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Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem


Citation

Fakir, Md. Moslemuddin and Basri, Shahnor and Varatharajoo, Renuganth and Jaafar, Abdul Aziz and Mohd Rafie, Azmin Shakrine and Abang Abdul Majid, Dayang Laila (2008) Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem. International Review of Mechanical Engineering, 2 (3). ISSN 1970-8734; ESSN: 1970-8742

Abstract

Among various numerical solution techniques, finite element method (FEM) and differential quadrature method (DQM) are two important of those. 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 (optimum FEM, OFEM) solution to reduce the computational complexity. Then this OFEM is applied for the solution of two-dimensional heat transfer problem in a rectangular thin fin. The obtained results are compared with CFEM and optimum DQM (ODQM, with non-uniform mesh generation). It is found that the OFEM exhibit more accurate results than CFEM and ODQM showing its potentiality.


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Additional Metadata

Item Type: Article
Publisher: Praise Worthy Prize
Keywords: Optimum finite element method; Optimum differential quadrature method; Heat transfer problem
Depositing User: Nabilah Mustapa
Date Deposited: 07 May 2015 11:24
Last Modified: 06 Oct 2015 07:10
URI: http://psasir.upm.edu.my/id/eprint/13694
Statistic Details: View Download Statistic

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