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.
An a priori error analysis of the local discontinuous galerkin method for elliptic problems.SIAM Journal on Numerical Analysis, 38(5):1676–1706, 2000
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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.