Error estimates of finite volume method for Stokes optimal control problem

被引：2

作者：

Lan, Lin ^{[1
]}

Chen, Ri-hui ^{[1
]}

Wang, Xiao-dong ^{[1
]}

Ma, Chen-xia ^{[1
]}

Fu, Hao-nan ^{[1
]}

机构：

[1] Kunming Univ Sci & Technol, Fac Land Resources Engn, Kunming 650093, Yunnan, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

关键词：

Optimal control problem; Stokes equations; Finite volume method; A priori error estimates; Variational discretization; 49J20; 65N30; UNIFIED ANALYSIS; ELEMENT METHODS; APPROXIMATION; OPTIMIZATION;

D O I：

10.1186/s13660-020-02532-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss a priori error estimates for the finite volume element approximation of optimal control problem governed by Stokes equations. Under some reasonable assumptions, we obtain optimal L2-norm error estimates. The approximate orders for the state, costate, and control variables are O(h2) in the sense of L2-norm. Furthermore, we derive H1-norm error estimates for the state and costate variables. Finally, we give some conclusions and future works.

引用

页数：13

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