A Posteriori Error Analysis of Hybridized Mixed Finite Element Methods for Second Order Elliptic Boundary Value Problems
- The mixed hybrid finite element approximation of second order elliptic boundary value problems by hybridized Raviart-Thomas elements of any order can be seen as a nonconforming approximation of the primal mixed formulation of the problem. In this paper, we provide a unified framework for the a posteriori error analysis in terms of residual-type a posteriori error estimators consisting of element and face (edge) residuals. This unified framework allows to establish the reliability of the error estimators on the basis of appropriate interpolation operators as well as suitable reconstruction operators.
