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Report 1999-01
Generalized p-FEM in Homogenization
A.M. Matache, I. Babuska and C. Schwab
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.
Paper: Available as PDF (812 KB) or as hardcopy to order reports@sam.math.ethz.ch.
Publishing information: In: Numerische Mathematik, Vol. 86, Issue 2, p. 319-375, (2000)
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