Open access
Date
2001-07Type
- Report
ETH Bibliography
yes
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Abstract
The convergence of a two-scale FEM for elliptic problems in divergence form with coefficients and geometries oscillating at length scale \e << 1 is analyzed. Full elliptic regularity independent of \e is shown when the solution is viewed as mapping from the slow into the fast scale. Two-scale FE spaces which are able to resolve the \e scale of the solution with work independent of \e and without analytical homogenization are introduced. Robust in \e error estimates for the two-scale FE spaces are proved. Numerical experiments confirm the theoretical analysis. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004288585Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichOrganisational unit
03435 - Schwab, Christoph / Schwab, Christoph
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ETH Bibliography
yes
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