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

Helmut Gfrerer (), Michael Mandlmayr (), Jiří V. Outrata () and Jan Valdman ()
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Helmut Gfrerer: Johannes Kepler University Linz
Michael Mandlmayr: Johannes Kepler University Linz
Jiří V. Outrata: Czech Academy of Sciences
Jan Valdman: Czech Academy of Sciences

Computational Optimization and Applications, 2023, vol. 86, issue 3, No 12, 1159-1191

Abstract: 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.

Keywords: Newton method; semismoothness $${}^*$$ ∗; Subspace containing derivative; Generalized equation; Signorini problem with Coulomb friction (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10589-022-00429-0

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