Semidiscrete approximations of optimal Robin boundary control problems constrained by semilinear parabolic PDE

DOI10.1016/j.jmaa.2005.10.053zbMath1259.49045OpenAlexW2101336232MaRDI QIDQ855408

N. E. Zubov

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.10.053

zbMATH Keywords

finite element methodsparabolic equationsRobin boundary control

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (14)

Convergence of simultaneous distributed-boundary parabolic optimal control problems ⋮ Numerical identification of a Robin coefficient in parabolic problems ⋮ Analysis and finite element approximations for distributed optimal control problems for implicit parabolic equations ⋮ On Regularization of a Source Identification Problem in a Parabolic PDE and its Finite Dimensional Analysis ⋮ Trajectory Tracking and Vibration Suppression for General Spatial Motion of a Flexible Plate via Two-time Scale and Boundary Control Methods ⋮ Asymptotic stabilization of vibrating composite plates ⋮ Numerical optimization of the Dirichlet boundary condition in the phase field model with an application to pure substance solidification ⋮ Simultaneous identification of convection velocity and source strength in a convection–diffusion equation ⋮ Superconvergence for general convex optimal control problems governed by semilinear parabolic equations ⋮ LP modelling for the time optimal control problem of the heat equation ⋮ Convergence of discontinuous Galerkin approximations of an optimal control problem associated to semilinear parabolic PDE's ⋮ A linear regularization method for a parameter identification problem in heat equation ⋮ Parabolic optimal control problems with a quintic B-spline dynamic model ⋮ Simultaneous reconstruction of the time-dependent Robin coefficient and heat flux in heat conduction problems

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