740 citations · 1.8k across the 28 of their papers we have counts for
29 papers
Algorithm XXXX: Computation of finite element degree-of-freedom transformation matrices
Matthew W. Scroggs, Garth N. Wells
The arithmetic intensity of algorithms for computing finite element operators increases with increasing polynomial degree. This has made high degree methods particularly attractive…
Design and analysis of an exactly divergence-free hybridized discontinuous Galerkin method for incompressible flows on meshes with quadrilateral cells
Joseph P. Dean, Sander Rhebergen, Garth N. Wells
We generalise a hybridized discontinuous Galerkin method for incompressible flow problems to non-affine cells, showing that with a suitable element mapping the generalised method p…
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…
Accelerating frequency-domain numerical methods for weakly nonlinear focused ultrasound using nested meshes
Samuel P. Groth, Pierre Gélat, Seyyed R. Haqshenas +4
The numerical simulation of weakly nonlinear ultrasound is important in treatment planning for focused ultrasound (FUS) therapies. However, the large domain sizes and generation of…