Newton–Picard-Based Preconditioning for Linear-Quadratic Optimization Problems with Time-Periodic Parabolic PDE Constraints

DOI10.1137/100807776zbMath1266.65104OpenAlexW1971937117MaRDI QIDQ2904832

Hans Georg Bock, Mario S. Mommer, Andreas Potschka, Johannes P. Schlöder

Publication date: 23 August 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100807776

zbMATH Keywords

convergence numerical results periodic boundary condition parabolic partial differential equation linear-quadratic optimization problems linear iterative splitting method Newton-Picard preconditioners

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving partial differential equations (49J20) Preconditioners for iterative methods (65F08)

Related Items (9)

A preconditioner for optimal control problems, constrained by Stokes equation with a time-harmonic control ⋮ Newton--Picard Preconditioners for Time-Periodic Parabolic Optimal Control Problems ⋮ Preconditioning for PDE-constrained optimization with total variation regularization ⋮ Real-Time PDE Constrained Optimal Control of a Periodic Multicomponent Separation Process ⋮ On the solution of the distributed optimal control problem with time‐periodic parabolic equations ⋮ A sequential homotopy method for mathematical programming problems ⋮ An averaging scheme for the efficient approximation of time-periodic flow problems ⋮ Direct Multiple Shooting for Parabolic PDE Constrained Optimization ⋮ Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems

Uses Software

MATLAB ODE suite

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