A mimetic discretization of the Reissner–Mindlin plate bending problem

  • Authors:

  • L. Beirão da Veiga;D. Mora

  • Affiliations:

  • Università degli Studi di Milano, Dipartimento di Matematica “F. Enriques”, Via Saldini 50, 20133, Milan, Italy;Universidad del Bío Bío, Departamento de Matemática, Facultad de Ciencias, Casilla 5-C, Concepción, Chile and Universidad de Concepción, Centro de Investigaci&#x ...

  • Venue:
  • Numerische Mathematik
  • Year:
  • 2011

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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.