# A Unified Analysis of Quasi-Optimal Convergence for Adaptive Mixed Finite Element Methods

@article{Hu2016AUA, title={A Unified Analysis of Quasi-Optimal Convergence for Adaptive Mixed Finite Element Methods}, author={Jun Hu and Guozhu Yu}, journal={SIAM J. Numer. Anal.}, year={2016}, volume={56}, pages={296-316} }

In this paper, we present a unified analysis of both convergence and optimality of adaptive mixed finite element methods for a class of problems when the finite element spaces and corresponding a posteriori error estimates under consideration satisfy five hypotheses. We prove that these five conditions are sufficient for convergence and optimality of the adaptive algorithms under consideration. The main ingredient for the analysis is a new method to analyze both discrete reliability and quasi…

## 17 Citations

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