Multigrid methods for an elliptic optimal control problem with pointwise state constraints

Autor: Susanne C. Brenner, Sijing Liu, Li-yeng Sung
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Results in Applied Mathematics, Vol 17, Iss , Pp 100356- (2023)
Druh dokumentu: article
ISSN: 2590-0374
DOI: 10.1016/j.rinam.2023.100356
Popis: We design multigrid methods for an elliptic distributed optimal control problem with pointwise state constraints. They are based on the P1 finite element method from Brenner et al. (2021), where the optimal control problem was reformulated as a variational inequality for the state variable. The performance of the multigrid methods is illustrated by numerical experiments.
Databáze: Directory of Open Access Journals