Please use this identifier to cite or link to this item: https://doi.org/10.1002/nme.150
Title: Numerical study of grid distribution effect on accuracy of DQ analysis of beams and plates by error estimation of derivative approximation
Authors: Shu, C. 
Chen, W.
Xue, H. 
Du, H.
Keywords: Differential quadranture
Grid structure
High-order boundary value problems
Truncation error
Issue Date: 20-May-2001
Source: Shu, C.,Chen, W.,Xue, H.,Du, H. (2001-05-20). Numerical study of grid distribution effect on accuracy of DQ analysis of beams and plates by error estimation of derivative approximation. International Journal for Numerical Methods in Engineering 51 (2) : 159-179. ScholarBank@NUS Repository. https://doi.org/10.1002/nme.150
Abstract: The accuracy of global methods such as the differential quadrature (DQ) approach is usually sensitive to the grid point distribution. This paper is to numerically study the effect of grid point distribution on the accuracy of DQ solution for beams and plates. It was found that the stretching of grid towards the boundary can improve the accuracy of DQ solution, especially for coarse meshes. The optimal grid point distribution (corresponding to optimal stretching parameter) depends on the order of derivatives in the boundary condition and the number of grid points used. The optimal grid distribution may not be from the roots of orthogonal polynomials. This differs somewhat from the conventional analysis. This paper also proposes a simple and effective formulation for stretching the grid towards the boundary. The error distribution of derivative approximation is also studied, and used to analyze the effect of grid point distribution on accuracy of numerical solutions. Copyright © 2001 John Wiley and Sons, Ltd.
Source Title: International Journal for Numerical Methods in Engineering
URI: http://scholarbank.nus.edu.sg/handle/10635/60964
ISSN: 00295981
DOI: 10.1002/nme.150
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