A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods

Boundary Value Problems

Zhanwei Guo¹  Chunjuan Hou¹  Lianhong Guo¹ 

[1] grid.443372.5, Huashang College Guangdong University of Finance and Economics, Guangzhou, P.R. China;

关键词: A posteriori error estimates;    Optimal control problems;    Fourth order hyperbolic equations;    Mixed finite element methods;    49J20;    65N30;   

DOI  :  10.1186/s13661-019-1204-2

来源: publisher

【 摘 要 】

In this paper, we consider the a posteriori error estimates of the mixed finite element method for the optimal control problems governed by fourth order hyperbolic equations. The state is discretized by the order k Raviart–Thomas mixed elements and control is discretized by piecewise polynomials of degree k. We adopt the mixed elliptic reconstruction to derive the a posteriori error estimates for both the state and the control approximations.

【 授权许可】

CC BY