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Wavelet-based numerical homogenization
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
1998 (English)In: SIAM Journal on Numerical Analysis, ISSN 0036-1429, E-ISSN 1095-7170, Vol. 35, no 2, 540-559 p.Article in journal (Refereed) Published
Abstract [en]

A numerical homogenization procedure for elliptic differential equations is presented. It is based on wavelet decompositions of discrete operators in find and coarse scale components followed by the elemination of the fine scale contributions. If the operator is in divergence form, this is preserved by the homogenization procedure. For periodic problems, results similar to classical effective coefficient theory is proved. The procedure can be applied to problems that are not cell-periodic.

Place, publisher, year, edition, pages
1998. Vol. 35, no 2, 540-559 p.
Keyword [en]
elliptic, operators, homogenization, Wavelets
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-90363OAI: oai:DiVA.org:kth-90363DiVA: diva2:505044
Note
NR 20140805Available from: 2012-02-22 Created: 2012-02-22 Last updated: 2017-12-07Bibliographically approved

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