  We propose an efficient variant of a primal Discontinuous Galerkin method
with interior penalty for the second order elliptic equations on very general
meshes (polytopes with eventually curved boundaries). Efficiency, especially
when higher order polynomials are used, is achieved by static condensation,
i.e. a local elimination of certain degrees of freedom element by element. This
alters the original method in a way that preserves the optimal error estimates.
Numerical experiments confirm that the solutions produced by the new method are
indeed very close to that produced by the classical one.
