NDLI: A discontinuous Galerkin method¶for the plate equation

Content Provider	Springer Nature Link
Author	Hansbo, P. Larson, M.G.
Copyright Year	2002
Abstract	We present a discontinuous Galerkin method for the plate problem. The method employs a discontinuous approximation space allowing nonmatching grids and different types of approximation spaces. Continuity is enforced weakly through the variational form. Discrete approximations of the normal and twisting moments and the transversal force, which satisfy the equilibrium condition on an element level, occur naturally in the method. We show optimal a priori error estimates in various norms and investigate locking phenomena when certain stabilization parameters tend to infinity. Finally, we relate the method to two classical elements: the nonconforming Morley element and the C 1 Argyris element.
Starting Page	41
Ending Page	59
Page Count	19
File Format	PDF
ISSN	00080624
Journal	CALCOLO
Volume Number	39
Issue Number	1
e-ISSN	11265434
Language	English
Publisher	Springer-Verlag
Publisher Date	2002-03-01
Publisher Place	Milano
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Computational Mathematics

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A discontinuous Galerkin method¶for the plate equation