A diagonal finite element-projection-proximal gradient algorithm for elliptic optimal control problem
点击次数：
DOI码：10.1016/j.camwa.2023.08.015
发表刊物：Computers & Mathematics with Applications
关键字：optimal control problem; finite element method; proximal gradient algorithm; accelerated method; convergence analysis
摘要：A diagonal finite element-projection-proximal gradient (DFE-P-PG) algorithm and its accelerated forms for elliptic optimal control problem with $L^1$-control cost are proposed in this paper. Firstly, the elliptic optimal control problem is discretized by diagonal finite element method (DFEM). Then the discrete problem is optimized by projection-proximal gradient (P-PG) algorithm. The global convergence of DFE-P-PG algorithm is proven. In addition, two accelerated methods are used to enhance the convergence rate of DFE-P-PG algorithm. Numerical examples are performed to illustrate the efficiency and effectiveness of DFE-P-PG algorithm.
第一作者：Jitong Lin
论文类型：期刊论文
通讯作者：Xuesong Chen
卷号：148:
页面范围：256-268
是否译文：否
发表时间：2023-09-05
收录刊物：SCI
发布期刊链接：https://authors.elsevier.com/a/1hiMG3CDPQ6qQ8
附件：