We present a novel framework for finite element particle-in-cell methods based on the
discretization of the underlying Hamiltonian structure of the Vlasov–Maxwell system. We …

A three-dimensional mixed modal discontinuous Galerkin (DG) method based on tetrahedral
meshes was developed for simulating all flow regimes from subsonic to hypersonic rarefied …

This paper develops energy-preserving discontinuous Galerkin (DG) methods for the Vlasov-
Ampère (VA) system coupled with the Dougherty-Fokker-Planck (DFP) collision operator …

The present paper deals with the development of a numerical scheme for the solution of two-
dimensional Boltzmann transport equation (BTE) under electronic nonequilibrium …

We introduce an extension of the particle-in-cell (PIC) method that captures the Landau
collisional effects in the Vlasov-Maxwell-Landau equations. The method arises from a …

We present a novel framework for addressing the nonlinear Landau collision integral in
terms of finite element and other subspace projection methods. We employ the underlying …

In this paper, we develop a sparse grid discontinuous Galerkin (DG) scheme for transport
equations and apply it to kinetic simulations. The method uses the weak formulations of …

We discuss the development, analysis, implementation, and numerical assessment of a
spectral method for the numerical simulation of the three-dimensional Vlasov–Maxwell …

This paper concerns an energy-conserving numerical method to solve the multi-dimensional
Vlasov-Maxwell (VM) system based on the regularized moment method proposed in [7]. The …

A physics-based-adaptive plasma model and an appropriate computational algorithm are
developed to numerically simulate plasma phenomena in high fidelity. The physics-based …