A priorierror estimates for a state-constrained elliptic optimal control problem

DOI10.1051/m2an/2011076zbMath1271.65104OpenAlexW2034750823MaRDI QIDQ2838578

Simeon Steinig, Arnd Rösch

Publication date: 10 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2011076

zbMATH Keywords

finite elementsconvergence ratea priori error estimatesstate constrainedelliptic control problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

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Error Estimates for Approximate Solutions to Seminlinear Elliptic Optimal Control Problems with Nonlinear and Mixed Constraints ⋮ Residual-based a posteriori error estimates for the \(hp\) version of the finite element discretization of the elliptic Robin boundary control problem ⋮ FEM for semilinear elliptic optimal control with nonlinear and mixed constraints ⋮ Convergence Analysis of Discontinuous Finite Volume Methods for Elliptic Optimal Control Problems ⋮ Extended finite element methods for optimal control problems governed by Poisson equation in non-convex domains ⋮ Error estimates for integral constraint regularization of state-constrained elliptic control problems ⋮ Galerkin spectral approximation of optimal control problems with \(L^2\)-norm control constraint ⋮ Post-processing procedures for an elliptic distributed optimal control problem with pointwise state constraints ⋮ Dirichlet control of elliptic state constrained problems

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