### Abstract

This paper discusses the use of the 4 Point-Explicit Decoupled Group (EDG) iterative method together with a weighted parameter, namely 4 Point-EDGSOR. The effectiveness of this method will be investigated to solve two-dimensional Poisson equations by using the half-sweep triangle finite element approximation equation based on the Galerkin scheme. In fact, formulations of the full-sweep and half-sweep triangle finite element approaches are also shown. Then implementation of the 4 Point-EDGSOR was performed by combining the Red-Black (RB) ordering strategy. Some numerical experiments are conducted to show that the 4 Point-EDCSOR-RB method is superior to the existing 4 Point-EDG method.

Original language | English |
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Title of host publication | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Pages | 298-308 |

Number of pages | 11 |

Volume | 4707 LNCS |

Edition | PART 3 |

Publication status | Published - 2007 |

Event | International Conference on Computational Science and its Applications, ICCSA 2007 - Kuala Lumpur Duration: 26 Aug 2007 → 29 Aug 2007 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Number | PART 3 |

Volume | 4707 LNCS |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | International Conference on Computational Science and its Applications, ICCSA 2007 |
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City | Kuala Lumpur |

Period | 26/8/07 → 29/8/07 |

### Fingerprint

### Keywords

- Explicit decoupled group
- Galerkin scheme
- Red-black ordering
- Triangle element

### ASJC Scopus subject areas

- Computer Science(all)
- Biochemistry, Genetics and Molecular Biology(all)
- Theoretical Computer Science

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*(PART 3 ed., Vol. 4707 LNCS, pp. 298-308). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4707 LNCS, No. PART 3).

**Red-black EDGSOR iterative method using triangle element approximation for 2D poisson equations.** / Sulaiman, J.; Othman, M.; Hasan, Mohammad Khatim.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).*PART 3 edn, vol. 4707 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 3, vol. 4707 LNCS, pp. 298-308, International Conference on Computational Science and its Applications, ICCSA 2007, Kuala Lumpur, 26/8/07.

}

TY - GEN

T1 - Red-black EDGSOR iterative method using triangle element approximation for 2D poisson equations

AU - Sulaiman, J.

AU - Othman, M.

AU - Hasan, Mohammad Khatim

PY - 2007

Y1 - 2007

N2 - This paper discusses the use of the 4 Point-Explicit Decoupled Group (EDG) iterative method together with a weighted parameter, namely 4 Point-EDGSOR. The effectiveness of this method will be investigated to solve two-dimensional Poisson equations by using the half-sweep triangle finite element approximation equation based on the Galerkin scheme. In fact, formulations of the full-sweep and half-sweep triangle finite element approaches are also shown. Then implementation of the 4 Point-EDGSOR was performed by combining the Red-Black (RB) ordering strategy. Some numerical experiments are conducted to show that the 4 Point-EDCSOR-RB method is superior to the existing 4 Point-EDG method.

AB - This paper discusses the use of the 4 Point-Explicit Decoupled Group (EDG) iterative method together with a weighted parameter, namely 4 Point-EDGSOR. The effectiveness of this method will be investigated to solve two-dimensional Poisson equations by using the half-sweep triangle finite element approximation equation based on the Galerkin scheme. In fact, formulations of the full-sweep and half-sweep triangle finite element approaches are also shown. Then implementation of the 4 Point-EDGSOR was performed by combining the Red-Black (RB) ordering strategy. Some numerical experiments are conducted to show that the 4 Point-EDCSOR-RB method is superior to the existing 4 Point-EDG method.

KW - Explicit decoupled group

KW - Galerkin scheme

KW - Red-black ordering

KW - Triangle element

UR - http://www.scopus.com/inward/record.url?scp=38149027002&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38149027002&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:38149027002

SN - 9783540744825

VL - 4707 LNCS

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 298

EP - 308

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

ER -