Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems

DOI10.1080/01630563.2016.1200077zbMath1377.49029arXiv1511.05699OpenAlexW2287623205WikidataQ109297124 ScholiaQ109297124MaRDI QIDQ2964190

Ulrich Langer, Monika Wolfmayr, Sergey I. Repin

Publication date: 23 February 2017

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05699

zbMATH Keywords

functional a posteriori error estimatesmultiharmonic finite element methodsparabolic time-periodic optimal control problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Discrete approximations in optimal control (49M25)

Related Items (8)

Guaranteed lower bounds for cost functionals of time-periodic parabolic optimization problems ⋮ Error analysis for finite element approximation of parabolic Neumann boundary control problems ⋮ Efficient Solvers for Time-Periodic Parabolic Optimal Control Problems Using Two-Sided Bounds of Cost Functionals ⋮ A posteriori \(L^\infty(L^\infty)\)-error estimates for finite-element approximations to parabolic optimal control problems ⋮ Space-Time Finite Element Discretization of Parabolic Optimal Control Problems with Energy Regularization ⋮ Unstructured Space-Time Finite Element Methods for Optimal Control of Parabolic Equations ⋮ Local a posteriori error analysis of finite element method for parabolic boundary control problems ⋮ Local a posteriori error estimates for boundary control problems governed by nonlinear parabolic equations

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