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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
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SYSNO ASEP 0569933 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction Author(s) Gfrerer, H. (AT)
Mandlmayr, M. (AT)
Outrata, Jiří (UTIA-B) RID, ORCID
Valdman, Jan (UTIA-B) RID, ORCIDSource Title Computational Optimization and Applications. - : Springer - ISSN 0926-6003
Roč. 86, č. 3 (2023), s. 1159-1191Number of pages 33 s. Publication form Print - P Language eng - English Country US - United States Keywords Newton method ; semismoothness* ; Subspace containing derivative ; Generalized equation ; Signorini problem with Coulomb friction Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA22-15524S GA ČR - Czech Science Foundation (CSF) GF21-06569K GA ČR - Czech Science Foundation (CSF) 8J21AT001 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Open access Institutional support UTIA-B - RVO:67985556 UT WOS 000879681900001 EID SCOPUS 85141479391 DOI 10.1007/s10589-022-00429-0 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2024 Electronic address https://link.springer.com/article/10.1007/s10589-022-00429-0
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