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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.OC2026
A hybrid crossover kangaroo escape optimization framework for engineering optimization and UAV path planning
Han-Bin Liu, Huayi Wei
Complex engineering optimization problems are often characterized by multimodality, high dimensionality, and nonlinear constraints, posing significant challenges for efficient and…
physics.flu-dyn2026
A High-Performance, Cross-Platform Open-Source Solver for the Incompressible Navier-Stokes Equations in FEALPy
Wang Pengxiang, Huang Xianbo, Peng Li +1
To address the dual challenges of performance portability across heterogeneous hardware and the high usability barriers of conventional computational fluid dynamics (CFD) software,…