On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction
Numerical Analysis
2022-10-13 v2 Numerical Analysis
Abstract
In the paper, a variant of the \ssstar 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
Cite
@article{arxiv.2205.15129,
title = {On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction},
author = {H. Gfrerer and M. Mandlmayr and J. V. Outrata and J. Valdman},
journal= {arXiv preprint arXiv:2205.15129},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2112.08080