Discrete tensor product BGG sequences: splines and finite elements
Numerical Analysis
2025-06-23 v2 Numerical Analysis
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 the divdiv complexes as examples for our construction.
Cite
@article{arxiv.2302.02434,
title = {Discrete tensor product BGG sequences: splines and finite elements},
author = {Francesca Bonizzoni and Kaibo Hu and Guido Kanschat and Duygu Sap},
journal= {arXiv preprint arXiv:2302.02434},
year = {2025}
}