### Abstract

This paper investigates the application of the Red-Black Half-Sweep Gauss-Seidel (HSGS-RB) method by using the half-sweep triangle finite element approximation equation based on the Galerkin scheme to solve two-dimensional Poisson equations. Formulations of the full-sweep and half-sweep triangle finite element approaches in using this scheme are also derived. Some numerical experiments are conducted to show that the HSGS-RB method is superior to the Full-Sweep 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 | 326-333 |

Number of pages | 8 |

Volume | 4487 LNCS |

Publication status | Published - 2007 |

Event | 7th International Conference on Computational Science, ICCS 2007 - Beijing Duration: 27 May 2007 → 30 May 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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Volume | 4487 LNCS |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | 7th International Conference on Computational Science, ICCS 2007 |
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City | Beijing |

Period | 27/5/07 → 30/5/07 |

### Fingerprint

### Keywords

- Galerkin scheme
- Half-sweep iteration
- 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)*(Vol. 4487 LNCS, pp. 326-333). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4487 LNCS).

**Red-Black Half-Sweep iterative method using triangle finite 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).*vol. 4487 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4487 LNCS, pp. 326-333, 7th International Conference on Computational Science, ICCS 2007, Beijing, 27/5/07.

}

TY - GEN

T1 - Red-Black Half-Sweep iterative method using triangle finite element approximation for 2D poisson equations

AU - Sulaiman, J.

AU - Othman, M.

AU - Hasan, Mohammad Khatim

PY - 2007

Y1 - 2007

N2 - This paper investigates the application of the Red-Black Half-Sweep Gauss-Seidel (HSGS-RB) method by using the half-sweep triangle finite element approximation equation based on the Galerkin scheme to solve two-dimensional Poisson equations. Formulations of the full-sweep and half-sweep triangle finite element approaches in using this scheme are also derived. Some numerical experiments are conducted to show that the HSGS-RB method is superior to the Full-Sweep method.

AB - This paper investigates the application of the Red-Black Half-Sweep Gauss-Seidel (HSGS-RB) method by using the half-sweep triangle finite element approximation equation based on the Galerkin scheme to solve two-dimensional Poisson equations. Formulations of the full-sweep and half-sweep triangle finite element approaches in using this scheme are also derived. Some numerical experiments are conducted to show that the HSGS-RB method is superior to the Full-Sweep method.

KW - Galerkin scheme

KW - Half-sweep iteration

KW - Red-Black ordering

KW - Triangle element

UR - http://www.scopus.com/inward/record.url?scp=37249010981&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=37249010981&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:37249010981

SN - 9783540725831

VL - 4487 LNCS

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

SP - 326

EP - 333

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

ER -