Wavelet-based numerical homogenization
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
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.
elliptic, operators, homogenization, Wavelets
Computer and Information Science
IdentifiersURN: urn:nbn:se:kth:diva-90363OAI: oai:DiVA.org:kth-90363DiVA: diva2:505044
NR 201408052012-02-222012-02-22Bibliographically approved