A finite element method with discontinuous rotations for the Mindlin–Reissner plate model
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
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.
Nitsche’s method, discontinuous galerkin, plate model, error estimates
IdentifiersURN: urn:nbn:se:umu:diva-51243DOI: 10.1016/j.cma.2010.09.009OAI: oai:DiVA.org:umu-51243DiVA: diva2:477885