A Priori Error Estimates for Optimal Control Problems with Constraints on the Gradient of the State on Nonsmooth Polygonal Domains

DOI10.1007/978-3-0348-0631-2_11zbMath1272.49054OpenAlexW2182438159MaRDI QIDQ2849381

Winnifried Wollner

Publication date: 17 September 2013

Published in: Control and Optimization with PDE Constraints (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0631-2_11

zbMATH Keywords

optimizationfinite elementsnonconvex polygonal domainPDEspointwise gradient state constraintsa-priori error estimates

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)

Related Items (3)

$C^0$ Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints ⋮ Quasi-best approximation in optimization with PDE constraints ⋮ A Priori Error Estimates for a Finite Element Discretization of Parabolic Optimization Problems with Pointwise Constraints in Time on Mean Values of the Gradient of the State

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