Discrete tensor product BGG sequences: splines and finite elements
Tuesday 7th February 2023
Bonizzoni, F.; Hu, K.; Kanschat, G.; Sap, D.
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-product structures of one-dimensional piecewise-polynomial spaces, such as spline and finite element spaces. We demonstrate the construction of the Hessian, the elasticity, and divdiv complexes as examples for our construction.