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A discontinuous Galerkin method for the plate equation
Jönköping University, School of Engineering, JTH. Research area Product Development - Simulation and Optimization.
Chalmers University of Technology.
2002 (English)In: Calcolo (Testo stampato), ISSN 0008-0624, E-ISSN 1126-6434, Vol. 39, no 1, 41-59 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2002. Vol. 39, no 1, 41-59 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:hj:diva-15848DOI: 10.1007/s100920200001ISI: 000176509100002OAI: oai:DiVA.org:hj-15848DiVA: diva2:440294
Available from: 2011-09-12 Created: 2011-08-16 Last updated: 2012-02-07Bibliographically approved

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Hansbo, Peter
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