3 papers
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…
math.OC2024
Formalization of Complexity Analysis of the First-order Algorithms for Convex Optimization
Chenyi Li, Ziyu Wang, Wanyi He +3
The convergence rate of various first-order optimization algorithms is a pivotal concern within the numerical optimization community, as it directly reflects the efficiency of thes…