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Nonlinear Finite Element Analysis in Structural Mechanics pp 109–121Cite as

Behaviour of Finite Element Solutions Near a Bifurcation Point

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Summary

We analyze the behaviour of finite dimensional approximation of Galerkin type in a neighborhood of a simple critical point. Error bounds of optimal type are derived. Some computational aspects are also treated.

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Reference

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Author information

Authors and Affiliations

  1. Università di Pavia, Italy

    F. Brezzi

Authors
  1. F. Brezzi
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Editor information

Editors and Affiliations

  1. Institut für Konstruktiven Ingenieurbau, Ruhr-Universität Bochum, Universitätsstraße 150, 4630, Bochum, Germany

    W. Wunderlich

  2. Fachbereich Bauingenieur- und Vermessungswesen, Universität Hannover, Callinstraße 32, 3000, Hannover, Germany

    E. Stein

  3. Department of Mechanical Engineering, MIT, 02139, Cambridge, MA, USA

    K.-J. Bathe Ph. D.

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© 1981 Springer-Verlag Berlin Heidelberg

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Brezzi, F. (1981). Behaviour of Finite Element Solutions Near a Bifurcation Point. In: Wunderlich, W., Stein, E., Bathe, KJ. (eds) Nonlinear Finite Element Analysis in Structural Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81589-8_7

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  • DOI: https://doi.org/10.1007/978-3-642-81589-8_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81591-1

  • Online ISBN: 978-3-642-81589-8

  • eBook Packages: Springer Book Archive

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