4 papers
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…
Hybridizable Staggered Discontinuous Galerkin Methods for Polyharmonic Equations on Polytopes
Long Chen, Xuehai Huang, Yule Sun +1
Hybridizable staggered discontinuous Galerkin methods are developed for arbitrary-order polyharmonic equations on shape-regular polytopal meshes in , for…
Mixed Finite element method for stress gradient elasticity
Ting Lin, Shudan Tian
This paper develops stable finite element pairs for the linear stress gradient elasticity model, overcoming classical elasticity's limitations in capturing size effects. We analyze…
3D -nonconforming tetrahedral finite elements for the biharmonic equation
Jun Hu, Shudan Tian, Shangyou Zhang
In this article, a family of -nonconforming finite elements on tetrahedral grids is constructed for solving the biharmonic equation in 3D. In the family, the polynomi…