Open access
Date
1999-01Type
- Report
ETH Bibliography
yes
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Abstract
A new finite element method for elliptic problems with locally periodic microstructure of length $\varepsilon >0$ is developed and analyzed. It is shown that the method converges, as $\varepsilon \rightarrow 0$, to the solution of the homogenized problem with optimal order in $\varepsilon$ and exponentially in the number of degrees of freedom independent of $\varepsilon > 0$. The computational work of the method is bounded independently of $\varepsilon$. Numerical experiments demonstrate the feasibility and confirm the theoretical results. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004323290Publication 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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