A finite element method with discontinuous rotations for the Mindlin-Reissner plate model
Journal article, 2011

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.

galerkin method

Plate model


Discontinuous Galerkin

Error estimates

Nitsche's method


Peter F G Hansbo

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

David Heintz

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

M. G. Larson

Umeå University

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 200 5-8 638-648

Subject Categories

Computational Mathematics



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