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Matlab Implementation of the Finite Element Method in Elasticity

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Abstract

A short Matlab implementation for P 1 and Q 1 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.

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Authors and Affiliations

  1. Mathematisches Seminar, Bereich II, Christian-Albrechts-Universität zu Kiel Ludewig-Meyn-Str. 4 24098 Kiel Germany e-mail: ja@numerik.uni-kiel.de, , , , , , DE

    J. Alberty

  2. Mathematisches Seminar, Bereich II, Christian-Albrechts-Universität zu Kiel Ludewig-Meyn-Str. 4 24098 Kiel Germany e-mail: saf@numerik.uni-kiel.de, , , , , , DE

    S. A. Funken

  3. Institute for Applied Mathematics and Numerical Analysis, Vienna University of Technology Wiedner Hauptstraße 8-10/115 A-1040 Vienna Austria e-mail: carsten.carstensen@tuwien.ac.at, , , , , , AT

    C. Carstensen

  4. Mathematisches Seminar, Bereich II, Christian-Albrechts-Universität zu Kiel Ludewig-Meyn-Str. 4 24098 Kiel Germany e-mail: rkl@numerik.uni-kiel.de, , , , , , DE

    R. Klose

Authors
  1. J. Alberty
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  2. C. Carstensen
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  3. S. A. Funken
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  4. R. Klose
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Received June 18, 2001; revised February 25, 2002 Published online: December 5, 2002

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Alberty, J., Carstensen, C., Funken, S. et al. Matlab Implementation of the Finite Element Method in Elasticity. Computing 69, 239–263 (2002). https://doi.org/10.1007/s00607-002-1459-8

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  • DOI: https://doi.org/10.1007/s00607-002-1459-8

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