Open AccessHomogenization of Elliptic Differential Equations in One-Dimensional Spaces
Author(s) -
G. Grammel
Publication year - 2007
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2007/98538
Subject(s) - homogenization (climate) , algorithm , mathematics , computer science , biodiversity , ecology , biology
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
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