Boulaares salah, Bahi mohammed cherif, mohamed haiour and Abderrahmane zarai (2018) The maximum norm analysis of a nonmatching grids method for a class of parabolic equation. official SCOPUS , (Boletim da Sociedade), , official SCOPUS
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Abstract
abstract: Motivated by the idea which has been introduced by M. Haiour and
S.Boulaaras (Proc. Indian Acad. Sci. (Math. Sci.) Vol. 121,No. 4, November
2011,pp.481–493), we provide a maximum norm analysis of Euler combined with
finite element Schwarz alternating method for a class of parabolic equation on with
nolinear source terms two overlapping subdomains with nonmatching grids. We
consider a domain which is the union of two overlapping subdomains where each
subdomain has its own independently generated grid. The two meshes being mutually
independent on the overlap region, a triangle belonging to one triangulation
does not necessarily belong to the other one. Under a stability analysis on Euler
scheme which given by our work in (App. Math. Comp., 217, 6443–6450 (2011)), we
establish, on each subdomain, an optimal asymptotic behavior between the discrete
Schwarz sequence and the asymptotic solution of parabolic differential equations.
S.Boulaaras (Proc. Indian Acad. Sci. (Math. Sci.) Vol. 121,No. 4, November
2011,pp.481–493), we provide a maximum norm analysis of Euler combined with
finite element Schwarz alternating method for a class of parabolic equation on with
nolinear source terms two overlapping subdomains with nonmatching grids. We
consider a domain which is the union of two overlapping subdomains where each
subdomain has its own independently generated grid. The two meshes being mutually
independent on the overlap region, a triangle belonging to one triangulation
does not necessarily belong to the other one. Under a stability analysis on Euler
scheme which given by our work in (App. Math. Comp., 217, 6443–6450 (2011)), we
establish, on each subdomain, an optimal asymptotic behavior between the discrete
Schwarz sequence and the asymptotic solution of parabolic differential equations.
Information
| Item Type | Journal |
|---|---|
| Divisions |
» Laboratory of Computer Science and Mathematics |
| ePrint ID | 1669 |
| Date Deposited | 2019-03-19 |
| Further Information | Google Scholar |
| URI | https://univ-soukahras.dz/en/publication/article/1669 |
BibTex
@article{uniusa1669,
title={The maximum norm analysis of a nonmatching grids method for a class of parabolic equation},
author={Boulaares salah, Bahi mohammed cherif, mohamed haiour and Abderrahmane zarai},
journal={official SCOPUS}
year={2018},
volume={},
number={Boletim da Sociedade},
pages={},
publisher={official SCOPUS}
}
title={The maximum norm analysis of a nonmatching grids method for a class of parabolic equation},
author={Boulaares salah, Bahi mohammed cherif, mohamed haiour and Abderrahmane zarai},
journal={official SCOPUS}
year={2018},
volume={},
number={Boletim da Sociedade},
pages={},
publisher={official SCOPUS}
}