HSAOR iterative method for the finite element solution of 2D poisson equations
This paper deliberates the use of the Half-sweep Accelerated Overelaxation (HSAOR) method to solve 2D Poisson equations by using the half-sweep triangle finite element (FE) approximation equation based on the Galerkin scheme. In fact, formulations of the full sweep successive over relaxation (FSSOR)...
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my.ums.eprints.205832020-12-28T04:48:00Z https://eprints.ums.edu.my/id/eprint/20583/ HSAOR iterative method for the finite element solution of 2D poisson equations Mohd Kamalrulzaman Md Akhir Jumat Sulaiman QA Mathematics This paper deliberates the use of the Half-sweep Accelerated Overelaxation (HSAOR) method to solve 2D Poisson equations by using the half-sweep triangle finite element (FE) approximation equation based on the Galerkin scheme. In fact, formulations of the full sweep successive over relaxation (FSSOR), half sweep successive over relaxation (HSSOR), full-sweep accelerated over relaxation (FSAOR) and half-sweep accelerated over relaxation (HSAOR) triangle finite element (FE) approaches are also shown. Some numerical experiments are steered to show that the HSAOR method is loftier to the existing FSAOR, HSSOR and FSSOR methods. Ceser Publications 2016 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20583/1/HSAOR%20iterative%20method%20for%20the%20finite%20element%20solution%20of%202D%20poisson%20equations.pdf text en https://eprints.ums.edu.my/id/eprint/20583/7/HSAOR%20Iterative%20Method%20for%20the%20Finite%20Element%20Solution%20of.pdf Mohd Kamalrulzaman Md Akhir and Jumat Sulaiman (2016) HSAOR iterative method for the finite element solution of 2D poisson equations. International Journal of Mathematics and Computation, 27 (2). ISSN 0974-570X http://www.ceser.in/ceserp/index.php/ijmc/article/view/3830 |
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This paper deliberates the use of the Half-sweep Accelerated Overelaxation (HSAOR) method to solve 2D Poisson equations by using the half-sweep triangle finite element (FE) approximation equation based on the Galerkin scheme. In fact, formulations of the full sweep successive over relaxation (FSSOR), half sweep successive over relaxation (HSSOR), full-sweep accelerated over relaxation (FSAOR) and half-sweep accelerated over relaxation (HSAOR) triangle finite element (FE) approaches are also shown. Some numerical experiments are steered to show that the HSAOR method is loftier to the existing FSAOR, HSSOR and FSSOR methods. |
format |
Article |
author |
Mohd Kamalrulzaman Md Akhir Jumat Sulaiman |
author_facet |
Mohd Kamalrulzaman Md Akhir Jumat Sulaiman |
author_sort |
Mohd Kamalrulzaman Md Akhir |
title |
HSAOR iterative method for the finite element solution of 2D poisson equations |
title_short |
HSAOR iterative method for the finite element solution of 2D poisson equations |
title_full |
HSAOR iterative method for the finite element solution of 2D poisson equations |
title_fullStr |
HSAOR iterative method for the finite element solution of 2D poisson equations |
title_full_unstemmed |
HSAOR iterative method for the finite element solution of 2D poisson equations |
title_sort |
hsaor iterative method for the finite element solution of 2d poisson equations |
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Ceser Publications |
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2016 |
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https://eprints.ums.edu.my/id/eprint/20583/1/HSAOR%20iterative%20method%20for%20the%20finite%20element%20solution%20of%202D%20poisson%20equations.pdf https://eprints.ums.edu.my/id/eprint/20583/7/HSAOR%20Iterative%20Method%20for%20the%20Finite%20Element%20Solution%20of.pdf https://eprints.ums.edu.my/id/eprint/20583/ http://www.ceser.in/ceserp/index.php/ijmc/article/view/3830 |
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