Finite element method for an optimal control problem governed by a time fractional wave equation

被引：0
|
作者：
Wang, Shuo [1 ]
Zheng, Xiangcheng [1 ]
Du, Ning [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2024年 / 164卷
基金：
国家重点研发计划; 中国国家自然科学基金;
关键词：
Optimal control problem; Time fractional wave equation; Finite element method; A priori error estimate; Numerical experiments; DIFFUSION; SUBDIFFUSION; APPROXIMATIONS;
D O I：
10.1016/j.camwa.2024.03.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a finite element approximation of an optimal control problem governed by a time fractional wave equation. We first prove the well-posedness and regularity of the optimal control problem. Furthermore, we discuss the fully discrete scheme and analyze its stability and a priori error estimate. Numerical experiments are given to illustrate the theoretical findings.
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页码：45 / 66
页数：22
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