63 citations · 185 across the 25 of their papers we have counts for
5 papers · 1 filter
A discrete elasticity complex on three-dimensional Alfeld splits
Snorre H. Christiansen, Jay Gopalakrishnan, Johnny Guzmán +1
We construct conforming finite element elasticity complexes on the Alfeld splits of tetrahedra. The complex consists of vector fields and symmetric tensor fields, interlinked via t…
A family of finite element Stokes complexes in three dimensions
Kaibo Hu, Qian Zhang, Zhimin Zhang
We construct finite element Stokes complexes on tetrahedral meshes in three-dimensional space. In the lowest order case, the finite elements in the complex have 4, 18, 16, and 1 de…
Helicity-conservative finite element discretization for incompressible MHD systems
Kaibo Hu, Young-Ju Lee, Jinchao Xu
We construct finite element methods for the incompressible magnetohydrodynamics (MHD) system that precisely preserve magnetic and cross helicity, the energy law and the magnetic Ga…
Complexes from complexes
Douglas N. Arnold, Kaibo Hu
This paper is concerned with the derivation and properties of differential complexes arising from a variety of problems in differential equations, with applications in continuum me…
Simple curl-curl-conforming finite elements in two dimensions
Kaibo Hu, Qian Zhang, Zhimin Zhang
We construct smooth finite element de Rham complexes in two space dimensions. This leads to three families of curl-curl conforming finite elements, two of which contain two existin…