A Globalized Semi-smooth Newton Method for Variational Discretization of Control Constrained Elliptic Optimal Control Problems

DOI10.1007/978-3-0348-0133-1_9zbMath1356.49043OpenAlexW2184234401MaRDI QIDQ2961058

Morten Vierling, Michael Hinze

Publication date: 17 February 2017

Full work available at URL: https://doi.org/10.1007/978-3-0348-0133-1_9

zbMATH Keywords

error estimatescontrol constraintssemi-smooth Newton methodvariational discretizationelliptic optimal control problemprimal-dual active set strategy

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

Line search globalization of a semismooth Newton method for operator equations in Hilbert spaces with applications in optimal control ⋮ Robust error estimates for the finite element approximation of elliptic optimal control problems ⋮ Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients

Cites Work

• A mesh-independence result for semismooth Newton methods.
• POD a-posteriori error estimates for linear-quadratic optimal control problems
• A variational discretization concept in control constrained optimization: The linear-quadratic case
• Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
• Semismooth Newton Methods for Operator Equations in Function Spaces
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Unnamed Item

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