An Effective Computational Scheme for the Optimal Control of Wave Equations

Jun Liu, Buyang Li, Mingqing Xiao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

With a standard second-order central finite difference scheme in space, the full discretization is proved to be unconditionally convergent with a second-order accuracy. Moreover, based on its favorable structure, an efficient preconditioned iterative method is provided for solving the discretized unsymmetric sparse linear system. Numerical examples are presented to confirm our theoretical conclusions and demonstrate the promising performance of our proposed algorithms.
Original languageEnglish
Pages (from-to)891-896
Number of pages6
JournalIFAC-PapersOnLine
Volume49
Issue number18
DOIs
Publication statusPublished - 1 Jan 2016

Keywords

  • Leapfrog scheme
  • Multigrid method
  • Optimal control
  • Wave equation

ASJC Scopus subject areas

  • Control and Systems Engineering

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