A Posteriori Error Representations for Elliptic Optimal Control Problems with Control and State Constraints

DOI10.1007/978-3-0348-0133-1_17zbMath1356.49056OpenAlexW85146601MaRDI QIDQ2961072

Moulay Hicham Tber, Michael Hinze, Andreas Günther

Publication date: 17 February 2017

Published in: International Series of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0133-1_17

zbMATH Keywords

state constraintserror estimatesgoal-oriented adaptivitycontrol constraintselliptic optimal control problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (6)

An adaptive numerical method for semi-infinite elliptic control problems based on error estimates ⋮ Model Reduction by Adaptive Discretization in Optimal Control ⋮ Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations ⋮ Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations ⋮ Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation ⋮ A painless multi-level automatic goal-oriented \(hp\)-adaptive coarsening strategy for elliptic and non-elliptic problems

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