On the design of discontinuous Galerkin methods for elliptic problems based on hybrid formulations
Design of discontinuous Galerkin methods for elliptic problems based on hybrid three-field formulations. Approximation of fluxes and traces to obtain a problem posed in term of the primal unknown. Application to four elliptic problems: convectiondiffusion, Stokes, Maxwell and Darcy. Justification of some known methods (particularly interior penalty) with some non-standard features (harmonic average of physical properties).
discontinuous galerkin elliptic problems hybrid formulations stabilized finite element methods