Error estimates of finite volume method for Stokes optimal control problem

Abstract 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 L 2 $L^{2}$ -norm error estimates. The approximate orders for the state, costate, and...

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Bibliographic Details
Main Authors: Lin Lan, Ri-hui Chen, Xiao-dong Wang, Chen-xia Ma, Hao-nan Fu
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-020-02532-4