63 citations · 185 across the 25 of their papers we have counts for
4 papers · 1 filter
Oberwolfach report : Discretization of Hilbert complexes
Kaibo Hu
The report is based on an extended abstract for the MFO workshop "Hilbert Complexes: Analysis, Applications, and Discretizations", held at Oberwolfach during 19-25 June 2022. The a…
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…
BGG sequences with weak regularity and applications
Andreas Čap, Kaibo Hu
We investigate some Bernstein-Gelfand-Gelfand (BGG) complexes on bounded Lipschitz domains in consisting of Sobolev spaces. In particular, we compute the cohomology…
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…