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The Rate of Convergence for the Finite Element Method

✍ Scribed by Babuška, Ivo

Book ID
118180936
Publisher
Society for Industrial and Applied Mathematics
Year
1971
Tongue
English
Weight
849 KB
Volume
8
Category
Article
ISSN
0036-1429

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The optimal convergence rate of a finite
The optimal convergence rate of a finite element method for non-smooth domains
✍ Ana Maria Soane; Manil Suri; Rouben Rostamian 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 925 KB

We establish optimal (up to arbitrary ε > 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