Discontinuous Galerkin

From CFD-Wiki

The discontinuous Galerkin (DG) method is often referred to as a hybrid, or mixed, method since it combines features of both finite element and finite volume methods. The solution is represented within each element as a polynomial approximation (as in FEM), while the interelement convection terms are resolved with upwinded numerical flux formulas (as in FVM). Theoretically, solutions may be obtained to an arbitrarily high order-of-accuracy.