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Learning-based Multi-continuum Model for Multiscale Flow Problems
March 22, 2024, 4:42 a.m. | Fan Wang, Yating Wang, Wing Tat Leung, Zongben Xu
cs.LG updates on arXiv.org arxiv.org
Abstract: Multiscale problems can usually be approximated through numerical homogenization by an equation with some effective parameters that can capture the macroscopic behavior of the original system on the coarse grid to speed up the simulation. However, this approach usually assumes scale separation and that the heterogeneity of the solution can be approximated by the solution average in each coarse block. For complex multiscale problems, the computed single effective properties/continuum might be inadequate. In this paper, …
abstract arxiv behavior cs.lg cs.na equation flow grid however math.na numerical parameters scale simulation speed the simulation through type
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