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.
A mimetic discretization of the Reissner-Mindlin plate bending problem / L. Beirao da Veiga, D. Mora. - In: NUMERISCHE MATHEMATIK. - ISSN 0029-599X. - 117:3(2011), pp. 425-462.
A mimetic discretization of the Reissner-Mindlin plate bending problem
L. Beirao da Veiga;
2011
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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