Finite Element Approximations of Parabolic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold
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Publication:2801785
DOI10.1137/151004744zbMath1343.49044OpenAlexW2337094102MaRDI QIDQ2801785
Publication date: 22 April 2016
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/3038bd0cb8bb26eabc6b0c4b43c34471e2669a32
finite element methodparabolic equationoptimal control problemfully discrete error estimatesmoving manifold
Optimality conditions for problems involving partial differential equations (49K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
Related Items (9)
Semidiscrete finite element approximation of time optimal control problems for semilinear heat equations with nonsmooth initial data ⋮ Discontinuous Galerkin approximations to elliptic and parabolic problems with a Dirac line source ⋮ A splitting algorithm for constrained optimization problems with parabolic equations ⋮ A posteriori error estimates for parabolic optimal control problems with controls acting on lower dimensional manifolds ⋮ An Alternating Direction Method of Multipliers for the Optimization Problem Constrained with a Stationary Maxwell System ⋮ Optimal control for electromagnetic cloaking metamaterial parameters design ⋮ Adaptive finite element method for parabolic equations with Dirac measure ⋮ Finite element approximations of impulsive optimal control problems for heat equations ⋮ Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations
Uses Software
Cites Work
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