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

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)...

Full description

Saved in:
Bibliographic Details
Main Authors: Mohd Kamalrulzaman Md Akhir, Jumat Sulaiman
Format: Article
Language:English
English
Published: Ceser Publications 2016
Subjects:
Online Access:https://eprints.ums.edu.my/id/eprint/20583/1/HSAOR%20iterative%20method%20for%20the%20finite%20element%20solution%20of%202D%20poisson%20equations.pdf
https://eprints.ums.edu.my/id/eprint/20583/7/HSAOR%20Iterative%20Method%20for%20the%20Finite%20Element%20Solution%20of.pdf
https://eprints.ums.edu.my/id/eprint/20583/
http://www.ceser.in/ceserp/index.php/ijmc/article/view/3830
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Universiti Malaysia Sabah
Language: English
English
id my.ums.eprints.20583
record_format eprints
spelling my.ums.eprints.205832020-12-28T04:48:00Z https://eprints.ums.edu.my/id/eprint/20583/ HSAOR iterative method for the finite element solution of 2D poisson equations Mohd Kamalrulzaman Md Akhir Jumat Sulaiman QA Mathematics 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. Ceser Publications 2016 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/20583/1/HSAOR%20iterative%20method%20for%20the%20finite%20element%20solution%20of%202D%20poisson%20equations.pdf text en https://eprints.ums.edu.my/id/eprint/20583/7/HSAOR%20Iterative%20Method%20for%20the%20Finite%20Element%20Solution%20of.pdf 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 http://www.ceser.in/ceserp/index.php/ijmc/article/view/3830
institution Universiti Malaysia Sabah
building UMS Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sabah
content_source UMS Institutional Repository
url_provider http://eprints.ums.edu.my/
language English
English
topic QA Mathematics
spellingShingle QA Mathematics
Mohd Kamalrulzaman Md Akhir
Jumat Sulaiman
HSAOR iterative method for the finite element solution of 2D poisson equations
description 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.
format Article
author Mohd Kamalrulzaman Md Akhir
Jumat Sulaiman
author_facet Mohd Kamalrulzaman Md Akhir
Jumat Sulaiman
author_sort Mohd Kamalrulzaman Md Akhir
title HSAOR iterative method for the finite element solution of 2D poisson equations
title_short HSAOR iterative method for the finite element solution of 2D poisson equations
title_full HSAOR iterative method for the finite element solution of 2D poisson equations
title_fullStr HSAOR iterative method for the finite element solution of 2D poisson equations
title_full_unstemmed HSAOR iterative method for the finite element solution of 2D poisson equations
title_sort hsaor iterative method for the finite element solution of 2d poisson equations
publisher Ceser Publications
publishDate 2016
url https://eprints.ums.edu.my/id/eprint/20583/1/HSAOR%20iterative%20method%20for%20the%20finite%20element%20solution%20of%202D%20poisson%20equations.pdf
https://eprints.ums.edu.my/id/eprint/20583/7/HSAOR%20Iterative%20Method%20for%20the%20Finite%20Element%20Solution%20of.pdf
https://eprints.ums.edu.my/id/eprint/20583/
http://www.ceser.in/ceserp/index.php/ijmc/article/view/3830
_version_ 1760229734175735808