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

被引：3

作者：

Gfrerer, Helmut ^{[1
]}

Mandlmayr, Michael ^{[1
]}

Outrata, Jiri, V ^{[2
,3
]}

Valdman, Jan ^{[2
,4
]}

机构：

[1] Johannes Kepler Univ Linz, Inst Computat Math, A-4040 Linz, Austria

[2] Czech Acad Sci, Inst Informat Theory & Automat, Prague 18208, Czech Republic

[3] Federat Univ Australia, Ctr Informat & Appl Optimizat, POB 663, Ballarat, Vic 3350, Australia

[4] Czech Tech Univ, Fac Informat Technol, Dept Appl Math, Thakurova 9, Prague 16000, Czech Republic

来源：

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS | 2023年 / 86卷 / 03期

基金：

奥地利科学基金会;

关键词：

Newton method; semismoothness*; Subspace containing derivative; Generalized equation; Signorini problem with Coulomb friction; SHAPE OPTIMIZATION; CRITERION;

D O I：

10.1007/s10589-022-00429-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

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.

引用

页码：1159 / 1191

页数：33

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