3 papers
gr-qc2025
Discrete Hessian complexes in three dimensions
Long Chen, Xuehai Huang
A family of conforming virtual element Hessian complexes on tetrahedral meshes are constructed based on decompositions of polynomial tensor spaces. They are applied to discretize t…
math.NA2025
Complexes from Complexes: Finite Element Complexes in Three Dimensions
Long Chen, Xuehai Huang
In the field of solving partial differential equations (PDEs), Hilbert complexes have become highly significant. Recent advances focus on creating new complexes using the Bernstein…
math.OC2025
Accelerated Gradient and Skew-Symmetric Splitting Methods for a Class of Monotone Operator Equations
Long Chen, Jingrong Wei
A class of monotone operator equations, which can be decomposed into sum of the gradient of a strongly convex function and a linear and skew-symmetric operator, is considered in th…