Brezzi-Pitkaranta stabilization and a priori error analysis for the Stokes Control

An International Journal of Optimization and Control: Theories & Applications

article

Aytekin Cibik¹  Fikriye Yilmaz¹ 

[1] Gazi University

关键词: Finite element;    Brezzi-Pitkaranta stabilization;    optimal control;    Stokes equations;   

DOI  :  10.11121/ijocta.01.2017.00312

学科分类：地球科学(综合)

来源: Balikesir University

【 摘 要 】

In this study, we consider a Brezzi-Pitkaranta stabilization scheme for the optimal control problem governed by stationary Stokes equation, using a P1-P1 interpolation for velocity and pressure. We express the stabilization as extra terms added to the discrete variational form of the problem.  We first prove the stability of the finite element discretization of the problem. Then, we derive a priori error bounds for each variable and present a numerical example to show the effectiveness of the stabilization clearly.

【 授权许可】

CC BY