A posteriori error control of a state constrained elliptic control problem

DOI10.1515/JNUM.2008.014zbMath1161.65049OpenAlexW2036884139MaRDI QIDQ3612024

Michael Hinze, Andreas Günther

Publication date: 3 March 2009

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnum.2008.014

zbMATH Keywords

state constraintsnumerical examplesfinite elementgoal-oriented adaptivitya posteriori error controlelliptic optimal control problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

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Cites Work

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• A Comparison of a Moreau--Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems
• Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
• Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints
• A posteriori error estimates for distributed convex optimal control problems