Nine point-EDGSOR iterative method for the finite element solution of 2D poisson equations

Jumat Sulaiman, Mohamed Othman, Mohammad Khatim Hasan

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

7 Citations (Scopus)

Abstract

In previous studies, the 4 Point-Explicit Decoupled Group (EDG) iterative method without or with a weighted parameter, ω has been shown to be much faster as compared to the existing four point block iterative method. Due to the effectiveness of this method, the primary goal of this paper is to illustrate the advantage of the 9 Point-EDGSOR in solving two-dimensional Poisson equations by using the half-sweep triangle finite element approximation equation based on the Galerkin scheme. In fact, formulations of the 4, 6, and 9 Point-EDGSOR iterative methods are also presented. Results of numerical experiments are recorded to show the effectiveness of the 9 Point-EDGSOR method as compared to the 4, and 6 Point-EDGSOR methods.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages764-774
Number of pages11
Volume5592 LNCS
EditionPART 1
DOIs
Publication statusPublished - 2009
EventInternational Conference on Computational Science and Its Applications, ICCSA 2009 - Seoul
Duration: 29 Jun 20092 Jul 2009

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 1
Volume5592 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

OtherInternational Conference on Computational Science and Its Applications, ICCSA 2009
CitySeoul
Period29/6/092/7/09

Fingerprint

Poisson equation
Finite Element Solution
Iterative methods
Poisson's equation
Iteration
Block Method
Sweep
Finite Element Approximation
Galerkin
Triangle
Experiments
Numerical Experiment
Formulation

Keywords

  • Explicit Decoupled Group
  • Galerkin Scheme
  • Point Block Iteration
  • Triangle Element

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Sulaiman, J., Othman, M., & Hasan, M. K. (2009). Nine point-EDGSOR iterative method for the finite element solution of 2D poisson equations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (PART 1 ed., Vol. 5592 LNCS, pp. 764-774). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5592 LNCS, No. PART 1). https://doi.org/10.1007/978-3-642-02454-2_59

Nine point-EDGSOR iterative method for the finite element solution of 2D poisson equations. / Sulaiman, Jumat; Othman, Mohamed; Hasan, Mohammad Khatim.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5592 LNCS PART 1. ed. 2009. p. 764-774 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5592 LNCS, No. PART 1).

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

Sulaiman, J, Othman, M & Hasan, MK 2009, Nine point-EDGSOR iterative method for the finite element solution of 2D poisson equations. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). PART 1 edn, vol. 5592 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 1, vol. 5592 LNCS, pp. 764-774, International Conference on Computational Science and Its Applications, ICCSA 2009, Seoul, 29/6/09. https://doi.org/10.1007/978-3-642-02454-2_59
Sulaiman J, Othman M, Hasan MK. Nine point-EDGSOR iterative method for the finite element solution of 2D poisson equations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). PART 1 ed. Vol. 5592 LNCS. 2009. p. 764-774. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1). https://doi.org/10.1007/978-3-642-02454-2_59
Sulaiman, Jumat ; Othman, Mohamed ; Hasan, Mohammad Khatim. / Nine point-EDGSOR iterative method for the finite element solution of 2D poisson equations. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5592 LNCS PART 1. ed. 2009. pp. 764-774 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1).
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