Using radial basis functions in a "finite difference mode"

被引：0

作者：

Tolstykh, AI ^{[1
]}

Shirobokov, DA ^{[1
]}

机构：

[1] Russian Acad Sci, Ctr Comp, Moscow, Russia

来源：

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2005年 / 7卷 / 02期

关键词：

radial basis functions; derivatives discretization; RBF schemes; solid mechanics equations; Navier-Stokes equations;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A way of using RBF as the basis for PDE's solvers is presented, its essence being constructing approximate formulas for derivatives discretizations based on RBF interpolants with local supports similar to stencils in finite difference methods. Numerical results for different types of elasticity equations showing reasonable accuracy and good h-convergence properties of the technique are presented. Applications of the technique to problems with non-self-adjoint operators (like those for the Navier-Stokes equations) are also considered.

引用

页码：207 / 222

页数：16

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[11] Solving partial differential equations by collocation using radial basis functions [J].