The application of finite element method in 2d heat distribution problems for irregular geometry

In mathematics, the finite element method (FEM) is a numerical technique for finding approximate solutions of boundary value problems from differential equations. The term ‘finite element’ stems from the procedure in which a structure is divided into small but finite size elements. FEM is very usefu...

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Main Author:	Ahmad Kailani, Nor Hafizah
Format:	Thesis
Language:	English
Published:	2014
Subjects:	TA Engineering (General) Civil engineering (General)
Online Access:	http://eprints.utm.my/id/eprint/48636/1/NorHafizahAhmadKailaniMFS2014.pdf
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id	my-utm-ep.48636
record_format	uketd_dc
spelling	my-utm-ep.486362020-03-05T03:25:21Z The application of finite element method in 2d heat distribution problems for irregular geometry 2014 Ahmad Kailani, Nor Hafizah TA Engineering (General). Civil engineering (General) In mathematics, the finite element method (FEM) is a numerical technique for finding approximate solutions of boundary value problems from differential equations. The term ‘finite element’ stems from the procedure in which a structure is divided into small but finite size elements. FEM is very useful for problems with complicated geometries, loadings, and material properties where analytical solutions cannot be obtained. In this research, simple irregular problem is used as an example of industry problems to be solved using FEM and finite difference method (FDM). Matlab programming is used as a calculation medium for both FEM and FDM methods respectively. Since the results of the problem for both methods converge, it also proves that the results are valid. Hence we can conclude that simple irregular problem can be solved using FEM and FDM. From this research, we also discovered that FEM produces more stable and consistent result compared to FDM for the solution of simple irregular problem and the results are presented in graphs. 2014 Thesis http://eprints.utm.my/id/eprint/48636/ http://eprints.utm.my/id/eprint/48636/1/NorHafizahAhmadKailaniMFS2014.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:79398?queryType=vitalDismax&query=The+application+of+finite+element+method+in+2d+heat+distribution+problems+for+irregular+geometry&public=true masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	TA Engineering (General) Civil engineering (General)
spellingShingle	TA Engineering (General) Civil engineering (General) Ahmad Kailani, Nor Hafizah The application of finite element method in 2d heat distribution problems for irregular geometry
description	In mathematics, the finite element method (FEM) is a numerical technique for finding approximate solutions of boundary value problems from differential equations. The term ‘finite element’ stems from the procedure in which a structure is divided into small but finite size elements. FEM is very useful for problems with complicated geometries, loadings, and material properties where analytical solutions cannot be obtained. In this research, simple irregular problem is used as an example of industry problems to be solved using FEM and finite difference method (FDM). Matlab programming is used as a calculation medium for both FEM and FDM methods respectively. Since the results of the problem for both methods converge, it also proves that the results are valid. Hence we can conclude that simple irregular problem can be solved using FEM and FDM. From this research, we also discovered that FEM produces more stable and consistent result compared to FDM for the solution of simple irregular problem and the results are presented in graphs.
format	Thesis
qualification_level	Master's degree
author	Ahmad Kailani, Nor Hafizah
author_facet	Ahmad Kailani, Nor Hafizah
author_sort	Ahmad Kailani, Nor Hafizah
title	The application of finite element method in 2d heat distribution problems for irregular geometry
title_short	The application of finite element method in 2d heat distribution problems for irregular geometry
title_full	The application of finite element method in 2d heat distribution problems for irregular geometry
title_fullStr	The application of finite element method in 2d heat distribution problems for irregular geometry
title_full_unstemmed	The application of finite element method in 2d heat distribution problems for irregular geometry
title_sort	application of finite element method in 2d heat distribution problems for irregular geometry
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2014
url	http://eprints.utm.my/id/eprint/48636/1/NorHafizahAhmadKailaniMFS2014.pdf
_version_	1747817438820433920

The application of finite element method in 2d heat distribution problems for irregular geometry

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