@inbook{641721dba91541288ca4a40387756230,
title = "The heterogeneous multi-scale method for homogenization problems",
abstract = "The heterogeneous multi-scale method, a general framework for efficient numerical modeling of problems with multi-scales [15], is applied to a large variety of homogenization problems. These problems can be either linear or nonlinear, periodic or non-periodic, stationary or dynamic. Stability and accuracy issues are analyzed along the lines of the general principles outlined in [15]. Strategies for obtaining the microstructural information are discussed.",
keywords = "Heterogeneous multiscale method, Homogenization, Multiscale problems",
author = "E. Weinan and Bj{\"o}rn Engquist",
year = "2005",
doi = "10.1007/3-540-26444-2_4",
language = "English (US)",
isbn = "9783540253358",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "89--110",
booktitle = "Multiscale Methods in Science and Engineering",
address = "Germany",
}