Towards a taxonomy for multiscale methods in computational mechanics: building blocks of existing methods
V. Gravemeier, S. Lenz and W. A. Wall
Computational Mechanics, 41, 279-291 (2008).

ABSTRACT
Existing multiscale methods in computational mechanics are analyzed with respect
to their computational building blocks, considering methods in both solid and
fluid mechanics. From this analysis, a step towards a taxonomy for multiscale
methods in computational mechanics is taken. The present article is not intended
as a closed story; it is rather hoped that it may provide some basis for future
discussions. Moreover, it might even provide a point of view to more clearly
identify differences and similarities in the variety of multiscale methods
currently existing or being developed in the future. The methods or their
building blocks, respectively, are investigated with a view on their multiscale
features regarding the underlying problem, spatial scale processing, and
temporal scale processing. As expected, it turns out that the mechanics of the
underlying problem strongly influences the necessary building blocks of an
adequate multiscale method.