Dirichlet control of elliptic state constrained problems

DOI10.1007/s10589-015-9784-yzbMath1343.49045OpenAlexW1187976630MaRDI QIDQ263168

Ira Neitzel, Mariano Mateos

Publication date: 4 April 2016

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

Full work available at URL: https://doi.org/10.1007/s10589-015-9784-y

zbMATH Keywords

state constraintsfinite elementsoptimality conditionsa-priori error estimatesDirichlet optimal control problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Error bounds for boundary value problems involving PDEs (65N15) 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 (10)

Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space ⋮ Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes ⋮ A finite element method for elliptic Dirichlet boundary control problems ⋮ Optimization methods for Dirichlet control problems ⋮ Two fast finite difference schemes for elliptic Dirichlet boundary control problems ⋮ A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs ⋮ Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization ⋮ An HDG Method for Dirichlet Boundary Control of Convection Dominated Diffusion PDEs ⋮ Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system ⋮ A class of embedded DG methods for Dirichlet boundary control of convection diffusion PDEs

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