Boundary integral equation supported differential quadrature method to solve problems over general irregular geometries

被引：0
作者：
H. Ma
Q.-H. Qin
机构：
[1] College of Sciences,Department of Mechanics
[2] Shanghai University,Department of Engineering
[3] Australian National University,undefined
来源：
Computational Mechanics | 2005年 / 36卷
关键词：
Differential quadrature; Boundary integral equation; Irregular geometry; Interpolation; Fundamental solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Based on the interpolation technique with the aid of boundary integral equations, a new differential quadrature method has been developed (boundary integral equation supported differential quadrature method, BIE-DQM) to solve boundary value problems over generally irregular geometries. The quadrature rule of the BIE-DQM is that the first and the second derivatives of a function with respect to independent variables are approximated by a weighted linear combination of the function values at all discrete nodal points and the corresponding normal derivatives at all boundary points. Several numerical examples are considered to verify the feasibility and effectiveness of the proposed algorithm.
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页码：21 / 33
页数：12
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