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MEGSOR iterative method for the triangle element solution of 2D Poisson equations

In previous studies of finite difference approaches, the 4 Point-Modified Explicit Group (MEG) iterative method with or without a weighted parameter, ω, has been pointed out to be much faster as compared to the existing four point block iterative methods. The main characteristic of the MEG iterative...

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Main Authors: Sulaiman, Jumat, Hasan, Mohammad Khatim, Othman, Mohamed, Abdul Karim, Samsul Arffin
Format: Article
Language:English
Published: Elsevier 2012
Online Access:http://psasir.upm.edu.my/id/eprint/15601/1/15601.pdf
http://psasir.upm.edu.my/id/eprint/15601/
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spelling my.upm.eprints.156012015-12-07T02:54:29Z http://psasir.upm.edu.my/id/eprint/15601/ MEGSOR iterative method for the triangle element solution of 2D Poisson equations Sulaiman, Jumat Hasan, Mohammad Khatim Othman, Mohamed Abdul Karim, Samsul Arffin In previous studies of finite difference approaches, the 4 Point-Modified Explicit Group (MEG) iterative method with or without a weighted parameter, ω, has been pointed out to be much faster as compared to the existing four point block iterative methods. The main characteristic of the MEG iterative method is to reduce computational complexity compared to the full-sweep or half-sweep methods. Due to the effectiveness of this method, the primary goal of this paper is to demonstrate the use of the 4 Point- Modified Explicit Group (MEG) iterative method together with a weighted parameter, namely 4 Point-MEGSOR. The effectiveness of this method has been shown via results of numerical experiments, which are recorded and analyzed, show that that the 4 Point-MEGSOR iterative scheme is superior as compared with the existing four point block schemes. Elsevier 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15601/1/15601.pdf Sulaiman, Jumat and Hasan, Mohammad Khatim and Othman, Mohamed and Abdul Karim, Samsul Arffin (2012) MEGSOR iterative method for the triangle element solution of 2D Poisson equations. Procedia Computer Science, 1 (1). pp. 377-385. ISSN 1877-0509 10.1016/j.procs.2010.04.041
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In previous studies of finite difference approaches, the 4 Point-Modified Explicit Group (MEG) iterative method with or without a weighted parameter, ω, has been pointed out to be much faster as compared to the existing four point block iterative methods. The main characteristic of the MEG iterative method is to reduce computational complexity compared to the full-sweep or half-sweep methods. Due to the effectiveness of this method, the primary goal of this paper is to demonstrate the use of the 4 Point- Modified Explicit Group (MEG) iterative method together with a weighted parameter, namely 4 Point-MEGSOR. The effectiveness of this method has been shown via results of numerical experiments, which are recorded and analyzed, show that that the 4 Point-MEGSOR iterative scheme is superior as compared with the existing four point block schemes.
format Article
author Sulaiman, Jumat
Hasan, Mohammad Khatim
Othman, Mohamed
Abdul Karim, Samsul Arffin
spellingShingle Sulaiman, Jumat
Hasan, Mohammad Khatim
Othman, Mohamed
Abdul Karim, Samsul Arffin
MEGSOR iterative method for the triangle element solution of 2D Poisson equations
author_facet Sulaiman, Jumat
Hasan, Mohammad Khatim
Othman, Mohamed
Abdul Karim, Samsul Arffin
author_sort Sulaiman, Jumat
title MEGSOR iterative method for the triangle element solution of 2D Poisson equations
title_short MEGSOR iterative method for the triangle element solution of 2D Poisson equations
title_full MEGSOR iterative method for the triangle element solution of 2D Poisson equations
title_fullStr MEGSOR iterative method for the triangle element solution of 2D Poisson equations
title_full_unstemmed MEGSOR iterative method for the triangle element solution of 2D Poisson equations
title_sort megsor iterative method for the triangle element solution of 2d poisson equations
publisher Elsevier
publishDate 2012
url http://psasir.upm.edu.my/id/eprint/15601/1/15601.pdf
http://psasir.upm.edu.my/id/eprint/15601/
_version_ 1643825975601922048
score 13.211869

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