63 citations · 185 across the 25 of their papers we have counts for
4 papers · 1 filter
Bounded Poincaré operators for twisted and BGG complexes
Andreas Čap, Kaibo Hu
We construct bounded Poincaré operators for twisted complexes and BGG complexes with a wide class of function classes (e.g., Sobolev spaces) on bounded Lipschitz domains. These ope…
An exterior calculus framework for polytopal methods
Francesco Bonaldi, Daniele A. Di Pietro, Jerome Droniou +1
We develop in this work the first polytopal complexes of differential forms. These complexes, inspired by the Discrete De Rham and the Virtual Element approaches, are discrete vers…
Nonlinear elasticity complex and a finite element diagram chase
Kaibo Hu
In this paper, we present a nonlinear version of the linear elasticity (Calabi, Kröner, Riemannian deformation) complex which encodes isometric embedding, metric, curvature and the…
Discrete tensor product BGG sequences: splines and finite elements
Francesca Bonizzoni, Kaibo Hu, Guido Kanschat +1
In this paper, we provide a systematic discretization of the Bernstein-Gelfand-Gelfand (BGG) diagrams and complexes over cubical meshes of arbitrary dimension via the use of tensor…