weak form of an equation by continuous discontinuous galerkin method

If we have the weak form of an equation like Poisson equation with discontinuous Galerkin method, to get the weak form of continuous discontinuous Galerkin method what terms are changed? Is it true if just remove the term contained $[u][v]$ in the following: $$a(u,v)= (f,v)$$ where$$a(u,v)=\sum_{T \in \cal T}(\nabla u, \nabla v)_T-\sum_{E \in \cal \partial T}(<n.\nabla u>, [v])_E-(n.\nabla u,v)_{\partial \Omega}+\alpha \sum_{E \in \cal \partial T}([u], <n.\nabla v>)_E+\alpha (u-g,n.\nabla v)_{\partial \Omega}+\sum _{E \in \cal \partial T}\beta h^{-1}([u],[v])_E+ \beta h^{-1}([u-g],[v])_{\partial \Omega}$$