On Discrete-Kirchhoff Plate Finite Elements: Implementation and Discretization Error

  • Boštjan Brank
  • Adnan Ibrahimbegović
  • Uroš Bohinc
Chapter
First Online:
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 45)

Abstract

We present neat and efficient computer code implementation of two types of Discrete-Kirchhoff plate finite elements—the Discrete-Kirchhoff triangle and the Discrete-Kirchhoff quadrilateral—which can be used to model numerous thin plate problems in mechanics and biology. We also present an implicit a posteriori discretization error indicator computation, based on the superconvergent patch recovery technique, for the Discrete-Kirchhoff plate finite elements. This error indicator can drive an adaptive meshing algorithm providing the most suitable finite element mesh. For an illustration, some numerical results are given.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Boštjan Brank
    • 1
  • Adnan Ibrahimbegović
    • 2
  • Uroš Bohinc
    • 3
  1. 1.Faculty of Civil and Geodetic EngineeringUniversity of LjubljanaLjubljanaSlovenia
  2. 2.Ecole Normale Supérieure de CachanLMTCachanFrance
  3. 3.Slovenian National Building and Civil Engineering InstituteLjubljanaSlovenia

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