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On the finite element method for the biharmonic dirichlet problem in polygonal domains; quasi-optimal rate of convergence

✍ Scribed by Akira Mizutani


Publisher
Japan Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
933 KB
Volume
22
Category
Article
ISSN
0916-7005

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We establish optimal (up to arbitrary Ξ΅ > 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