Homogenization of Elliptic Differential Equations in One-Dimensional Spaces
G. Grammel
Source: Abstr. Appl. Anal. Volume 2007 (2007), 6 pages.
Abstract
Linear elliptic differential equations with periodic coefficients in one-dimensional domains are considered. The approximation properties of the homogenized system are investigated. For $H^{-1}$-data, it turns out that the order of approximation is strongly related to the decay of the Fourier coefficients of the $L^{2}$-functions involved.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aaa/1204126585
Digital Object Identifier: doi:10.1155/2007/98538
Abstract and Applied Analysis
