Discontinuous Galerkin methods for magnetic advection-diffusion problems

  title={Discontinuous Galerkin methods for magnetic advection-diffusion problems},
  author={Jin-Der Wang and Shuonan Wu},
. We devise and analyze a class of the primal discontinuous Galerkin methods for the magnetic advection-diffusion problems based on the weighted-residual approach. In addition to the upwind stabilization, we find a new mechanism under the vector case that provides more flexibility in constructing the schemes. For the more general Friedrichs system, we show the stability and optimal error estimate, which boil down to two core ingredients – the weight function and the special projection – that… 

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