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On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction

Author

Listed:
  • Helmut Gfrerer

    (Johannes Kepler University Linz)

  • Michael Mandlmayr

    (Johannes Kepler University Linz)

  • Jiří V. Outrata

    (Czech Academy of Sciences
    Federation University of Australia)

  • Jan Valdman

    (Czech Academy of Sciences
    Czech Technical University in Prague)

Abstract

In the paper, a variant of the semismooth $$^{*}$$ ∗ Newton method is developed for the numerical solution of generalized equations, in which the multi-valued part is a so-called SCD (subspace containing derivative) mapping. Under a rather mild regularity requirement, the method exhibits (locally) superlinear convergence behavior. From the main conceptual algorithm, two implementable variants are derived whose efficiency is tested via a generalized equation modeling a discretized static contact problem with Coulomb friction.

Suggested Citation

  • Helmut Gfrerer & Michael Mandlmayr & Jiří V. Outrata & Jan Valdman, 2023. "On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction," Computational Optimization and Applications, Springer, vol. 86(3), pages 1159-1191, December.
    • Handle: RePEc:spr:coopap:v:86:y:2023:i:3:d:10.1007_s10589-022-00429-0
    DOI: 10.1007/s10589-022-00429-0
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    References listed on IDEAS

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    1. Čermák, M. & Sysala, S. & Valdman, J., 2019. "Efficient and flexible MATLAB implementation of 2D and 3D elastoplastic problems," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 595-614.
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