A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations

DOI10.1007/s10589-013-9601-4zbMath1301.49072OpenAlexW2066957815MaRDI QIDQ404524

Bülent Karasözen, Hamdullah Yücel, Tuğba Akman

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1007/s10589-013-9601-4

zbMATH Keywords

optimal controldiscontinuous Galerkin methodsa priori error estimatesunsteady convection diffusion equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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 (9)

Optimal control of convective FitzHugh-Nagumo equation ⋮ Stochastic discontinuous Galerkin methods for robust deterministic control of convection-diffusion equations with uncertain coefficients ⋮ Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations ⋮ Variational time discretization methods for optimal control problems governed by diffusion-convection-reaction equations ⋮ Reduced order optimal control of the convective FitzHugh-Nagumo equations ⋮ Space-Time Discontinuous Galerkin Methods for Optimal Control Problems Governed by Time Dependent Diffusion-Convection-Reaction Equations ⋮ Fourier Finite Volume Element Method for Two Classes of Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domain ⋮ A stabilized finite element method for the convection dominated diffusion optimal control problem ⋮ Reduced Order Optimal Control Using Proper Orthogonal Decomposition Sensitivities

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