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Domain Embedding/Controllability Methods for the Conjugate Gradient Solution of Wave Propagation Problems

  • H.Q. Chen
  • R. Glowinski
  • J. Periaux
  • J. Toivanen
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 40)

Summary

The main goal of this paper is to discuss the numerical simulation of propagation phenomena for time harmonic electromagnetic waves by methods combining controllability and fictitious domain techniques. These methods rely on distributed Lagrangian multipliers, which allow the propagation to be simulated on an obstacle free computational region using regular finite element meshes essentially independent of the geometry of the obstacle and on a controllability formulation which leads to algorithms with good convergence properties to time-periodic solutions. This novel methodology has been validated by the solutions of test cases associated to non trivial geometries, possibly non-convex. The numerical experiments show that the new method performs as well as the method discussed in Bristeau et al. [1998] where obstacle fitted meshes were used.

Keywords

Direct Numerical Simulation Conjugate Gradient Algorithm Wave Problem Saddle Point Problem Forward Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. V. Bokil. Computational methods for wave propagation problems in unbounded domains. PhD thesis, University of Houston, Texas, USA, 2004.Google Scholar
  2. M. Bristeau, R. Glowinski, and J. Periaux. Controllability methods for the computation of time periodic solutions; applications to scattering. Journal of Computational Physics, 147:265–292, 1998.MathSciNetCrossRefGoogle Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • H.Q. Chen
    • 1
  • R. Glowinski
    • 2
  • J. Periaux
    • 3
  • J. Toivanen
    • 4
  1. 1.Institute of AerodynamicsUniversity of NanjingNanjingPR of China
  2. 2.Depart. of Math.University of HoustonHoustonUSA
  3. 3.Direction de la ProspectiveDassault-AviationSt Cloud CedexFrance
  4. 4.Math. Inf. Tech.University of JyvaskylaJyvaskylaFinland

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