Numerical methods for the optimal control of scalar conservation laws

Sonja Steffensen, Michael Herty, Lorenzo Pareschi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

We are interested in a class of numerical schemes for the optimization of nonlinear hyperbolic partial differential equations. We present continuous and discretized relaxation schemes for scalar, one- conservation laws. We present numerical results on tracking typew problems with nonsmooth desired states and convergence results for higher-order spatial and temporal discretization schemes.

Original languageEnglish
Title of host publicationSystem Modeling and Optimization - 25th IFIP TC 7 Conference, CSMO 2011, Revised Selected Papers
PublisherSpringer New York LLC
Pages136-144
Number of pages9
ISBN (Print)9783642360619
DOIs
StatePublished - 2013
Externally publishedYes
Event25th IFIP TC 7 Conference on System Modeling and Optimization, CSMO 2011 - Berlin, Germany
Duration: 12 Sep 201116 Sep 2011

Publication series

NameIFIP Advances in Information and Communication Technology
Volume391 AICT
ISSN (Print)1868-4238

Conference

Conference25th IFIP TC 7 Conference on System Modeling and Optimization, CSMO 2011
Country/TerritoryGermany
CityBerlin
Period12/09/1116/09/11

Keywords

  • IMEX schemes
  • Runge-Kutta methods
  • conservation laws
  • optimal control

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