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Continuation for parametrized nonlinear variational inequalities

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Continuation Techniques and Bifurcation Problems

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Abstract

A theoretical foundation is given for a recently proposed continuation method for nonlinear variational inequalities that depend on a parameter. The use of a specific norm of the solution for the continuation permits to extend known theoretical results for this problem. Additionally extensive numerical results were obtained that not only show the effectiveness of the proposed method. They also clarify the phenomenon of discrete or spurious transition points observed earlier.

Supported by the Air Force Office of Scientific Research under Grant AFOSR-84-0315.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Karl Marx University, Leipzig, German Democratic Republic

    Erich Miersemann

  2. Department of Mathematics, Arizona State University, Tempe, AZ, 85287-1804, USA

    Hans D. Mittelmann

Authors
  1. Erich Miersemann
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  2. Hans D. Mittelmann
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Arizona State University, Tempe, Arizona, 85287-1804, USA

    Hans D. Mittelmann

  2. Department Computerwetenschappen, Katholieke Universiteit Leuven, Celestijnenlaan 200 A, B-3030, Leuven, Belgium

    Dirk Roose

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© 1990 Springer Basel AG

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Miersemann, E., Mittelmann, H.D. (1990). Continuation for parametrized nonlinear variational inequalities. In: Mittelmann, H.D., Roose, D. (eds) Continuation Techniques and Bifurcation Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 92. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5681-2_2

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  • DOI: https://doi.org/10.1007/978-3-0348-5681-2_2

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-2397-4

  • Online ISBN: 978-3-0348-5681-2

  • eBook Packages: Springer Book Archive

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