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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)