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A finite element method with discontinuous rotations for the Mindlin-Reissner plate model
Högskolan i Jönköping, Tekniska Högskolan, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering.
Chalmers University of Technology and University of Gothenburg.
Umeå University.
2011 (engelsk)Inngår i: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 200, nr 5-8, s. 638-648Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2011. Vol. 200, nr 5-8, s. 638-648
Emneord [en]
Nitsche's method, Discontinuous Galerkin, Plate model, Error estimates
HSV kategori
Identifikatorer
URN: urn:nbn:se:hj:diva-15814DOI: 10.1016/j.cma.2010.09.009ISI: 000286905000013OAI: oai:DiVA.org:hj-15814DiVA, id: diva2:440346
Tilgjengelig fra: 2011-09-12 Laget: 2011-08-16 Sist oppdatert: 2017-12-08bibliografisk kontrollert

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