An upwind LDG scheme for the Fokker-Planck-Landau equation that conserves mass, momentum and a projected energy by building the discrete collision kernel from discrete gradients of the projected energy.
Unified analy- sis of discontinuous galerkin methods for elliptic problems.SIAM journal on numerical analysis, 39(5):1749–1779, 2002
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A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation
An upwind LDG scheme for the Fokker-Planck-Landau equation that conserves mass, momentum and a projected energy by building the discrete collision kernel from discrete gradients of the projected energy.