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math.NA2025
A deterministic-particle-based scheme for micro-macro viscoelastic flows
Xuelian Bao, Chun Liu, Yiwei Wang
In this article, we introduce a new method for discretizing micro-macro models of dilute polymeric fluids by integrating a finite element discretization for the macroscopic fluid d…
math.NA2024
Energetic Variational Neural Network Discretizations of Gradient Flows
Ziqing Hu, Chun Liu, Yiwei Wang +1
We present a structure-preserving Eulerian algorithm for solving -gradient flows and a structure-preserving Lagrangian algorithm for solving generalized diffusions. Both algor…