Optimal control of elliptic PDEs at points

DOI10.1093/imanum/drv040zbMath1433.49041arXiv1411.4941OpenAlexW2222747544MaRDI QIDQ4684990

Charles M. Elliott, Charles Brett, Andreas Dedner

Publication date: 26 September 2018

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.4941

zbMATH Keywords

error estimatesfinite element methodelliptic optimal control problempoint evaluations

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)

Related Items (9)

Error Estimates for a Pointwise Tracking Optimal Control Problem of a Semilinear Elliptic Equation ⋮ Adaptive finite element methods for an optimal control problem involving Dirac measures ⋮ Error estimates of EDG-HDG methods for the Stokes equations with Dirac measures ⋮ \(C^0\) Interior penalty methods for an elliptic distributed optimal control problem with general tracking and pointwise state constraints ⋮ Error estimates for optimal control problems involving the Stokes system and Dirac measures ⋮ A posteriori error estimates for the Stokes problem with singular sources ⋮ Improved error estimates for optimal control of the Stokes problem with pointwise tracking in three dimensions ⋮ An Adaptive FEM for the Pointwise Tracking Optimal Control Problem of the Stokes Equations ⋮ Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations

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