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On the numerical solution of contact problems

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Numerical Solution of Nonlinear Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 878))

Abstract

We consider finite element discretizations of variational problems which correspond to quasilinear elliptic boundary value problems with linear constraints. A modified block-relaxation method and a preconditioned conjugate gradient algorithm are presented which generalize known methods for bound-constraints to more general restrictions. Global convergence proofs are given and an application to the contact problem for two membranes.

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References

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Author information

Authors and Affiliations

  1. Abteilung Mathematik, Universität Dortmund, D-4600, Dortmund 50

    H. D. Mittelmann

Authors
  1. H. D. Mittelmann
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Editor information

Eugene L. Allgower Klaus Glashoff Heinz-Otto Peitgen

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© 1981 Springer-Verlag

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Mittelmann, H.D. (1981). On the numerical solution of contact problems. In: Allgower, E.L., Glashoff, K., Peitgen, HO. (eds) Numerical Solution of Nonlinear Equations. Lecture Notes in Mathematics, vol 878. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090685

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  • DOI: https://doi.org/10.1007/BFb0090685

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10871-9

  • Online ISBN: 978-3-540-38781-7

  • eBook Packages: Springer Book Archive

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