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A finite element method with discontinuous rotations for the Mindlin–Reissner plate model
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. (UMIT)
2011 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 200, no 5-8, 638-648 p.Article in journal (Refereed) Published
Abstract [en]

We present a continuous-discontinuous finite element method for the Mindlin–Reissner plate model based on continuous polynomials of degree k ⩾ 2 for the transverse displacements and discontinuous polynomials of degree k − 1 for the rotations. We prove a priori convergence estimates, uniformly in the thickness of the plate, and thus show that locking is avoided. We also derive a posteriori error estimates based on duality, together with corresponding adaptive procedures for controlling linear functionals of the error. Finally, we present some numerical results.

Place, publisher, year, edition, pages
2011. Vol. 200, no 5-8, 638-648 p.
Keyword [en]
Nitsche’s method, discontinuous galerkin, plate model, error estimates
National Category
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-51243DOI: 10.1016/j.cma.2010.09.009OAI: oai:DiVA.org:umu-51243DiVA: diva2:477885
Available from: 2012-01-14 Created: 2012-01-14 Last updated: 2017-12-08Bibliographically approved

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Larson, Mats G

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