activity
20242026
most citedDiscrete Poincaré inequalities: a review on proofs, equivalent formulations, and behavior of constants

1 citations · 1 across the 4 of their papers we have counts for

collaborators
Showing 2026 · math.NAShow all

2 papers · 2 filters

math.NA2026

Bounded, Commuting, Discrete-trace Preserving Projections

Alexandre Ern, Johnny Guzmán, Pratyush Potu

We construct bounded, commuting projections for the three-dimensional de Rham complex with the additional property that the projections preserve the trace of functions/fields if th…

math.NA2026

Discrete Poincare and Bogovskii operators on cochains and Whitney forms

Johnny Guzmán, Anil N. Hirani, Bingyan Liu +1

Smooth Poincare operators are a tool used to show the vanishing of smooth de Rham cohomology on contractible manifolds and have found use in the analysis of finite element methods…