New time domain decomposition methods for parabolic optimal control problems. I: Dirichlet-Neumann and Neumann-Dirichlet algorithms
type: Item
instance of: scholarly article
title: New time domain decomposition methods for parabolic optimal control problems. I: Dirichlet-Neumann and Neumann-Dirichlet algorithms
zbMATH Open document ID: 1544.65165
author: Martin J. Gander
author: Liu-Di Lu
published in: SIAM Journal on Numerical Analysis
publication date: 2024-09-10T00:00:00Z
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 7909883
zbMATH Keywords: time domain decomposition
zbMATH Keywords: Dirichlet-Neumann algorithm
zbMATH Keywords: Neumann-Dirichlet algorithm
zbMATH Keywords: parallel in time
zbMATH Keywords: parabolic optimal control problems
zbMATH Keywords: convergence analysis
MaRDI profile type: Publication
cites work: Domain decomposition methods for advection-dominated linear-quadratic elliptic optimal control problems
cites work: A Domain Decomposition Method with Coupled Transmission Conditions for the Optimal Control of Systems Governed by Elliptic Partial Differential Equations
cites work: Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
cites work: Computational Optimization of Systems Governed by Partial Differential Equations
cites work: A Schwarz domain decomposition method with gradient projection for optimal control governed by elliptic partial differential equations
cites work: Convergence analysis and optimization of a Robin Schwarz waveform relaxation method for time-periodic parabolic optimal control problems
cites work: An Introduction to Domain Decomposition Methods
cites work: Schwarz Methods for the Time-Parallel Solution of Parabolic Control Problems
cites work: Convergence of Substructuring Methods for Elliptic Optimal Control Problems
cites work: PARAOPT: A Parareal Algorithm for Optimality Systems
cites work: Constrained Optimization: From Lagrangian Mechanics to Optimal Control and PDE Constraints
cites work: Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
cites work: A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems
cites work: Optimization with PDE Constraints
cites work: On the Time-Domain Decomposition of Parabolic Optimal Control Problems
cites work: Space-Time Finite Element Discretization of Parabolic Optimal Control Problems with Energy Regularization
cites work: Q5601627
cites work: A parareal in time procedure for the control of partial differential equations
cites work: Multi-grid dynamic iteration for parabolic equations
cites work: Parallel Methods for the Numerical Integration of Ordinary Differential Equations
cites work: Regularization error estimates for distributed control problems in energy spaces
cites work: Parallel methods for integrating ordinary differential equations
cites work: Q4825126
cites work: Q3558349
cites work: Q4839885
DOI: 10.1137/23M1584502
description: scientific article; zbMATH DE number 7909883