Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints

DOI10.1007/s10589-013-9537-8zbMath1272.49049OpenAlexW2118016404MaRDI QIDQ2393648

Dmitriy Leykekhman, Boris Vexler, Dominik Meidner

Publication date: 8 August 2013

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

Full work available at URL: https://doi.org/10.1007/s10589-013-9537-8

zbMATH Keywords

state constraintserror estimatesfinite elementselliptic optimal control problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (12)

Local error analysis for the Stokes equations with a punctual source term ⋮ Error estimates for halfspace regularization of state constrained multiobjective elliptic control problems ⋮ Adaptive finite element methods for an optimal control problem involving Dirac measures ⋮ A priori error estimates for state-constrained semilinear parabolic optimal control problems ⋮ Local error estimates of the finite element method for an elliptic problem with a Dirac source term ⋮ A priori \(L^2\)-discretization error estimates for the state in elliptic optimization problems with pointwise inequality state constraints ⋮ Error estimates for integral constraint regularization of state-constrained elliptic control problems ⋮ A posteriori error estimates for sequential laminates in shape optimization ⋮ A posteriori error estimates of \(hp\) spectral element methods for optimal control problems with \(L^2\)-norm state constraint ⋮ A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control ⋮ The $W^1_p$ stability of the Ritz projection on graded meshes ⋮ Dirichlet control of elliptic state constrained problems

Uses Software

• RoDoBo
• GASCOIGNE

Cites Work

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