10 citations · 14 across the 5 of their papers we have counts for
6 papers
A Local Macroscopic Conservative Low-Rank Discontinuous Galerkin Method for the Vlasov-Poisson Equation with Dougherty-Fokker-Planck Collisions
Austin Nelson, Wei Guo, Pierson Guthrey
In this paper, we construct a low-rank, structure preserving discontinuous Galerkin (DG) method to simulate the Vlasov-Poisson (VP) system coupled with the Dougherty Fokker-Planck…
Efficient SN-like and PN-like Dynamic Low Rank methods for Thermal Radiative Transfer
Terry Haut, John Loffeld, Lukas Einkemmer +3
Dynamic Low Rank (DLR) methods are a promising way to reduce the computational cost and memory footprint of the high-dimensional thermal radiative transfer (TRT) equations. The TRT…
Parallel Scaling of the Regionally-Implicit Discontinuous Galerkin Method with Quasi-Quadrature-Free Matrix Assembly
Andrew J. Christlieb, Pierson T. Guthrey, James A. Rossmanith
In this work we investigate the parallel scalability of the numerical method developed in Guthrey and Rossmanith [The regionally implicit discontinuous Galerkin method: Improving t…
Parallel Algorithms for Successive Convolution
Andrew J. Christlieb, Pierson T. Guthrey, William A. Sands +1
In this work, we consider alternative discretizations for PDEs which use expansions involving integral operators to approximate spatial derivatives. These constructions use explici…
The Regionally-Implicit Discontinuous Galerkin Method: Improving the Stability of DG-FEM
Pierson T. Guthrey, James A. Rossmanith
Discontinuous Galerkin (DG) methods for hyperbolic partial differential equations (PDEs) with explicit time-stepping schemes, such as strong stability-preserving Runge-Kutta (SSP-R…
Atomic form factor for twisted vortex photons interacting with atoms
Pierson Guthrey, Lev Kaplan, J. H. McGuire
The relatively new atomic form factor for twisted (vortex) beams, which carry orbital angular momentum (OAM), is considered and compared to the conventional atomic form factor for…