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Asymptotic and nume...
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Engquist, Björn
(författare)
Asymptotic and numerical homogenization
- Artikel/kapitelEngelska2008
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Nummerbeteckningar
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LIBRIS-ID:oai:DiVA.org:kth-73943
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https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-73943URI
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https://doi.org/10.1017/S0962492906360011DOI
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Språk:engelska
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Sammanfattning på:engelska
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Ämneskategori:art swepub-publicationtype
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QC 20120217
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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.
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Souganidis, P.E.
(författare)
Sammanhörande titlar
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Ingår i:Acta Numerica17, s. 147-1900962-49291474-0508
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