Convergence of Substructuring Methods for Elliptic Optimal Control Problems

DOI10.1007/978-3-319-93873-8_27zbMath1443.65425OpenAlexW2907655646MaRDI QIDQ5114547

Felix Kwok, Martin J. Gander, Bankim C. Mandal

Publication date: 24 June 2020

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-93873-8_27

zbMATH Keywords

optimal control problemelliptic PDEsdomain decomposition (DD) methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Control/observation systems governed by partial differential equations (93C20) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Decomposition methods (49M27)

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Convergence analysis and optimization of a Robin Schwarz waveform relaxation method for time-periodic parabolic optimal control problems ⋮ A Complex Homographic Best Approximation Problem. Application to Optimized Robin--Schwarz Algorithms, and Optimal Control Problems

Cites Work

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• Neumann--Neumann Domain Decomposition Preconditioners for Linear-Quadratic Elliptic Optimal Control Problems
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
• A Domain Decomposition Method with Coupled Transmission Conditions for the Optimal Control of Systems Governed by Elliptic Partial Differential Equations

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