A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems

DOI10.1137/100809611zbMath1234.49030OpenAlexW2083310254MaRDI QIDQ3115887

Dominik Meidner, Boris Vexler

Publication date: 11 February 2012

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100809611

zbMATH Keywords

optimal controlheat equationerror estimatesfinite elementsCrank-Nicolson schemecontrol constraints

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Numerical methods based on necessary conditions (49M05) Initial-boundary value problems for second-order parabolic equations (35K20) 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) Discrete approximations in optimal control (49M25)

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