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

DOI10.1137/140961778zbMath1319.49044OpenAlexW2079863896MaRDI QIDQ5252495

Winnifried Wollner, Francesco Ludovici

Publication date: 2 June 2015

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8b0059e985587cc5d6c9428977f36946bcde25a6

zbMATH Keywords

finite element discretizationa priori error estimatesparabolic optimization problemsgradient state constraints

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Discrete approximations in optimal control (49M25)

Related Items (5)

Optimal Control of Quasilinear Parabolic PDEs with State-Constraints ⋮ A priori error estimates for state-constrained semilinear parabolic optimal control problems ⋮ Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems ⋮ A-Posteriori Error Estimation of Discrete POD Models for PDE-Constrained Optimal Control ⋮ Finite element approximations of impulsive optimal control problems for heat equations

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