On the time-domain decomposition of parabolic optimal control problems

Wing Hong Felix KWOK*

*Corresponding author for this work

Research output: Chapter in book/report/conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

Discretized parabolic control problems lead to very large systems of equations, because trajectories must be approximated forward and backward in time. It is therefore of interest to devise parallel solvers for such systems. In this paper, we propose an optimized Schwarz type method for decomposing the parabolic control problem in time, and show how to choose the optimized parameters to obtain the fastest convergence in the two subdomain case. The method of energy estimates is used to deduce the contraction rate. We illustrate the method for a problem constrained by the advection-diffusion equation.

Original languageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XXIII
EditorsHyea Hyun Kim, Axel Klawonn, Eun-Jae Park, Chang-Ock Lee, Olof B. Widlund, Xiao-Chuan Cai, David E. Keyes
PublisherSpringer Verlag
Pages55-67
Number of pages13
ISBN (Print)9783319523880
DOIs
Publication statusPublished - 2017
Event23rd International Conference on Domain Decomposition Methods, DD23 - Jeju Island, Korea, Republic of
Duration: 6 Jul 201510 Jul 2015

Publication series

NameLecture Notes in Computational Science and Engineering
Volume116
ISSN (Print)1439-7358

Conference

Conference23rd International Conference on Domain Decomposition Methods, DD23
Country/TerritoryKorea, Republic of
City Jeju Island
Period6/07/1510/07/15

Scopus Subject Areas

  • Modelling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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