On the relation of the Embedded Discontinuous Galerkin method to the stabilized residual-based finite element methods

摘要

The paper traces the relation between the Embedded Discontinuous Galerkin method and the Streamline Upwind Petrov-Galerkin method and its generalizations, such as the Discontinuous Residual-free Bubble method, for the Euler and Navier-Stokes equations. Popular choices of the stabilization terms for both discretizations are related on the analytical level. The conservation property of the Embedded Discontinuous Galerkin discretization on dual volumes of the computational grid is established.