Error estimation of bilinear Galerkin finite element method for 2D thermal problems

Hoq, S. M. Afzal and Okhunov, Abdurahim and C. P. Tso, Tso (2020) Error estimation of bilinear Galerkin finite element method for 2D thermal problems. 3C Tecnología. Glosas de innovación aplicadas a la pyme, 9 (1). pp. 79-93. ISSN 2254 – 4143

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Abstract

This study demonstrates a two-dimensional steady state heat conduction Laplace partial differential equation solution using the bilinear Galerkin finite element method. Heat transfer analysis is of vital importance in many engineering applications and devising computationally inexpensive numerical methods while maintaining accuracy is one of the primary concerns. The method uses structured mesh grid over a two-dimensional rectangular domain and solved using a stiffness matrix for the bilinear elements, calculated using the proposed modified numerical scheme. Several numerical experiments are conducted by controlling the number of nodes and changing element sizes of the presented scheme, and comparison made between analytical solution and software generated solution.

Item Type:	Article (Journal)
Additional Information:	6825/83047
Uncontrolled Keywords:	Galerkin, method, Bilinear element, Heat conduction, Error analysis, Partial differential equation
Subjects:	T Technology > TJ Mechanical engineering and machinery
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Abdurahim Okhunov
Date Deposited:	18 Sep 2020 10:16
Last Modified:	18 Sep 2020 10:16
URI:	http://irep.iium.edu.my/id/eprint/83047

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