A numerical method for the computation of tangent vectors to 2×2 hyperbolic systems of conservation laws

Michael Herty, Benedetto Piccoli

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We are interested in the development of a numerical method for solving optimal control problems governed by hyperbolic systems of conservation laws. The main difficulty of computing the derivative in the case of shock waves is resolved in the presented scheme. Our approach is based on a combination of a relaxation approach in combination with a numerical scheme to resolve the evolution of the tangent vectors. Numerical results for optimal control problems are presented.

Original languageEnglish (US)
Pages (from-to)683-704
Number of pages22
JournalCommunications in Mathematical Sciences
Volume14
Issue number3
DOIs
StatePublished - 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Keywords

  • Conservation laws
  • Optimization
  • Tangent vectors

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