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Quasi-optimal rates of convergence for the Generalized Finite Element Method in polygonal domains

โœ Scribed by Mazzucato, Anna L.; Nistor, Victor; Qu, Qingqin


Book ID
122678222
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
460 KB
Volume
263
Category
Article
ISSN
0377-0427

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The optimal convergence rate of a finite
โœ Ana Maria Soane; Manil Suri; Rouben Rostamian ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 925 KB

We establish optimal (up to arbitrary ฮต > 0) convergence rates for a finite element formulation of a model second order elliptic boundary value problem in a weighted H 2 Sobolev space with 5th degree Argyris elements. This formulation arises while generalizing to the case of non-smooth domains an un