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Asymptotic and numerical homogenization
2008 (English)In: Acta Numerica, ISSN 0962-4929, E-ISSN 1474-0508, Vol. 17, 147-190 p.Article in journal (Refereed) Published
Abstract [en]

Homogenization is an important mathematical framework for developing effective models of differential equations with oscillations. We include in the presentation techniques for deriving effective equations, a brief discussion on analysis of related limit processes and numerical methods that are based on homogenization principles. We concentrate on first- and second-order partial differential equations and present results concerning both periodic and random media for linear as well as nonlinear problems. In the numerical sections, we comment on computations of multi-scale problems in general and then focus on projection-based numerical homogenization and the heterogeneous multi-scale method.

Place, publisher, year, edition, pages
2008. Vol. 17, 147-190 p.
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Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-73943DOI: 10.1017/S0962492906360011OAI: oai:DiVA.org:kth-73943DiVA: diva2:489072
Note
QC 20120217Available from: 2012-02-02 Created: 2012-02-02 Last updated: 2017-12-08Bibliographically approved

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Engquist, Björn
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CiteExportLink to record
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  • apa
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