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math.NA2022★ 8 cited
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for multi-continuum Richards equations
Tina Mai, Siu Wun Cheung, Jun Sur Richard Park
In fluid flow simulation, the multi-continuum model is a useful strategy. When the heterogeneity and contrast of coefficients are high, the system becomes multiscale, and some kind…
math.NA2022★ 12 cited
Physics-informed neural networks for learning the homogenized coefficients of multiscale elliptic equations
Jun Sur Richard Park, Xueyu Zhu
Multiscale elliptic equations with scale separation are often approximated by the corresponding homogenized equations with slowly varying homogenized coefficients (the G-limit). Th…