Showing 2023Show all
3 papers · 1 filter
math.NA2023
Extended Regge complex for linearized Riemann-Cartan geometry and cohomology
Snorre H. Christiansen, Kaibo Hu, Ting Lin
We show that the cohomology of the Regge complex in three dimensions is isomorphic to , the infinitesimal-rigid…
math.NA2023
Distributional Hessian and divdiv complexes on triangulation and cohomology
Kaibo Hu, Ting Lin, Qian Zhang
In this paper, we construct discrete versions of some Bernstein-Gelfand-Gelfand (BGG) complexes, i.e., the Hessian and the divdiv complexes, on triangulations in 2D and 3D. The seq…
math.NA2023
Finite elements for symmetric and traceless tensors in three dimensions
Kaibo Hu, Ting Lin, Bowen Shi
We construct a family of finite element sub-complexes of the conformal complex on tetrahedral meshes and show their exactness on contractible domains. This complex includes vector…