372 citations · 1.4k across the 57 of their papers we have counts for
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math.NA2024
The eXtended Virtual Element Method for elliptic problems with weakly singular solutions
Jerome Droniou, Gianmarco Manzini, Liam Yemm
This paper introduces a novel eXtended virtual element method, an extension of the conforming virtual element method. The XVEM is formulated by incorporating appropriate enrichment…
math.NA2024
A pressure-robust Discrete de Rham scheme for the Navier-Stokes equations
Daniele A. Di Pietro, Jerome Droniou, Jia Jia Qian
In this work we design and analyse a Discrete de Rham (DDR) method for the incompressible Navier-Stokes equations. Our focus is, more specifically, on the SDDR variant, where a red…