Line search globalization of a semismooth Newton method for operator equations in Hilbert spaces with applications in optimal control

DOI10.3934/jimo.2016003zbMath1368.49005OpenAlexW2314378725MaRDI QIDQ2358469

Sven-Joachim Kimmerle, Stefan Horn, Matthias Gerdts

Publication date: 15 June 2017

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2016003

zbMATH Keywords

state constraintssuperlinear convergencecontrol constraintssemismooth Newton methodline search globalizationoptimal control of partial differential equations

Mathematics Subject Classification ID

Derivative-free methods and methods using generalized derivatives (90C56) Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Nonsmooth analysis (49J52) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

A global convergent semi-smooth Newton method for semi-linear elliptic optimal control problem ⋮ Substructure exploitation of a nonsmooth Newton method for large-scale optimal control problems with full discretization ⋮ Efficient scalarization in multiobjective optimal control of a nonsmooth PDE

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