Exact sequences on Powell-Sabin splits

Autor: Guzman, J., Lischke, A., Neilan, M.
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: We construct smooth finite elements spaces on Powell-Sabin triangulations that form an exact sequence. The first space of the sequence coincides with the classical $C^1$ Powell-Sabin space, while the others form stable and divergence-free yielding pairs for the Stokes problem. We develop degrees of freedom for these spaces that induce projections that commute with the differential operators.
Databáze: arXiv