A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations |
| |
| Authors: | Ningning Yan Zhaojie Zhou |
| |
| Institution: | (1) State Key Laboratory of Scientific and Engineering Computing, Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100190, China |
| |
| Abstract: | In this paper, we study a posteriori error estimates of the edge stabilization Galerkin method for the constrained optimal
control problem governed by convection-dominated diffusion equations. The residual-type a posteriori error estimators yield
both upper and lower bounds for control u measured in L
2-norm and for state y and costate p measured in energy norm. Two numerical examples are presented to illustrate the effectiveness of the error estimators provided
in this paper.
|
| |
| Keywords: | Constrained optimal control problem convection dominated diffusion equation edge stabilization Galerkin method a posteriori error estimate |
| 本文献已被 万方数据 SpringerLink 等数据库收录！ |
