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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.NA2022
Neural Network Based Variational Methods for Solving Quadratic Porous Medium Equations in High Dimensions
Jianfeng Lu, Min Wang
In this paper, we propose and study neural network based methods for solutions of high-dimensional quadratic porous medium equation (QPME). Three variational formulations of this n…
math.NA2021
Mixed Generalized Multiscale Finite Element Method for Flow Problem in Thin Domains
Denis Spiridonov, Maria Vasilyeva, Min Wang +1
In this paper, we construct a class of Mixed Generalized Multiscale Finite Element Methods for the approximation on a coarse grid for an elliptic problem in thin two-dimensional do…