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

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 perf...

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Bibliographic Details
Main Authors: Susanne C. Brenner, Sijing Liu, Li-yeng Sung
Format: Article
Language:English
Published: Elsevier 2023-02-01
Series:Results in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S259003742300002X