Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods

@article{Vohralk2010UnifiedPF,
  title={Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods},
  author={Martin Vohral{\'i}k},
  journal={Math. Comput.},
  year={2010},
  volume={79},
  pages={2001-2032}
}
We derive in this paper a unified framework for a priori and a posteriori error analysis of mixed finite element discretizations of second-order elliptic problems. It is based on the classical primal weak formulation, the postprocessing of the potential proposed in [T. Arbogast and Z. Chen, On the implementation of mixed methods as nonconforming methods for second-order elliptic problems, Math. Comp. 64 (1995), 943–972], and the discrete Friedrichs inequality. Our analysis in particular avoids… CONTINUE READING

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