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Author
Date
2001-10Type
- Report
ETH Bibliography
yes
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Abstract
We analyze two-scale Finite Element Methods for the numerical solution of elliptic homogenization problems with coefficients oscillating at a small length scale \varepsilon << 1. Based on a refined two-scale regularity on the solutions, two-scale tensor product FE spaces are introduced and error estimates which are robust (i.e. independent of \varepsilon) are given. We show that under additional two-scale regularity assumptions on the solution, resolution of the fine scale is possible with substantially fewer degrees of freedom and the two-scale full tensor product spaces can be "thinned out"" by means of sparse interpolation preserving at the same time the error estimates. Show more
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https://doi.org/10.3929/ethz-a-004286073Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
Homogenization; two-scale FEM; sparse two-scale FEMOrganisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
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ETH Bibliography
yes
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