Error estimates for the approximation of the velocity tracking problem with Bang-Bang controls

DOI10.1051/cocv/2016054zbMath1388.49003OpenAlexW2510311095MaRDI QIDQ4594361

Konstantinos Chrysafinos, Eduardo Casas

Publication date: 23 November 2017

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10902/12096

zbMATH Keywords

optimal controla-priori error estimatesbang-bang controlsevolution Navier-Stokes equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Discrete approximations in optimal control (49M25)

Related Items (7)

Second-order optimality conditions for weak and strong local solutions of parabolic optimal control problems ⋮ Stability in Affine Optimal Control Problems Constrained by Semilinear Elliptic Partial Differential Equations ⋮ A Review of Numerical Analysis for the Discretization of the Velocity Tracking Problem ⋮ Analysis and approximations of an optimal control problem for the Allen-Cahn equation ⋮ Discontinuous Galerkin approximations for an optimal control problem of three-dimensional Navier-Stokes-Voigt equations ⋮ Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term ⋮ Optimal Control of the Two-Dimensional Evolutionary Navier--Stokes Equations with Measure Valued Controls

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