6 papers
Partially discontinuous nodal finite elements for and
Jun Hu, Kaibo Hu, Qian Zhang
We investigate discretization of and in two and three space dimensions by partially discontinuous nodal finite elements, i.e., vector-valued La…
Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations
Fabian Laakmann, Patrick E. Farrell, Kaibo Hu
We develop structure-preserving finite element methods for the incompressible, resistive Hall magnetohydrodynamics (MHD) equations. These equations incorporate the Hall current ter…
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…
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…
Finite Element Systems for vector bundles : elasticity and curvature
Snorre H. Christiansen, Kaibo Hu
We develop a theory of Finite Element Systems, for the purpose of discretizing sections of vector bundles, in particular those arizing in the theory of elasticity. In the presence…
A characterization of supersmoothness of multivariate splines
Michael S. Floater, Kaibo Hu
We consider spline functions over simplicial meshes in $\RR^n$. We assume that the spline pieces join together with some finite order of smoothness but the pieces themselves are in…