Abstract
Model-based 1st order homogenization for stationary problems was recently extended to transient problems. Along with the classical averages, a higher order conservation quantity in the macroscale problem is then obtained. This effect depends on the size of the “subscale computational cell” (denoted RVE) that is subjected to different prolongation conditions (Dirichlet, Neumann). The issue addressed in this paper is how to choose the optimal size of the RVE in order to obtain the best possible fit to the single-scale solution. It turns out that there is a trade-off between the RVE-size and the macroscale mesh diameter.
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Runesson, K., Su, F., Larsson, F. (2011). Assessment of Homogenization Errors in Transient Problems. In: Mueller-Hoeppe, D., Loehnert, S., Reese, S. (eds) Recent Developments and Innovative Applications in Computational Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17484-1_23
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DOI: https://doi.org/10.1007/978-3-642-17484-1_23
Publisher Name: Springer, Berlin, Heidelberg
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