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Algebraic derivation of discrete absorbing boundary conditions for the wave equation

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Summary.

We introduce a new algebraic framework to derive discrete absorbing boundary conditions for the wave equation in the one-dimensional case. The idea is to factor directly the discrete wave operator and then use one of the factors as boundary condition. We also analyse the stability of the schemes obtained this way and perform numerical simulations to estimate their practical value.

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Authors and Affiliations

  1. Institute of Mathematics, Helsinki University of Technology, FIN-02150 Espoo, Finland; e-mail: jukka.tuomela@hut.fi , , , , , , FI

    Jukka Tuomela

  2. INRIA, Rocquencourt, BP 105, F-78153 Le Chesnay Cedex, France; e-mail: olivier.vacus@inria.fr , , , , , , FR

    Olivier Vacus

Authors
  1. Jukka Tuomela
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  2. Olivier Vacus
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Received June 14, 1997 / Revised version received September 15, 1997

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Tuomela, J., Vacus, O. Algebraic derivation of discrete absorbing boundary conditions for the wave equation. Numer. Math. 80, 419–459 (1998). https://doi.org/10.1007/s002110050374

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  • DOI: https://doi.org/10.1007/s002110050374

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