Open access
Date
2003-10Type
- Report
ETH Bibliography
yes
Altmetrics
Abstract
Elliptic homogenization problems in a domain $\Omega \subset \R^d$ with $n+1$ separated scales are reduced to elliptic one-scale problems in dimension $(n+1)d$. They are discretized by a sparse tensor product finite element method (FEM) which resolves all scales of the solution throughout the physical domain. We prove that this FEM has accuracy, work and memory requirement comparable of FEM for single scale problems in the physical domain $\Omega$ and performs independently of the scale parameters. Numerical examples for problems with two and three scales confirm our results. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004604740Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichOrganisational unit
03435 - Schwab, Christoph / Schwab, Christoph
More
Show all metadata
ETH Bibliography
yes
Altmetrics