HSAOR iterative method for the finite element solution of 2D poisson equations

Mohd Kamalrulzaman Md Akhir, and Jumat Sulaiman, (2016) HSAOR iterative method for the finite element solution of 2D poisson equations. International Journal of Mathematics and Computation, 27 (2). ISSN 0974-570X

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Abstract

This paper deliberates the use of the Half-sweep Accelerated Overelaxation (HSAOR) method to solve 2D Poisson equations by using the half-sweep triangle finite element (FE) approximation equation based on the Galerkin scheme. In fact, formulations of the full sweep successive over relaxation (FSSOR), half sweep successive over relaxation (HSSOR), full-sweep accelerated over relaxation (FSAOR) and half-sweep accelerated over relaxation (HSAOR) triangle finite element (FE) approaches are also shown. Some numerical experiments are steered to show that the HSAOR method is loftier to the existing FSAOR, HSSOR and FSSOR methods.

Item Type: Article
Uncontrolled Keywords: Poisson, AOR method, Galerkin scheme (GS), Triangle Element (TE), halfsweep approach
Subjects: Q Science > QA Mathematics
Divisions: FACULTY > Faculty of Science and Natural Resources
Depositing User: Munira
Date Deposited: 06 Aug 2018 08:28
Last Modified: 06 Aug 2018 08:28
URI: http://eprints.ums.edu.my/id/eprint/20583

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