A new MOX report entitled “Discrete tensor product BGG sequences: splines and finite elements” by Bonizzoni, F.; Hu, K.; Kanschat, G.; Sap, D. has appeared in the MOX Report Collection.
The report can be donwloaded at the following link:
https://www.mate.polimi.it/biblioteca/add/qmox/08/2023.pdf
Abstract: 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.
