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math.NA2026
A Pressure-Free Virtual Element Method for the Surface Stokes Problem
Jun Hu, Shengyang Xu, Hao Zhou
We develop a pressure-free virtual element method for the surface Stokes problem on polygonal approximations of closed surfaces of arbitrary genus. The method is built on a nonconf…
math.NA2026
Exact Representation of Piecewise Polynomial Finite Element Functions by Two-Hidden-Layer Multilayer Perceptrons
Jun Hu, Pengzhan Jin, Shengyang Xu
We construct exact representations of finite element functions of arbitrary polynomial degree on simplicial meshes in any spatial dimension by two-hidden-layer multilayer perceptro…