Mesh-independent convergence of penalty methods applied to optimal control with partial differential equations

DOI10.1080/02331934.2012.655693zbMath1310.90105OpenAlexW2022921272MaRDI QIDQ2841148

Max Winkler, Christian Grossmann

Publication date: 24 July 2013

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2012.655693

zbMATH Keywords

optimal controlfinite element discretizationpartial differential equationsorder of convergencemesh-independencequadratic penalties

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Newton-type methods (49M15)

Cites Work

• Unnamed Item
• Penalty algorithms in Hilbert spaces
• Error estimates for the regularization of optimal control problems with pointwise control and state constraints
• A variational discretization concept in control constrained optimization: The linear-quadratic case
• Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
• A Comparison of a Moreau--Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems
• The smoothed-penalty algorithm for state constrained optimal control problems for partial differential equations
• General primal-dual penalty/barrier path-following Newton methods for nonlinear programming
• Semismooth Newton Methods for Operator Equations in Function Spaces
• A general class of penalty/barrier path-following Newton methods for nonlinear programming

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