Matlab implementation of the finite element method in elasticity

  • Authors:
  • J. Alberty;C. Carstensen;S. A. Funken;R. Klose

  • Affiliations:
  • Mathematisches Seminar, Bereich II, Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Str. 4 24098 Kiel, Germany;Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology, Wiedner Hauptstraße 8-10/115, A-1040 Vienna, Austria;Mathematisches Seminar, Bereich II, Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany;Mathematisches Seminar, Bereich II, Christian-Albrechts-Universität zu, Kiel Ludewig-Meyn-Str. 4 24098 Kiel, Germany

  • Venue:
  • Computing
  • Year:
  • 2002

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Abstract

A short Matlab implementation for P1 and Q1 finite elements (FE) is provided for the numerical solution of 2d and 3d problems in linear elasticity with mixed boundary conditions. Any adaptation from the simple model examples provided to more complex problems can easily be performed with the given documentation. Numerical examples with postprocessing and error estimation via an averaged stress field illustrate the new Matlab tool and its flexibility.