11 papers
Low-regularity finite element elasticity complexes with hybridizable stresses on tetrahedral Alfeld splits
Johnny Guzmán, Xuehai Huang
Finite element elasticity complexes of low regularity are constructed on tetrahedral Alfeld splits. In comparison with existing three-dimensional elasticity complexes on such split…
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…
Nonconforming Linear Element Method for a Generalized Tensor-Valued Stokes Equation with Application to the Triharmonic Equation
Ziwen Gu, Xuehai Huang
A nonconforming linear element method is developed for a three-dimensional generalized tensor-valued Stokes equation associated with the Hessian complex in this paper. A discrete H…
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…
Superconvergent and Divergence-Free Mixed Finite Element Methods for The Stokes Equation
Long Chen, Xuehai Huang, Chao Zhang +1
This paper develops divergence-free mixed finite element methods for the Stokes equation. Using H(div)-conforming velocities and discontinuous pressures ensures the inf-sup conditi…
Tangential-Normal Decompositions of Finite Element Differential Forms
Long Chen, Xuehai Huang
This paper introduces a novel tangential-normal (-) decomposition for finite element differential forms, presenting a new framework for constructing bases in finite element e…