Optimized Schwarz Methods for Elliptic Optimal Control Problems

DOI10.1007/978-3-319-93873-8_19zbMath1443.65422OpenAlexW2907247105MaRDI QIDQ5114539

Bérangère Delourme, Laurence Halpern, Binh T. Nguyen

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_19

zbMATH Keywords

optimized Schwarz methodselliptic optimal control problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Control/observation systems governed by partial differential equations (93C20) Finite difference methods for boundary value problems involving PDEs (65N06) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (2)

Optimized Schwarz Methods for the Cahn–Hilliard Equation ⋮ A Complex Homographic Best Approximation Problem. Application to Optimized Robin--Schwarz Algorithms, and Optimal Control Problems

Cites Work

• Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions
• A domain decomposition method for the Helmholtz equation and related optimal control problems
• A homographic best approximation problem with application to optimized Schwarz waveform relaxation
• An optimized Schwarz method with two-sided Robin transmission conditions for the Helmholtz equation
• Optimized Schwarz Methods without Overlap for the Helmholtz Equation
• A Domain Decomposition Method with Coupled Transmission Conditions for the Optimal Control of Systems Governed by Elliptic Partial Differential Equations
• Optimized Schwarz Methods

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