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C. Shu, W. Chen, H. Xue, and H. Du, “Numerical analysis of grid distribution effect on the accuracy of differential quadrature analysis of beams and plates by error estimation of derivative approximation,” Int. Journal of Numer, Methods Engineering, Vol. 51, No. 2, pp. 159–179, 2001.

has been cited by the following article:

• TITLE: Heat Distribution in Rectangular Fins Using Efficient Finite Element and Differential Quadrature Methods

  AUTHORS: ShahNor BASRI, M. M. FAKIR, F. MUSTAPHA, D. L. A. MAJID, A. A. JAAFAR

  KEYWORDS: Efficient Finite Element Method, Efficient Differential Quadrature Method, Heat Transfer Problem

  JOURNAL NAME: Engineering, Vol.1 No.3, November 24, 2009

  ABSTRACT: Finite element method (FEM) and differential quadrature method (DQM) are among important numerical techniques used in engineering analyses. Usually elements are sub-divided uniformly in FEM (conventional FEM, CFEM) to obtain temperature distribution behavior in a fin or plate. Hence, extra computational complexity is needed to obtain a fair solution with required accuracy. In this paper, non-uniform sub-elements are considered for FEM (efficient FEM, EFEM) solution to reduce the computational complex-ity. Then this EFEM is applied for the solution of one-dimensional heat transfer problem in a rectangular thin fin. The obtained results are compared with CFEM and efficient DQM (EDQM), with non-uniform mesh generation). It is found that the EFEM exhibit more accurate results than CFEM and EDQM showing its potentiality.