Variational time discretization methods for optimal control problems governed by diffusion-convection-reaction equations

DOI10.1016/j.cam.2014.05.002zbMath1293.49065OpenAlexW2000037083MaRDI QIDQ2253060

Tuğba Akman, Bülent Karasözen

Publication date: 25 July 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.05.002

zbMATH Keywords

a priori error estimatesoptimal control problemsvariational time discretizationunsteady diffusion-convection-reaction equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Linear-quadratic optimal control problems (49N10) 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

Optimal control of convective FitzHugh-Nagumo equation ⋮ Commutative properties for conservative space-time DG discretizations of optimal control problems involving the viscous Burgers equation ⋮ Error estimates for space–time discontinuous Galerkin formulation based on proper orthogonal decomposition ⋮ Optimal control problem of the two-dimensional modified anomalous subdiffusion equation with discontinuous Galerkin approximation ⋮ Minimizing control variation in discrete-time optimal control problems ⋮ Reduced order optimal control of the convective FitzHugh-Nagumo equations ⋮ Local improvements to reduced-order approximations of optimal control problems governed by diffusion-convection-reaction equation

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