Indirect Multiple Shooting for Nonlinear Parabolic Optimal Control Problems with Control Constraints

DOI10.1137/120895809zbMath1294.49017OpenAlexW2092880289MaRDI QIDQ2874991

Michael Ernst Geiger, Thomas Carraro, Rolf Rannacher

Publication date: 13 August 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1074290527b13b273dd4d95c97a2dbc9604a1029

zbMATH Keywords

optimal controlfinite element methodcontrol constraintsnonlinear parabolic PDEmultiple shooting

Mathematics Subject Classification ID

Newton-type methods (49M15) Control/observation systems governed by partial differential equations (93C20) Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence theories for optimal control problems involving partial differential equations (49J20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Discrete approximations in optimal control (49M25)

Related Items (8)

Model Reduction by Adaptive Discretization in Optimal Control ⋮ A splitting algorithm for constrained optimization problems with parabolic equations ⋮ An SQP-based multiple shooting algorithm for large-scale PDE-constrained optimal control problems ⋮ On the smoothness of nonlinear system identification ⋮ A new multigrid method for unconstrained parabolic optimal control problems ⋮ Direct and Indirect Multiple Shooting for Parabolic Optimal Control Problems ⋮ Space-Time Discontinuous Galerkin Methods for Optimal Control Problems Governed by Time Dependent Diffusion-Convection-Reaction Equations ⋮ A Variational Approach for Physically Based Image Interpolation Across Boundaries

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