We present a unified a posteriori error analysis for hybridizable discontinuous Galerkin methods for second order elliptic partial differential equations. The main feature of this analysis is that it reduces the task of establishing the reliability and efficiency of the estimator to the verification of three simple conditions. This approach allows us not only to derive new estimates for hybridizable discontinuous Galerkin methods but also to recover well-known a posteriori error estimates for mixed methods and for the continuous Galerkin method.
- A posteriori error analysis
- Discontinuous Galerkin methods