9 papers
A Staggered Discontinuous Galerkin Method for linear elasticity problem on Polytopal Meshes
Long Chen, Xuehai Huang, Ruishu Wang +1
This paper develops a novel staggered discontinuous Galerkin (SDG) method for linear elasticity based on the Hellinger-Reissner variational principle. We construct symmetric stress…
A robust interior penalty method for a gradient-elastic Kirchhoff plate model
Mingqing Chen, Jianguo Huang, Xuehai Huang
This paper is devoted to proposing and analyzing a robust interior penalty method for a gradient-elastic Kirchhoff plate (GEKP) model over a convex polygon. The numerical met…
A finite element elasticity complex in three dimensions
Long Chen, Xuehai Huang
A finite element elasticity complex on tetrahedral meshes is devised. The conforming finite element is the smooth finite element developed by Neilan for the velocity field in…
A Morley-Wang-Xu element method for a fourth order elliptic singular perturbation problem
Xuehai Huang, Yuling Shi, Wenqing Wang
A Morley-Wang-Xu (MWX) element method with a simply modified right hand side is proposed for a fourth order elliptic singular perturbation problem, in which the discrete bilinear f…
Finite elements for divdiv-conforming symmetric tensors in three dimensions
Long Chen, Xuehai Huang
Two types of finite element spaces on a tetrahedron are constructed for divdiv conforming symmetric tensors in three dimensions. The key tools of the construction are the decomposi…
Piecewise Divergence-Free Nonconforming Virtual Elements for Stokes Problem in Any Dimensions
Huayi Wei, Xuehai Huang, Ao Li
Piecewise divergence-free nonconforming virtual elements are designed for Stokes problem in any dimensions. After introducing a local energy projector based on the Stokes problem a…