
Open access
Date
1999-04Type
- Report
ETH Bibliography
yes
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Abstract
A new class of $p$ version FEM for elliptic problems with microstructure is developed. Based on arguments from the theory of $n$-widths, the existence of subspaces with favourable approximation properties for solution sets of PDEs is deduced. The construction of such subspaces is addressed for problems with (patch-wise) periodic microstructure. Families of adapted spectral shape functions are exhibited which give exponential convergence for smooth data, independently of the coefficient regularity. Some theoretical results on the spectral approach in homogenization are presented. Numerical results show robust exponential convergence in all cases. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004288545Publication 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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