740 citations · 1.8k across the 28 of their papers we have counts for
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Analysis of pressure-robust embedded-hybridized discontinuous Galerkin methods for the Stokes problem under minimal regularity
Aaron Baier-Reinio, Sander Rhebergen, Garth N. Wells
We present analysis of two lowest-order hybridizable discontinuous Galerkin methods for the Stokes problem, while making only minimal regularity assumptions on the exact solution.…
Preconditioning for a pressure-robust HDG discretization of the Stokes equations
Sander Rhebergen, Garth N. Wells
We introduce a new preconditioner for a recently developed pressure-robust hybridized discontinuous Galerkin (HDG) finite element discretization of the Stokes equations. A feature…
Construction of arbitrary order finite element degree-of-freedom maps on polygonal and polyhedral cell meshes
Matthew W. Scroggs, Jørgen S. Dokken, Chris N. Richardson +1
We develop a method for generating degree-of-freedom maps for arbitrary order finite element spaces for any cell shape. The approach is based on the composition of permutations and…