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Reports (Research Report) Year : 1998

Controllability Methods for the Calculation of Time-Periodic Solutions. Application to Scattering.

Marie-Odile Bristeau
Roland Glowinski
  • Function : Author
Jacques Périaux
  • Function : Author

Abstract

We discuss in this article the application of controllability techniques to the calculation of the time-periodic solutions of evolution equations. The basic principles of the computational methods are presented in a fairly general context where we discuss the time discretization aspect. We apply then this general methodology to the solution of scattering problems for harmonic planar waves by two and three dimensional purely reflecting non-convex obstacles. Numerical results obtained by the above method and comparisons with the results obtained by more classical methods show the superiority of the former ones. In annexe A, we give some details on the Radar Cross Section computation.
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Dates and versions

inria-00073303 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073303 , version 1

Cite

Marie-Odile Bristeau, Roland Glowinski, Jacques Périaux. Controllability Methods for the Calculation of Time-Periodic Solutions. Application to Scattering.. [Research Report] RR-3386, INRIA. 1998. ⟨inria-00073303⟩
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