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Far-field Evaluation via Nonreflecting Boundary Conditions

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • M. J. Grote

    (University of Basel, Department of Mathematics)

  • C. Kirsch

    (University of Basel, Department of Mathematics)

Abstract

A new far-field evaluation formula is presented which enables the efficient evaluation of the far-field solution for wave propagation problems, if the exact nonreflecting boundary condition in [5, 6] is used for the numerical computation in the near-field. In particular, the evaluation formula permits to take advantage of the fast decay with distance of selected modes and thus to store only the minimal amount of information necessary from the past. The accuracy of this formula is illustrated via numerical experiments.

Suggested Citation

  • M. J. Grote & C. Kirsch, 2003. "Far-field Evaluation via Nonreflecting Boundary Conditions," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 195-204, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_17
    DOI: 10.1007/978-3-642-55711-8_17
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