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

0569933 - ÚTIA 2024 RIV US eng J - Journal Article
Gfrerer, H. - Mandlmayr, M. - Outrata, Jiří - Valdman, Jan
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. Roč. 86, č. 3 (2023), s. 1159-1191. ISSN 0926-6003. E-ISSN 1573-2894
R&D Projects: GA ČR(CZ) GA22-15524S; GA ČR GF21-06569K; GA MŠMT 8J21AT001
Institutional support: RVO:67985556
Keywords : Newton method * semismoothness* * Subspace containing derivative * Generalized equation * Signorini problem with Coulomb friction
OECD category: Pure mathematics
Impact factor: 2.2, year: 2022
Method of publishing: Open access
http://library.utia.cas.cz/separaty/2023/MTR/valdman-0569933.pdf https://link.springer.com/article/10.1007/s10589-022-00429-0

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.
Permanent Link: https://hdl.handle.net/11104/0347209