Multiscale methods for the wave equation

  • Engquist B
  • Holst H
  • Runborg O
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Abstract

We consider the wave equation in a medium with a rapidly varying speed of propagation. We construct a multiscale scheme based on the heterogeneous multiscale method, which can compute the correct coarse behavior of wave pulses traveling in the medium, at a computational cost essentially independent of the size of the small scale variations. This is verified by theoretical results and numerical examples. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Engquist, B., Holst, H., & Runborg, O. (2007). Multiscale methods for the wave equation. PAMM, 7(1), 1140903–1140904. https://doi.org/10.1002/pamm.200700930

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