Spatial approximation of the transport equation on triangle grid by the linear discontinuous finite element method

The Discontinuous Finite Element Method (DFEM) is considered for solving the transport equation on triangular grid, in which the Galerkin spatial approximation with linear base functions is used. It is proposed the comparison of the numerical solution of two test problems obtained by the DFEM on triangular grid and Diamond Differencing scheme and Linear Nodal method on rectangular grid with the analytical solution.