Splitting strategies for preconditioned explicit group schemes

Combining iterative methods with appropriate preconditioners is a worthwhile effort in improving the performances of the methods since the reliability of these methods have been shown to improve by the use of appropriate preconditioning techniques. However, the hardest issue is to find the suitable...

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Main Authors: Norhashidah Hj. Mohd. Ali Yuzaimi Yunus, Nurul Fizaham Fijasri
Format: Article
Published: Universiti Kebangsaan Malaysia 2006
Online Access:http://journalarticle.ukm.my/3989/
http://journalarticle.ukm.my/3989/
id ukm-3989
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spelling ukm-39892012-03-28T03:43:18Z http://journalarticle.ukm.my/3989/ Splitting strategies for preconditioned explicit group schemes Norhashidah Hj. Mohd. Ali Yuzaimi Yunus, Nurul Fizaham Fijasri, Combining iterative methods with appropriate preconditioners is a worthwhile effort in improving the performances of the methods since the reliability of these methods have been shown to improve by the use of appropriate preconditioning techniques. However, the hardest issue is to find the suitable preconditioners which are computationally inexpensive and easy to solve for the group methods. The aim of this paper is to study the performance of the Explicit Group (EG) method (Evans & Yousif 1986) preconditioned by a specific ‘splitting’ approach in solving the two dimensional elliptic partial differential equation. Our goal in this work is to investigate whether the performance of this group method is affected by this preconditioner. The experimental work performed is reported and discussed. Universiti Kebangsaan Malaysia 2006-12 Article PeerReviewed Norhashidah Hj. Mohd. Ali Yuzaimi Yunus, and Nurul Fizaham Fijasri, (2006) Splitting strategies for preconditioned explicit group schemes. Sains Malaysiana, 35 (2). pp. 49-54. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol35num2_2006/vol35num2_06page49-54.html
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institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
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description Combining iterative methods with appropriate preconditioners is a worthwhile effort in improving the performances of the methods since the reliability of these methods have been shown to improve by the use of appropriate preconditioning techniques. However, the hardest issue is to find the suitable preconditioners which are computationally inexpensive and easy to solve for the group methods. The aim of this paper is to study the performance of the Explicit Group (EG) method (Evans & Yousif 1986) preconditioned by a specific ‘splitting’ approach in solving the two dimensional elliptic partial differential equation. Our goal in this work is to investigate whether the performance of this group method is affected by this preconditioner. The experimental work performed is reported and discussed.
format Article
author Norhashidah Hj. Mohd. Ali Yuzaimi Yunus,
Nurul Fizaham Fijasri,
spellingShingle Norhashidah Hj. Mohd. Ali Yuzaimi Yunus,
Nurul Fizaham Fijasri,
Splitting strategies for preconditioned explicit group schemes
author_facet Norhashidah Hj. Mohd. Ali Yuzaimi Yunus,
Nurul Fizaham Fijasri,
author_sort Norhashidah Hj. Mohd. Ali Yuzaimi Yunus,
title Splitting strategies for preconditioned explicit group schemes
title_short Splitting strategies for preconditioned explicit group schemes
title_full Splitting strategies for preconditioned explicit group schemes
title_fullStr Splitting strategies for preconditioned explicit group schemes
title_full_unstemmed Splitting strategies for preconditioned explicit group schemes
title_sort splitting strategies for preconditioned explicit group schemes
publisher Universiti Kebangsaan Malaysia
publishDate 2006
url http://journalarticle.ukm.my/3989/
http://journalarticle.ukm.my/3989/
first_indexed 2023-09-18T19:40:20Z
last_indexed 2023-09-18T19:40:20Z
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