KMS Of Academy of mathematics and systems sciences, CAS
| Smoothing quadratic regularization method for hemivariational inequalities | |
| Zhang, Yanfang1; Dai, Yu-Hong2; Han, Weimin3; Li, Zhibao4 | |
| 2020-01-15 | |
| Source Publication | OPTIMIZATION
 |
| ISSN | 0233-1934 |
| Pages | 24 |
| Abstract | 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. |
| Keyword | Hemivariational inequality contact mechanics nonmonotone nonsmooth optimization problem smoothing quadratic regularization |
| DOI | 10.1080/02331934.2020.1712393 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Operations Research & Management Science ; Mathematics |
| WOS Subject | Operations Research & Management Science ; Mathematics, Applied |
| WOS ID | WOS:000507670600001 |
| Publisher | TAYLOR & FRANCIS LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/50549 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Li, Zhibao |
| Affiliation | 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 |
| Recommended Citation 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. |
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