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arXiv · 2302.02434

Discrete tensor product BGG sequences: splines and finite elements

Francesca Bonizzoni·Kaibo Hu·Guido Kanschat·Duygu Sap
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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.

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Francesca Bonizzoni, Kaibo Hu, Guido Kanschat, Duygu Sap. 2023-12-30. Discrete tensor product BGG sequences: splines and finite elements. https://doi.org/10.1090/mcom%2F3969

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