2 citations · 3 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
Discrete Poincaré inequalities: a review on proofs, equivalent formulations, and behavior of constants
Alexandre Ern, Johnny Guzmán, Pratyush Potu +1
We investigate discrete Poincaré inequalities on piecewise polynomial subspaces of the Sobolev spaces H(curl) and H(div) in three space dimensions. We characterize the dependence o…
A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems
Erik Burman, Rebecca Durst, Miguel A. Fernández +2
We consider a parabolic-parabolic interface problem and construct a loosely coupled prediction-correction scheme based on the Robin-Robin splitting method analyzed in [J. Numer. Ma…
Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method
Erik Burman, Rebecca Durst, Miguel A. Fernández +2
We consider a loosely coupled, non-iterative Robin-Robin coupling method proposed and analyzed in [J. Numer. Math., 31(1):59--77, 2023] for a parabolic-parabolic interface problem…