Speaker: Chen Yanping, distinguished professor of Pearl River Scholars in higher Education Institutions of Guangdong Province

Date: May 24, 2023

Time: 14:00

Location: Zhixin Building, Block B, 924

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk, we study an optimal control problem with point values of the state in the objective functional. The state and adjoint state are approximated by a hybridized discontinuous Galerkin (HDG) method, and the control is discretized by the variational discretization concept. With the help of the error estimates of Green’s function and Oswald interpolation, reliable and efficient a posteriori error estimates for the errors in the control, state and adjoint state variables are obtained. Several numerical examples are provided to show the performance of the obtained a posteriori error estimators.

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https://www.view.sdu.edu.cn/info/1020/179960.htm