A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems
DOI10.1007/978-3-0348-0133-1_23zbMath1356.49050OpenAlexW2050357739MaRDI QIDQ2961078
Publication date: 17 February 2017
Published in: International Series of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-0348-0133-1_23
optimal controlstate constraintserror estimatesfinite elementsparabolic equationsdiscretization errorcontrol constraints
Numerical methods involving duality (49M29) Numerical methods based on necessary conditions (49M05) Newton-type methods (49M15) Initial-boundary value problems for second-order parabolic equations (35K20) Linear-quadratic optimal control problems (49N10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
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