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

H. Ma; Q. H. Qin

doi:10.1007/s00466-004-0639-0

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

H. Ma^*, Q. H. Qin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	21-33
Number of pages	13
Journal	Computational Mechanics
Volume	36
Issue number	1
DOIs	https://doi.org/10.1007/s00466-004-0639-0
Publication status	Published - Jun 2005

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abstract = "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.",

keywords = "Boundary integral equation, Differential quadrature, Fundamental solution, Interpolation, Irregular geometry",

author = "H. Ma and Qin, {Q. H.}",

year = "2005",

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AU - Qin, Q. H.

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AB - 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.

KW - Boundary integral equation

KW - Differential quadrature

KW - Fundamental solution

KW - Interpolation

KW - Irregular geometry

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JO - Computational Mechanics

JF - Computational Mechanics

IS - 1

ER -

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

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