5 papers
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 extends the planar VE…
Symmetric Taylor--Hood elements for the linear stress gradient problem
Jun Hu, Ting Lin, Shudan Tian +1
We develop mixed finite element methods for the linear stress-gradient elasticity problem based on symmetric Taylor--Hood elements. We establish the stability of the symmetric Tayl…
Finite Element Complexes with Traces Structures: A unified framework for cohomology and bounded interpolation
Jun Hu, Yizhou Liang, Ting Lin
This paper considers the cohomology and bounded interpolation of nonstandard finite element complexes, e.g. Stokes, Hessian, Elasticity, divdiv. Compared to the standard finite ele…
Discretizing linearized Einstein-Bianchi system by symmetric and traceless tensors
Yuyang Guo, Jun Hu, Ting Lin
The Einstein-Bianchi system uses symmetric and traceless tensors to reformulate Einstein's original field equations. However, preserving these algebraic constraints simultaneously…
The sharpness condition for constructing a finite element from a superspline
Jun Hu, Ting Lin, Qingyu Wu +1
This paper addresses sharpness conditions for constructing conforming finite element spaces from a superspline spaces on general simplicial triangulations. We introduce the c…