A rational deferred correction approach to parabolic optimal control problems

DOI10.1093/imanum/drx046zbMath1462.65160OpenAlexW2734345318MaRDI QIDQ4555991

Stefan Güttel, John W. Pearson

Publication date: 23 November 2018

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://kar.kent.ac.uk/54209/1/dccontrol.pdf

zbMATH Keywords

coupled systemdeferred correctionPDE-constrained optimizationtime-dependent PDE

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) PDE constrained optimization (numerical aspects) (49M41)

Related Items (5)

A constructive method for parabolic equations with opposite orientations arising in optimal control ⋮ Preconditioners for Krylov subspace methods: An overview ⋮ Robust preconditioning techniques for multiharmonic finite element method with application to time-periodic parabolic optimal control problems ⋮ An Efficient Parallel-in-Time Method for Optimization with Parabolic PDEs ⋮ Preconditioned iterative method for boundary value method discretizations of a parabolic optimal control problem

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