A Conservative DGM for Convection-Diffusion and Navier-Stokes Problems

An hp—adaptive conservative Discontinuous Galerkin Method for the solution of convection-diffusion problems is reviewed. A distinctive feature of this method is the treatment of diffusion terms with a new variational formulation. This new variational formulation is not based on mixed formulations, thus having the advantage of not using flux vairables or extended stencils and/or global matrices’ bandwidth when the flux variables are statically condensed at element level.

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