3 papers
math.NA2025
Local L2-bounded commuting projections using discrete local problems on Alfeld splits
Alexandre Ern, Johnny Guzman, Pratyush Potu +1
We construct projections onto the classical finite element spaces based on Lagrange, Nédélec, Raviart-Thomas, and discontinuous elements on shape-regular simplicial meshes. Our pro…
math.NA2019
Exact sequences on Powell-Sabin splits
J. Guzman, A. Lischke, M. Neilan
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 Powell-Sab…
math.NA2016
Inf-sup stability of geometrically unfitted Stokes finite elements
Johnny Guzmán, Maxim Olshanskii
The paper shows an inf-sup stability property for several well-known 2D and 3D Stokes elements on triangulations which are not fitted to a given smooth or polygonal domain. The pro…