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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.NA2025

A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms

Johnny Guzmán, Pratyush Potu

We provide a framework for interpreting Discrete Exterior Calculus (DEC) numerical schemes in terms of Finite Element Exterior Calculus (FEEC). We demonstrate the equivalence of co…

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…