8 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…
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…
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…
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…
-conforming Finite Element Tensors with Constraints
Long Chen, Xuehai Huang
A unified construction of -conforming finite element tensors, including vector element, symmetric matrix element, traceless matrix element, and, in general, tensor…
Finite Element Complexes in Two Dimensions
Long Chen, Xuehai Huang
In this study, two-dimensional finite element complexes with various levels of smoothness, including the de Rham complex, the curldiv complex, the elasticity complex, and the divdi…