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A Family of Discontinuous Galerkin Finite Elements for the Reissner–Mindlin Plate

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Abstract

We develop a family of locking-free elements for the Reissner–Mindlin plate using Discontinuous Galerkin (DG) techniques, one for each odd degree, and prove optimal error estimates. A second family uses conforming elements for the rotations and nonconforming elements for the transverse displacement, generalizing the element of Arnold and Falk to higher degree.

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Authors and Affiliations

  1. Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN, USA, 55455

    Douglas N. Arnold

  2. Dipartimento di Matematica, Università di Pavia, IMATI-CNR, Via Ferrata 1, 27100, Pavia, Italy

    Franco Brezzi & L. Donatella Marini

Authors
  1. Douglas N. Arnold
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  2. Franco Brezzi
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  3. L. Donatella Marini
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Correspondence to L. Donatella Marini.

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Arnold, D.N., Brezzi, F. & Marini, L.D. A Family of Discontinuous Galerkin Finite Elements for the Reissner–Mindlin Plate. J Sci Comput 22, 25–45 (2005). https://doi.org/10.1007/s10915-004-4134-8

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  • DOI: https://doi.org/10.1007/s10915-004-4134-8

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