Newton--Picard Preconditioners for Time-Periodic Parabolic Optimal Control Problems

DOI10.1137/140967969zbMath1377.49003OpenAlexW1682783036MaRDI QIDQ3192573

Andreas Potschka, Falk M. Hante, Mario S. Mommer

Publication date: 13 October 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140967969

zbMATH Keywords

periodic boundary conditionparabolic PDENewton-Picard iterationself-adjoint indefinite preconditioner

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Periodic solutions to PDEs (35B10) One-parameter semigroups and linear evolution equations (47D06) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (7)

An optimization framework for the computation of time-periodic solutions of partial differential equations ⋮ On the solution of the distributed optimal control problem with time‐periodic parabolic equations ⋮ Efficient Approximation of Flow Problems With Multiple Scales in Time ⋮ The Candy Wrapper Problem: A Temporal Multiscale Approach for PDE/PDE Systems ⋮ A sequential homotopy method for mathematical programming problems ⋮ An averaging scheme for the efficient approximation of time-periodic flow problems ⋮ Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems

Uses Software

• Trilinos
• MUSCOP
• MinRes

Cites Work

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