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

Jumat Sulaiman, Mohammad Khatim Hasan, Mohamed Othman, Samsul Ariffin Abdul Karim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

14 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationProcedia Computer Science
Pages377-385
Number of pages9
Volume1
Edition1
DOIs
Publication statusPublished - 2010
Event10th International Conference on Computational Science 2010, ICCS 2010 - Amsterdam, Netherlands
Duration: 31 May 20102 Jun 2010

Other

Other10th International Conference on Computational Science 2010, ICCS 2010
CountryNetherlands
CityAmsterdam
Period31/5/102/6/10

Fingerprint

Poisson equation
Iterative methods
Computational complexity
Experiments

Keywords

  • Galerkin scheme
  • Modified explicit group
  • Point block iteration
  • Triangle element

ASJC Scopus subject areas

  • Computer Science(all)

Cite this

Sulaiman, J., Hasan, M. K., Othman, M., & Karim, S. A. A. (2010). MEGSOR iterative method for the triangle element solution of 2D poisson equations. In Procedia Computer Science (1 ed., Vol. 1, pp. 377-385) https://doi.org/10.1016/j.procs.2010.04.041

MEGSOR iterative method for the triangle element solution of 2D poisson equations. / Sulaiman, Jumat; Hasan, Mohammad Khatim; Othman, Mohamed; Karim, Samsul Ariffin Abdul.

Procedia Computer Science. Vol. 1 1. ed. 2010. p. 377-385.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Sulaiman, J, Hasan, MK, Othman, M & Karim, SAA 2010, MEGSOR iterative method for the triangle element solution of 2D poisson equations. in Procedia Computer Science. 1 edn, vol. 1, pp. 377-385, 10th International Conference on Computational Science 2010, ICCS 2010, Amsterdam, Netherlands, 31/5/10. https://doi.org/10.1016/j.procs.2010.04.041
Sulaiman J, Hasan MK, Othman M, Karim SAA. MEGSOR iterative method for the triangle element solution of 2D poisson equations. In Procedia Computer Science. 1 ed. Vol. 1. 2010. p. 377-385 https://doi.org/10.1016/j.procs.2010.04.041
Sulaiman, Jumat ; Hasan, Mohammad Khatim ; Othman, Mohamed ; Karim, Samsul Ariffin Abdul. / MEGSOR iterative method for the triangle element solution of 2D poisson equations. Procedia Computer Science. Vol. 1 1. ed. 2010. pp. 377-385
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