On an augmented Lagrangian SQP method for a class of optimal control problems in Banach spaces

DOI10.1023/A:1019763022415zbMath1039.90094OpenAlexW122965503MaRDI QIDQ1812094

Fredi Tröltzsch, Jean-Pierre Raymond, Nadir Arada

Publication date: 18 June 2003

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019763022415

zbMATH Keywords

optimal controlsemilinear parabolic equationgeneralized Newton methodcontrol constraintsgeneralized equationaugmented Lagrangian SQP method in Banach spacestwo-norm discrepancy

Mathematics Subject Classification ID

Methods of quasi-Newton type (90C53) Numerical methods based on nonlinear programming (49M37) Programming in abstract spaces (90C48) Methods of successive quadratic programming type (90C55)

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On convergence of a receding horizon method for parabolic boundary control ⋮ BDF2 schemes for optimal parameter control problems governed by bilinear parabolic equations ⋮ A Stabilized Sequential Quadratic Programming Method for Optimization Problems in Function Spaces ⋮ A Chebyshev technique for the solution of optimal control problems with nonlinear programming methods ⋮ On the optimal control problem for the Novikov equation with strong viscosity ⋮ Sufficient second-order optimality conditions for convex control constraints ⋮ Error estimates for linear-quadratic control problems with control constraints ⋮ Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations

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