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

被引：1

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：

中国国家自然科学基金; 国家重点研发计划;

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.

引用

页码：45 / 66

页数：22

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