Adaptive Multilevel Inexact SQP-Methods for PDE-Constrained Optimization with Control Constraints

DOI10.1137/110848645zbMath1272.49055OpenAlexW1994032480MaRDI QIDQ2848194

Jan Carsten Ziems

Publication date: 25 September 2013

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110848645

zbMATH Keywords

optimal controlfinite elementsmesh adaptationcontrol constraintstrust-region methodsPDE constraintsa-posteriori error estimatorinexact linear system solverscriticality measure

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Nonlinear programming (90C30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Discrete approximations in optimal control (49M25) Methods of successive quadratic programming type (90C55)

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