A quick tutorial on DG methods for elliptic problems

In this paper we recall a few basic definitions and results concerning the use of DG methods for elliptic problems. As examples we consider the Poisson problem and the linear elasticity problem. A hint on the nearly incompressible case is given, just to show one of the possible advantages of DG methods over continuous ones. At the end of the paper we recall some physical principles for linear elasticity problems, just to open the door towards possible new developments.