59 citations · 143 across the 8 of their papers we have counts for
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physics.comp-ph2019★ 7 cited
Discontinuous Galerkin schemes for a class of Hamiltonian evolution equations with applications to plasma fluid and kinetic problems
A. Hakim, G. Hammett, E. Shi +1
In this paper we present energy-conserving, mixed discontinuous Galerkin (DG) and continuous Galerkin (CG) schemes for the solution of a broad class of physical systems described b…
physics.plasm-ph2019★ 59 cited
Electromagnetic full- gyrokinetics in the tokamak edge with discontinuous Galerkin methods
N. R. Mandell, A. Hakim, G. W. Hammett +1
We present an energy-conserving discontinuous Galerkin scheme for the full- electromagnetic gyrokinetic system in the long-wavelength limit. We use the symplectic formulation an…
physics.comp-ph2019★ 45 cited
Conservative Discontinuous Galerkin Schemes for Nonlinear Fokker-Planck Collision Operators
Ammar Hakim, M. Francisquez, J. Juno +1
We present a novel discontinuous Galerkin algorithm for the solution of a class of Fokker-Planck collision operators. These operators arise in many fields of physics, and our parti…