Continuous finite-elements on non-conforming grids using discontinuous Galerkin stabilization

Abstract

In this paper we present a new idea to stabilize Continuous Galerkin Schemes on gridswith hanging nodes by usingDiscontinuous Galerkin (DG) approximations. We derive an a posteriori error estimate for a class ofDGschemes including the CDG and CDG2 methods and apply this to standard test cases for CG methods such a the reentrant corner.