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Maximum Norm Analysis of an Arbitrary Number of Nonmatching Grids Method for Nonlinears Elliptic PDES
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-28
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We provide a maximum norm analysis of a finite element Schwarz alternating method for a nonlinear elliptic PDE on an arbitrary number of overlapping subdomains with nonmatching grids.
We consider a domain which is the union of an arbitrary number m of overlapping subdomains where each subdomain has its own independently generated grid.
The m meshes being mutually independent on the overlap regions, a triangle belonging to one triangulation does not necessarily belong to the other ones.
Under the a Lipschitz assumption on the nonlinearity, we establish, on each subdomain, an optimal L∞ error estimate between the discrete Schwarz sequence and the exact solution of the PDE.
American Psychological Association (APA)
Harbi, Abida. 2013. Maximum Norm Analysis of an Arbitrary Number of Nonmatching Grids Method for Nonlinears Elliptic PDES. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-505997
Modern Language Association (MLA)
Harbi, Abida. Maximum Norm Analysis of an Arbitrary Number of Nonmatching Grids Method for Nonlinears Elliptic PDES. Journal of Applied Mathematics No. 2013 (2013), pp.1-21.
https://search.emarefa.net/detail/BIM-505997
American Medical Association (AMA)
Harbi, Abida. Maximum Norm Analysis of an Arbitrary Number of Nonmatching Grids Method for Nonlinears Elliptic PDES. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-505997
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505997