Numerische Mathematik

, Volume 117, Issue 3, pp 425-462

First online:

A mimetic discretization of the Reissner–Mindlin plate bending problem

  • L. Beirão da VeigaAffiliated withDipartimento di Matematica “F. Enriques”, Università degli Studi di Milano Email author 
  • , D. MoraAffiliated withDepartamento de Matemática, Facultad de Ciencias, Universidad del Bío BíoCentro de Investigación en Ingeniería Matemática (CI2MA), Universidad de Concepción

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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.

Mathematics Subject Classification (2000)

65N30 74K20