Multiscale methods for the wave equation | Zendy

Engquist Bjorn | Zendy; Holst Henrik | Zendy; Runborg Olof | Zendy

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Multiscale methods for the wave equation

Author(s) -

Engquist Bjorn,

Holst Henrik,

Runborg Olof

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700930

Subject(s) - scale (ratio) , wave equation , construct (python library) , wave propagation , scheme (mathematics) , multiscale modeling , computer science , statistical physics , mathematics , mathematical optimization , physics , mathematical analysis , optics , chemistry , computational chemistry , quantum mechanics , programming language

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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