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Multi-scale methods for wave propagation in heterogeneous media
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA. (The NA group)
2009 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

Multi-scale wave propagation problems are computationally costly to    solve by traditional techniques because the smallest scales must be    represented over a domain determined by the largest scales of the    problem.  We have developed new numerical methods for multi-scale wave    propagation in the framework of heterogeneous multi-scale methods.  The    numerical methods couples simulations on macro and micro scales with    data exchange between models of different scales.  With the new method    we are able to consider a general class of problems including some    problems where a homogenized equation is unknown.  We show that the    complexity of the new method is significantly lower than that of    traditional techniques.  Numerical results are presented from problems    in one, two and three dimensional and for finite and long time.  We also    analyze the method, in one and several dimensions and for finite time,    using Fourier analysis.

Place, publisher, year, edition, pages
Stockholm: KTH , 2009. , 70 p.
Trita-CSC-A, ISSN 1653-5723 ; 2009:12
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-10511ISBN: 978-91-7415-357-6OAI: diva2:218626
2009-06-11, D31, KTH, Lindstedtsvägen 5, KTH, 13:15 (English)
Available from: 2009-06-08 Created: 2009-05-20 Last updated: 2010-10-14Bibliographically approved

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Holst, Henrik
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Numerical Analysis, NA
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