Exact sequences on Powell-Sabin splits

10 Apr 2019  ·  Guzman J., Lischke A., Neilan M. ·

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. read more

PDF Abstract
No code implementations yet. Submit your code now


Numerical Analysis