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

In the paper, a variant of the semismooth[Formula: see text] 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 (lo...

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Autores principales: Gfrerer, Helmut, Mandlmayr, Michael, Outrata, Jiří V., Valdman, Jan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10643369/
https://www.ncbi.nlm.nih.gov/pubmed/37969871
http://dx.doi.org/10.1007/s10589-022-00429-0
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author Gfrerer, Helmut
Mandlmayr, Michael
Outrata, Jiří V.
Valdman, Jan
author_facet Gfrerer, Helmut
Mandlmayr, Michael
Outrata, Jiří V.
Valdman, Jan
author_sort Gfrerer, Helmut
collection PubMed
description In the paper, a variant of the semismooth[Formula: see text] 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.
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spelling pubmed-106433692023-11-14 On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction Gfrerer, Helmut Mandlmayr, Michael Outrata, Jiří V. Valdman, Jan Comput Optim Appl Article In the paper, a variant of the semismooth[Formula: see text] 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. Springer US 2022-11-07 2023 /pmc/articles/PMC10643369/ /pubmed/37969871 http://dx.doi.org/10.1007/s10589-022-00429-0 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Gfrerer, Helmut
Mandlmayr, Michael
Outrata, Jiří V.
Valdman, Jan
On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction
title On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction
title_full On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction
title_fullStr On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction
title_full_unstemmed On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction
title_short On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction
title_sort on the scd semismooth* newton method for generalized equations with application to a class of static contact problems with coulomb friction
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10643369/
https://www.ncbi.nlm.nih.gov/pubmed/37969871
http://dx.doi.org/10.1007/s10589-022-00429-0
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