Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem

Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem

<p/> <p>We provide a maximum norm analysis of an overlapping Schwarz method on nonmatching grids for second-order elliptic obstacle problem. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The grid point...

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Main Authors: Saadi S, Boulbrachene M
Format: Article
Language:English
Published: SpringerOpen 2006-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2006/085807
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spelling doaj-a6aca730568548939c9645edaa73555e2020-11-25T00:14:31ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472006-01-0120061085807Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problemSaadi SBoulbrachene M<p/> <p>We provide a maximum norm analysis of an overlapping Schwarz method on nonmatching grids for second-order elliptic obstacle problem. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The grid points on the subdomain boundaries need not match the grid points from the other subdomain. Under a discrete maximum principle, we show that the discretization on each subdomain converges quasi-optimally in the <it>L</it><sup>&#8734;</sup> norm.</p> http://www.advancesindifferenceequations.com/content/2006/085807
collection DOAJ
language English
format Article
sources DOAJ
author Saadi S
Boulbrachene M
spellingShingle Saadi S
Boulbrachene M
Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem
Advances in Difference Equations
author_facet Saadi S
Boulbrachene M
author_sort Saadi S
title Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem
title_short Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem
title_full Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem
title_fullStr Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem
title_full_unstemmed Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem
title_sort maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2006-01-01
description <p/> <p>We provide a maximum norm analysis of an overlapping Schwarz method on nonmatching grids for second-order elliptic obstacle problem. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The grid points on the subdomain boundaries need not match the grid points from the other subdomain. Under a discrete maximum principle, we show that the discretization on each subdomain converges quasi-optimally in the <it>L</it><sup>&#8734;</sup> norm.</p>
url http://www.advancesindifferenceequations.com/content/2006/085807
work_keys_str_mv AT saadis maximumnormanalysisofanoverlappingnonmatchinggridsmethodfortheobstacleproblem
AT boulbrachenem maximumnormanalysisofanoverlappingnonmatchinggridsmethodfortheobstacleproblem
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