2 citations · 2 across the 5 of their papers we have counts for
7 papers
Adaptive Sparse-grid Discontinuous Galerkin Approximations to the Bhatnagar--Gross--Krook Model
Stefan Schnake, Miroslav Stoyanov, Eirik Endeve +1
This work studies adaptive sparse-grid discontinuous Galerkin (DG) discretizations for the Bhatnagar--Gross--Krook (BGK) model, a kinetic equation posed in four- and six-dimensiona…
Sweep-based, implicit solutions of the multidimensional BGK equation on unstructured grids
Thomas M. Evans, Ryan Glasby, Cory Hauck +4
We present a nodal discontinuous Galerkin method for solving the Bhatnagar-Gross-Krook (BGK) kinetic equation on multi-dimensional, unstructured grids. The method uses implicit, sw…
On high-order/low-order and micro-macro methods for implicit time-stepping of the BGK model
Cory Hauck, M. Paul Laiu, Stefan Schnake
In this paper, a high-order/low-order (HOLO) method is combined with a micro-macro (MM) decomposition to accelerate iterative solvers in fully implicit time-stepping of the BGK equ…
Sparse-grid Discontinuous Galerkin Methods for the Vlasov-Poisson-Lenard-Bernstein Model
Stefan Schnake, Coleman Kendrick, Eirik Endeve +6
Sparse-grid methods have recently gained interest in reducing the computational cost of solving high-dimensional kinetic equations. In this paper, we construct adaptive and hybrid…
A semi-implicit dynamical low-rank discontinuous Galerkin method for space homogeneous kinetic equations. Part I: emission and absorption
Peimeng Yin, Eirik Endeve, Cory D. Hauck +1
Dynamical low-rank approximation (DLRA) is an emerging tool for reducing computational costs and provides memory savings when solving high-dimensional problems. In this work, we pr…
A Predictor-Corrector Strategy for Adaptivity in Dynamical Low-Rank Approximations
Cory Hauck, Stefan Schnake
In this paper, we present a predictor-corrector strategy for constructing rank-adaptive dynamical low-rank approximations (DLRAs) of matrix-valued ODE systems. The strategy is a co…
Asymptotic Preserving Discontinuous Galerkin Methods for a Linear Boltzmann Semiconductor Model
Victor DeCaria, Cory Hauck, Stefan Schnake
A key property of the linear Boltzmann semiconductor model is that as the collision frequency tends to infinity, the phase space density converges to an isotropic fu…