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math.NA2024★ 1 cited
Multicontinuum splitting scheme for multiscale flow problems
Yalchin Efendiev, Wing Tat Leung, Buzheng Shan +1
In this paper, we propose multicontinuum splitting schemes for multiscale problems, focusing on a parabolic equation with a high-contrast coefficient. Using the framework of multic…
math.NA2024★ 2 cited
Multicontinuum homogenization in perforated domains
Wei Xie, Yalchin Efendiev, Yunqing Huang +2
In this paper, we develop a general framework for multicontinuum homogenization in perforated domains. The simulations of problems in perforated domains are expensive and, in many…