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We consider mixed nite element discretizations of linear second order elliptic boundary value problems with respect to an adaptively generated hierarchy of possibly highly nonuniform simplicial triangulations. In particu- lar, we present and analyze four dierent kinds of error estimators: a residual based estimator, a hierarchical one, error estimators relying on the solution of local subproblems and on a superconvergence result, respectively. Finally, we examine the relationship between the presented error estimators and compare their local components.

A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements