A meshfree method based on radial basis functions for the eigenvalues of transient Stokes equations

被引：17

作者：

Golbabai, A. ^{[1
]}

Rabiei, H. ^{[1
]}

机构：

[1] Iran Univ Sci & Technol, Sch Math, Tehran, Iran

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2012年 / 36卷 / 11期

关键词：

Stokes eigenvalue problem; RBF; Collocation method; Shape parameter; Collocation on boundary technique; DATA APPROXIMATION SCHEME; FINITE-ELEMENT-METHOD; NEURAL-NETWORK; SUPERCONVERGENCE; MULTIQUADRICS; PERFORMANCE; FLOW;

D O I：

10.1016/j.enganabound.2012.04.001

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a meshfree method based on radial basis functions (RBFs) is developed to approximate the eigenvalues of Stokes equations in primitive variables in a square domain. To avoid the inaccuracy near the boundaries, the collocation on boundary technique is applied. This approach leads to more accurate solutions in comparisons with finite element methods. To investigate the role of shape parameter in approximation, some discussion on shape parameter is presented. (c) 2012 Published by Elsevier Ltd.

引用

页码：1555 / 1559

页数：5

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[2]

[Anonymous], 1988, Chicago Lectures in Mathematics

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