Mohammed Cherif Bahi, Salah Boulaaras, Mohamed Haiour and Abderrahman Zarai (2018) The maximum norm analysis of a nonmatching grids method for a class of parabolic equation with linear source terms. Applied Science APPS , Volume 20 (official SCOPUS), 1-17, Applied Science APPS
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Abstract
Abstract. Motivated by the idea which has been introduced by Haiour
2 and Boulaaras' work in [11], we provide a maximum norm analysis of a
3 theta scheme combined with nite element Schwarz alternating method
4 for a class of parabolic equation on two overlapping subdomains with
5 nonmatching grids. We consider a domain which is the union of two over6
lapping subdomains where each subdomain has its own independently
7 generated grid. The two meshes being mutually independent on the over8
lap region, a triangle belonging to one triangulation does not necessarily
9 belong to the other one. Under a stability analysis on the theta scheme
10 which given by our work in [4], we establish, on each subdomain, an opti1
1 mal asymptotic behavior between the discrete Schwarz sequence and the
12 asymptotic solution of parabolic di erential equations.
2 and Boulaaras' work in [11], we provide a maximum norm analysis of a
3 theta scheme combined with nite element Schwarz alternating method
4 for a class of parabolic equation on two overlapping subdomains with
5 nonmatching grids. We consider a domain which is the union of two over6
lapping subdomains where each subdomain has its own independently
7 generated grid. The two meshes being mutually independent on the over8
lap region, a triangle belonging to one triangulation does not necessarily
9 belong to the other one. Under a stability analysis on the theta scheme
10 which given by our work in [4], we establish, on each subdomain, an opti1
1 mal asymptotic behavior between the discrete Schwarz sequence and the
12 asymptotic solution of parabolic di erential equations.
Information
| Item Type | Journal |
|---|---|
| Divisions |
» Laboratory of Computer Science and Mathematics |
| ePrint ID | 1668 |
| Date Deposited | 2019-03-19 |
| Further Information | Google Scholar |
| URI | https://univ-soukahras.dz/en/publication/article/1668 |
BibTex
@article{uniusa1668,
title={The maximum norm analysis of a nonmatching grids method for a class of parabolic equation with linear source terms},
author={Mohammed Cherif Bahi, Salah Boulaaras, Mohamed Haiour and Abderrahman Zarai},
journal={Applied Science APPS}
year={2018},
volume={Volume 20 },
number={official SCOPUS},
pages={1-17},
publisher={Applied Science APPS}
}
title={The maximum norm analysis of a nonmatching grids method for a class of parabolic equation with linear source terms},
author={Mohammed Cherif Bahi, Salah Boulaaras, Mohamed Haiour and Abderrahman Zarai},
journal={Applied Science APPS}
year={2018},
volume={Volume 20 },
number={official SCOPUS},
pages={1-17},
publisher={Applied Science APPS}
}