Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem

DOI10.1515/jnum-2013-0011zbMath1284.65078OpenAlexW2051527745MaRDI QIDQ5747003

Ulrich Langer, Monika Wolfmayr

Publication date: 11 February 2014

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnum-2013-0011

zbMATH Keywords

finite elementsFourier seriespreconditionernumerical experimentminimal residual methodparabolic optimal control problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (13)

Wavelet-In-Time Multigrid-In-Space Preconditioning of Parabolic Evolution Equations ⋮ On the robustness and optimality of algebraic multilevel methods for reaction-diffusion type problems ⋮ Guaranteed lower bounds for cost functionals of time-periodic parabolic optimization problems ⋮ Functional A Posteriori Error Estimates for Time-Periodic Parabolic Optimal Control Problems ⋮ Inner product free iterative solution and elimination methods for linear systems of a three-by-three block matrix form ⋮ A note on functional a posteriori estimates for elliptic optimal control problems ⋮ Robust preconditioning techniques for multiharmonic finite element method with application to time-periodic parabolic optimal control problems ⋮ Coercive space-time finite element methods for initial boundary value problems ⋮ A robust structured preconditioner for time-harmonic parabolic optimal control problems ⋮ PARALLEL SOLUTION METHODS AND PRECONDITIONERS FOR EVOLUTION EQUATIONS ⋮ Efficient Solvers for Time-Periodic Parabolic Optimal Control Problems Using Two-Sided Bounds of Cost Functionals ⋮ Parallel and Robust Preconditioning for Space-Time Isogeometric Analysis of Parabolic Evolution Problems ⋮ Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems

This page was built for publication: Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem