6 papers
Explicit Planar Finite Element Elasticity Complexes and Elements on Barycentric Refinements
Chunyu Chen, Long Chen, Xuehai Huang
The exact-sequence structure behind the Arnold--Douglas--Gupta family of higher-order mixed finite elements for plane elasticity on barycentric refinements is made explicit. On eac…
Implementation and Basis Construction for Smooth Finite Element Spaces
Chunyu Chen, Long Chen, Tingyi Gao +2
The construction of conforming finite elements on simplicial meshes has recently advanced through the groundbreaking work of Hu, Lin, and Wu (Found. Comput. Math. 24, 2024).…
Low-order finite element complex with application to a fourth-order elliptic singular perturbation problem
Xuewei Cui, Xuehai Huang
A low-order nonconforming finite element discretization of a smooth de Rham complex starting from the space in three dimensions is proposed, involving an -nonconforming…
Hybridizable Symmetric Stress Elements on the Barycentric Refinement in Arbitrary Dimensions
Long Chen, Xuehai Huang
Hybridizable \(H(\textrm{div})\)-conforming finite elements for symmetric tensors on simplices with barycentric refinement are developed in this work for arbitrary dimensions and a…
A Primal Staggered Discontinuous Galerkin Method on Polytopal Meshes
L. Chen, X. Huang, E. Park +1
This paper introduces a novel staggered discontinuous Galerkin (SDG) method tailored for solving elliptic equations on polytopal meshes. Our approach utilizes a primal-dual grid fr…
Decoupled finite element methods for a fourth-order exterior differential equation
Xuewei Cui, Xuehai Huang
This paper proposes novel decoupled finite element methods for a fourth-order exterior differential equation. Based on differential complexes and the Helmholtz decomposition, the f…