Certified Reduced Basis Methods for Parametrized Distributed Elliptic Optimal Control Problems with Control Constraints

DOI10.1137/16M1059898zbMath1426.49029OpenAlexW2561770886WikidataQ118178335 ScholiaQ118178335MaRDI QIDQ2954478

Martin A. Grepl, Mark Kärcher, Eduard Bader, Karen Veroy

Publication date: 13 January 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1059898

zbMATH Keywords

optimal controlelliptic problemsreduced basis methodpartial differential equationsa posteriori error estimationcontrol constraintsmodel order reductionparameter-dependent systems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Control/observation systems governed by partial differential equations (93C20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)

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Uses Software

• redbKIT

Cites Work

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