Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem
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 computa...
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| Format: | Article |
| Language: | English |
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Praise Worthy Prize
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/13694/ http://psasir.upm.edu.my/id/eprint/13694/1/Comparison%20of%20optimum%20finite%20element%20method%20vs.pdf |
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| author | Fakir, Md. Moslemuddin Basri, Shahnor Varatharajoo, Renuganth Jaafar, Abdul Aziz Mohd Rafie, Azmin Shakrine Abang Abdul Majid, Dayang Laila |
| author_facet | Fakir, Md. Moslemuddin Basri, Shahnor Varatharajoo, Renuganth Jaafar, Abdul Aziz Mohd Rafie, Azmin Shakrine Abang Abdul Majid, Dayang Laila |
| author_sort | Fakir, Md. Moslemuddin |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T07:55:04Z |
| format | Article |
| id | upm-13694 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:55:04Z |
| publishDate | 2008 |
| publisher | Praise Worthy Prize |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-136942015-10-06T07:10:54Z http://psasir.upm.edu.my/id/eprint/13694/ Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem Fakir, Md. Moslemuddin Basri, Shahnor Varatharajoo, Renuganth Jaafar, Abdul Aziz Mohd Rafie, Azmin Shakrine Abang Abdul Majid, Dayang Laila 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. Praise Worthy Prize 2008 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/13694/1/Comparison%20of%20optimum%20finite%20element%20method%20vs.pdf 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 |
| spellingShingle | Fakir, Md. Moslemuddin Basri, Shahnor Varatharajoo, Renuganth Jaafar, Abdul Aziz Mohd Rafie, Azmin Shakrine Abang Abdul Majid, Dayang Laila Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem |
| title | Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem |
| title_full | Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem |
| title_fullStr | Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem |
| title_full_unstemmed | Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem |
| title_short | Comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem |
| title_sort | comparison of optimum finite element method vs. differential quadrature method in two-dimensional heat transfer problem |
| url | http://psasir.upm.edu.my/id/eprint/13694/ http://psasir.upm.edu.my/id/eprint/13694/1/Comparison%20of%20optimum%20finite%20element%20method%20vs.pdf |