A novel multigrid method for elliptic distributed control problems

DOI10.1016/j.cam.2022.114771zbMath1498.49033arXiv2111.15088OpenAlexW3216461233MaRDI QIDQ2088867

Yunhui He

Publication date: 6 October 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.15088

zbMATH Keywords

multigrid methodssaddle-point problemlocal Fourier analysisdistributed optimal controlBraess-Sarazin relaxation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Optimality conditions for problems involving partial differential equations (49K20) Iterative numerical methods for linear systems (65F10)

Related Items (1)

Smoothing Analysis of Two Robust Multigrid Methods for Elliptic Optimal Control Problems

Uses Software

• LFA
• GitHub

Cites Work

• Unnamed Item
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• On Schwarz-type smoothers for saddle point problems with applications to PDE-constrained optimization problems
• Multigrid methods for parabolic distributed optimal control problems
• Optimal Solvers for PDE-Constrained Optimization
• A Robust Multigrid Method for Elliptic Optimal Control Problems
• Multigrid Methods for PDE Optimization
• Accuracy and Convergence Properties of the Finite Difference Multigrid Solution of an Optimal Control Optimality System
• Low‐order preconditioning of the Stokes equations

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