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
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.
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-73943DOI: 10.1017/S0962492906360011OAI: oai:DiVA.org:kth-73943DiVA: diva2:489072
QC 201202172012-02-022012-02-022012-02-17Bibliographically approved