Posteriori Error Estimation for a New Stabilized Discontinuous Galerkin Method

摘要

In recent years, several variations of the Discontinuous Galerkin Methods (DGM), for second order elliptic boundary value problems have been proposed which exhibit special convergence, conservation and local approximation properties attractive for parallel adaptive hp-approximations. An account of several types of DGM's can be found in the book edited by Cockburn, Karniadakis and Shu.