Abstract
We present a local error indicator for the Mimetic Finite Difference method for diffusion-type problems on polyhedral meshes. Under essentially the same general hypotheses used in (SIAM J. Numer. Anal. 43:1872–1896, 2005) to show the convergence of the method, we prove the global reliability and local efficiency of the proposed estimator.
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Beirão da Veiga, L. A residual based error estimator for the Mimetic Finite Difference method. Numer. Math. 108, 387–406 (2008). https://doi.org/10.1007/s00211-007-0126-6
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DOI: https://doi.org/10.1007/s00211-007-0126-6