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math.NA2026
History-Compatible Energy-Stable Finite Element Schemes for Variable-Density Cahn--Hilliard--Navier--Stokes Flows on Evolving Meshes
Wenbin Wang, Yunqing Huang, Yin Yang +1
We consider variable-density Cahn--Hilliard--Navier--Stokes (CHNS) discretizations on finite element meshes that may change between accepted time levels through fixed-topology moti…
math.NA2026
Adaptive multiscale model reduction for linear elasticity equation in perforated domains
Wei Xie, Eric Chung, Yin Yang +1
In this paper, we develop a Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) for solving linear elasticity problems in heterogeneous perforate…