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A mimetic discretization of the Reissner–Mindlin plate bending problem

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Abstract

We present a mimetic approximation of the Reissner–Mindlin plate bending problem which uses deflections and rotations as discrete variables. The method applies to very general polygonal meshes, even with non matching or non convex elements. We prove linear convergence for the method uniformly in the plate thickness.

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Authors and Affiliations

  1. Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Saldini 50, 20133, Milan, Italy

    L. Beirão da Veiga

  2. Departamento de Matemática, Facultad de Ciencias, Universidad del Bío Bío, Casilla 5-C, Concepción, Chile

    D. Mora

  3. Centro de Investigación en Ingeniería Matemática (CI2MA), Universidad de Concepción, Concepción, Chile

    D. Mora

Authors
  1. L. Beirão da Veiga
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  2. D. Mora
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Correspondence to L. Beirão da Veiga.

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Beirão da Veiga, L., Mora, D. A mimetic discretization of the Reissner–Mindlin plate bending problem. Numer. Math. 117, 425–462 (2011). https://doi.org/10.1007/s00211-010-0358-8

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  • DOI: https://doi.org/10.1007/s00211-010-0358-8

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