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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

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math.NA2026

A symmetric counterexample to Strang's conjecture for bivariate cubic splines on triangulations

Pratyush Potu

We exhibit a triangulation of an equilateral triangle for which the space of bivariate cubic splines has dimension larger than the dimension formula conjectured by Strang. No…

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…