Analysis of Multiscale Methods

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Abstract

The heterogeneous multiscale method gives a general framework for the analysis of multiscale methods. In this paper, we demonstrate this by applying this framework to two canonical problems: The elliptic problem with multiscale coefficients and the quasi-continuum method.

Keywords:

Multiscale problem Homogenization Crystal Quasicontinuum method.
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Analysis of Multiscale Methods. (2004). Journal of Computational Mathematics, 22(2), 210-219. https://www.global-sci.com/index.php/JCM/article/view/11625