Bibliografie

Journal Article

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

Gfrerer H., Mandlmayr M., Outrata Jiří, Valdman Jan

: Computational Optimization and Applications vol.86, 3 (2023), p. 1159-1191

: GA22-15524S, GA ČR, GF21-06569K, GA ČR, 8J21AT001, GA MŠk

: Newton method, semismoothness*, Subspace containing derivative, Generalized equation, Signorini problem with Coulomb friction

: 10.1007/s10589-022-00429-0

: http://library.utia.cas.cz/separaty/2023/MTR/valdman-0569933.pdf

: https://link.springer.com/article/10.1007/s10589-022-00429-0

(eng): 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.

: BA

: 10101