, T. T. V. ^{[1
]}

Tien, C. M. T. ^{[1
]}

Ngo-Cong, D. ^{[1
]}

Tran-Cong, T. ^{[1
]}

机构：

[1] Univ Southern Queensland, Sch Mech & Elect Engn, Computat Engn & Sci Res Ctr, Toowoomba, Qld 4350, Australia

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2017年 / 74卷

关键词：

Compact approximation; Local approximation; Integrated radial basis function; Flat radial basis function; FINITE-DIFFERENCE MODE; MULTIQUADRIC COLLOCATION METHOD; COMPUTATIONAL FLUID-DYNAMICS; BASIS FUNCTION NETWORKS; NUMERICAL-SOLUTION; EQUATIONS; FORMULATION; RBFS; SCHEME;

D O I：

10.1016/j.enganabound.2016.11.002

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents improved ways of constructing compact integrated radial basis function (CIRBF) stencils, based on extended precision, definite integrals, higher-order IRBFs and minimum number of derivative equations, to enhance their performance over large values of the RBF width. The proposed approaches are numerically verified through second-order linear differential equations in one and two variables. Significant improvements in the matrix condition number, solution accuracy and convergence rate with grid refinement over the usual approaches are achieved.

引用

页码：79 / 87

页数：9

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