Energy-conserving discontinuous Galerkin methods for the Vlasov-Ampère system with Dougherty-Fokker-Planck collision operator
This paper develops energy-preserving discontinuous Galerkin (DG) methods for the Vlasov-
Ampère (VA) system coupled with the Dougherty-Fokker-Planck (DFP) collision operator …
Ampère (VA) system coupled with the Dougherty-Fokker-Planck (DFP) collision operator …
An efficient energy conserving semi-Lagrangian kinetic scheme for the Vlasov-Ampère system
In this paper, we present a novel kinetic scheme termed the Energy Conserving Semi-
Lagrangian (ECSL) for the Vlasov-Ampère system. The novelty of the ECSL is that it retains …
Lagrangian (ECSL) for the Vlasov-Ampère system. The novelty of the ECSL is that it retains …
[HTML][HTML] Physics-based adaptivity of a spectral method for the Vlasov–Poisson equations based on the asymmetrically-weighted Hermite expansion in velocity space
We propose a spectral method for the 1D-1V Vlasov–Poisson system where the
discretization in velocity space is based on asymmetrically-weighted Hermite functions …
discretization in velocity space is based on asymmetrically-weighted Hermite functions …
[HTML][HTML] Anti-symmetric and positivity preserving formulation of a spectral method for Vlasov-Poisson equations
We analyze the anti-symmetric properties of a spectral discretization for the one-dimensional
Vlasov-Poisson equations. The discretization is based on a spectral expansion in velocity …
Vlasov-Poisson equations. The discretization is based on a spectral expansion in velocity …
A new approach to the evaluation and solution of the relativistic kinetic dispersion relation and verification with continuum kinetic simulation
WJ Arrighi, JW Banks, RL Berger, T Chapman… - Journal of …, 2024 - Elsevier
The present work describes a new approach to evaluation and root finding for the kinetic
dispersion relation of Langmuir waves, which is central to the analytical understanding of …
dispersion relation of Langmuir waves, which is central to the analytical understanding of …
A-priori and a-posteriori error estimates for discontinuous Galerkin method of the Maxwell eigenvalue problem
J Zhang, Z Luo, J Han, H Chen - Computers & Mathematics with …, 2024 - Elsevier
This paper is devoted to a-priori and a-posteriori error analysis of discontinuous Galerkin
(DG) method for the Maxwell eigenvalue problem. The discrete compactness of DG space is …
(DG) method for the Maxwell eigenvalue problem. The discrete compactness of DG space is …
An energy-conserving Fourier particle-in-cell method with asymptotic-preserving preconditioner for Vlasov-Ampère system with exact curl-free constraint
We present an efficient and accurate energy-conserving implicit particle-in-cell (PIC)
algorithm for the electrostatic Vlasov system, with particular emphasis on its high robustness …
algorithm for the electrostatic Vlasov system, with particular emphasis on its high robustness …
Energy-Preserving/Group-Preserving Schemes for Depicting Nonlinear Vibrations of Multi-Coupled Duffing Oscillators
In the paper, we first develop a novel automatically energy-preserving scheme (AEPS) for
the undamped and unforced single and multi-coupled Duffing equations by recasting them …
the undamped and unforced single and multi-coupled Duffing equations by recasting them …
Kinetic Simulations of Relativistic Vlasov Systems
J Gorman - 2024 - search.proquest.com
This thesis presents high-order discretization techniques for the relativistic continuum kinetic
Vlasov equation in up to 6D phase space. These algorithms have been implemented in the …
Vlasov equation in up to 6D phase space. These algorithms have been implemented in the …