Abstract and Applied Analysis
Volume 2007 (2007), Article ID 98538, 6 pages
Research Article

Homogenization of Elliptic Differential Equations in One-Dimensional Spaces

G. Grammel

Centre for Mathematics, Technical University of Munich, 3 Boltzmann Street, Garching 85747, Germany

Received 16 August 2006; Revised 7 December 2006; Accepted 14 December 2006

Academic Editor: Vesa Mustonen

Copyright © 2007 G. Grammel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Linear elliptic differential equations with periodic coefficients in one-dimensional domains are considered. The approximation properties of the homogenized system are investigated. For H1-data, it turns out that the order of approximation is strongly related to the decay of the Fourier coefficients of the L2-functions involved.