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Maximum norm analysis of an arbitrary number of nonmatching grids method for nonlinears elliptic PDES
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نویسنده
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harbi a.
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منبع
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journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
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چکیده
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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. © 2013 abida harbi.
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آدرس
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department of mathematics,laboratory of applied mathematics,badji mokhtar-annaba university,p.o. box 12,el hadjar, Algeria
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Authors
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