Smoothing quadratic regularization method for hemivariational inequalities

doi:10.1080/02331934.2020.1712393

CSpace

	Smoothing quadratic regularization method for hemivariational inequalities
	Zhang, Yanfang 1; Dai, Yu-Hong 2; Han, Weimin 3; Li, Zhibao 4
	2020-01-15
发表期刊	OPTIMIZATION
ISSN	0233-1934
页码	24
摘要	Hemivariational inequalities arise in nonsmooth mechanics of solid involving nonmonotone and multi-valued mechanical relations. Typically, after the finite-element discretization, they lead to constrained nonsmooth nonconvex optimization problems with objective functions being the sum of quadratic functions and nonsmooth terms. In this paper, smoothing approximations are employed to solve the constrained nonsmooth nonconvex optimization problems. After properties of the smoothing functions are analysed, a smoothing quadratic regularization algorithm is presented and studied. The proposed algorithm can be implemented efficiently since the closed form solution is available at each iteration. Convergence of the algorithm is shown, and the worst-case complexity is investigated for reaching an epsilon-Clarke stationary point. A numerical example is reported to show the performance of the proposed method.
关键词	Hemivariational inequality contact mechanics nonmonotone nonsmooth optimization problem smoothing quadratic regularization
DOI	10.1080/02331934.2020.1712393
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11601541] ; National Natural Science Foundation of China[11631013] ; National Natural Science Foundation of China[11701575] ; National Natural Science Foundation of China[11971372] ; National Natural Science Foundation of China[11991021] ; National 973 Program of China[2015CB856002]
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000507670600001
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50549
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Zhibao
作者单位	1.Minzu Univ China, Coll Sci, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing, Peoples R China 3.Univ Iowa, Dept Math, Program Appl Math & Computat Sci AMCS, Iowa City, IA 52242 USA 4.Cent S Univ, Sch Math & Stat, Changsha, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Yanfang,Dai, Yu-Hong,Han, Weimin,et al. Smoothing quadratic regularization method for hemivariational inequalities[J]. OPTIMIZATION,2020:24.
APA	Zhang, Yanfang,Dai, Yu-Hong,Han, Weimin,&Li, Zhibao.(2020).Smoothing quadratic regularization method for hemivariational inequalities.OPTIMIZATION,24.
MLA	Zhang, Yanfang,et al."Smoothing quadratic regularization method for hemivariational inequalities".OPTIMIZATION (2020):24.