107 citations · 459 across the 39 of their papers we have counts for
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A locally conservative and energy-stable finite element for the Navier--Stokes problem on time-dependent domains
Tamas L. Horvath, Sander Rhebergen
We present a finite element method for the incompressible Navier--Stokes problem that is locally conservative, energy-stable and pressure-robust on time-dependent domains. To achie…
Analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains
Keegan L. A. Kirk, Tamas L. Horvath, Aycil Cesmelioglu +1
This paper presents the first analysis of a space--time hybridizable discontinuous Galerkin method for the advection--diffusion problem on time-dependent domains. The analysis is b…
An embedded--hybridized discontinuous Galerkin finite element method for the Stokes equations
Sander Rhebergen, Garth N. Wells
We present and analyze a new embedded--hybridized discontinuous Galerkin finite element method for the Stokes problem. The method has the attractive properties of full hybridized m…
Preconditioning of a hybridized discontinuous Galerkin finite element method for the Stokes equations
Sander Rhebergen, Garth N. Wells
We present optimal preconditioners for a recently introduced hybridized discontinuous Galerkin finite element discretization of the Stokes equations. Typical of hybridized disconti…