Homogenization of Elliptic Differential Equations in One-Dimensional Spaces
G. Grammel · Abstract and Applied Analysis · 2007
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 L2 -functions involved.