20 citations · 41 across the 5 of their papers we have counts for
5 papers
An unconditionally stable hybridizable-embedded discontinuous Galerkin method for the phase field crystal equation
Giselle Saylor, Tamas L. Horvath, Natasha S. Sharma
This paper presents a first-order convex splitting hybridizable/embedded discontinuous Galerkin method for the phase field crystal equation written in mixed form. Since the sixth-o…
A conforming sliding mesh technique for an embedded-hybridized discontinuous Galerkin discretization for fluid-rigid body interaction
Tamas L. Horvath, S. Rhebergen
In (J. Comput. Phys., 417, 109577, 2020) we introduced a space-time embedded-hybridizable discontinuous Galerkin method for the solution of the incompressible Navier-Stokes equatio…
An exactly mass conserving space-time embedded-hybridized discontinuous Galerkin method for the Navier-Stokes equations on moving domains
Tamas L. Horvath, Sander Rhebergen
This paper presents a space-time embedded-hybridized discontinuous Galerkin (EHDG) method for the Navier--Stokes equations on moving domains. This method uses a different hybridiza…
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…