Smoothing quadratic regularization method for hemivariational inequalities
文献类型：期刊论文
| 作者 | Zhang, Yanfang1; Dai, Yu-Hong4; Han, Weimin3; Li, Zhibao2 |
| 刊名 | OPTIMIZATION
 |
| 出版日期 | 2020-01-15 |
| 页码 | 24 |
| 关键词 | Hemivariational inequality contact mechanics nonmonotone nonsmooth optimization problem smoothing quadratic regularization |
| ISSN号 | 0233-1934 |
| DOI | 10.1080/02331934.2020.1712393 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000507670600001 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50548]  |
| 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.Cent S Univ, Sch Math & Stat, Changsha, Peoples R China 3.Univ Iowa, Dept Math, Program Appl Math & Computat Sci AMCS, Iowa City, IA 52242 USA 4.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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