37 citations · 125 across the 22 of their papers we have counts for
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math.NA2021★ 37 cited
Arbitrary-order pressure-robust DDR and VEM methods for the Stokes problem on polyhedral meshes
Lourenço Beirão da Veiga, Franco Dassi, Daniele A. Di Pietro +1
This paper contains two major contributions. First we derive, following the discrete de Rham (DDR) and Virtual Element (VEM) paradigms, pressure-robust methods for the Stokes equat…
math.NA2021
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property
L. Beirao da Veiga, C. Canuto, R. H. Nochetto +2
In the present paper we initiate the challenging task of building a mathematically sound theory for Adaptive Virtual Element Methods (AVEMs). Among the realm of polygonal meshes, w…