Tools
Tools
Li, H, Ding, M, Luo, X and Xiang, S (2024) Convergence analysis of finite element approximations for a nonlinear second order hyperbolic optimal control problems. Networks and Heterogeneous Media (NHM), 19 (2). pp. 842-866. ISSN 1556-1801
|
Text
Convergence analysis of finite element approximations for a nonlinear second order hyperbolic optimal control problems.pdf - Published Version Available under License Creative Commons Attribution. Download (492kB) | Preview |
Abstract
This paper focused on approximating a second-order nonlinear hyperbolic optimal control problem. By introducing a new variable, the hyperbolic equation was converted into two parabolic equations. A second-order fully discrete scheme was obtained by combining the Crank-Nicolson formula with the finite element method. The error estimation for this scheme was derived utilizing the second-order sufficient optimality condition and auxiliary problems. To validate the effectiveness of the fully discrete scheme, a numerical example was presented.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | a priori error estimates; finite element method; optimal control; second order hyperbolic equation; second order hyperbolic equation; optimal control; finite element method; a priori error estimates; 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; Applied Mathematics |
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) |
| Divisions: | Engineering |
| Publisher: | American Institute of Mathematical Sciences (AIMS) |
| SWORD Depositor: | A Symplectic |
| Date Deposited: | 09 Oct 2024 13:49 |
| Last Modified: | 09 Oct 2024 14:00 |
| DOI or ID number: | 10.3934/nhm.2024038 |
| URI: | https://researchonline.ljmu.ac.uk/id/eprint/24484 |
 |
View Item |