Discrete tensor product BGG sequences: Splines and finite elements.

Autor: Bonizzoni, Francesca, Hu, Kaibo, Kanschat, Guido, Sap, Duygu
Zdroj: Mathematics of Computation; Mar2025, Vol. 94 Issue 352, p517-549, 33p
Abstrakt: In this paper, we provide a systematic discretization of the Bernstein-Gelfand-Gelfand diagrams and complexes over cubical meshes in 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 \operatorname {div}\operatorname {div} complexes as examples for our construction. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index