A Meshfree Method for a PDE-Constrained Optimization Problem

2021 ◽  
Vol 59 (4) ◽  
pp. 1896-1917
Author(s):  
Daniel Hoff ◽  
Holger Wendland
2016 ◽  
Vol 19 (1) ◽  
pp. 143-167 ◽  
Author(s):  
Andrew T. Barker ◽  
Tyrone Rees ◽  
Martin Stoll

AbstractIn this paper we consider PDE-constrained optimization problems which incorporate anH1regularization control term. We focus on a time-dependent PDE, and consider both distributed and boundary control. The problems we consider include bound constraints on the state, and we use a Moreau-Yosida penalty function to handle this. We propose Krylov solvers and Schur complement preconditioning strategies for the different problems and illustrate their performance with numerical examples.


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