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.
BEIRAO DA VEIGA, L., Mora, D. (2011). A mimetic discretization of the Reissner-Mindlin plate bending problem. NUMERISCHE MATHEMATIK, 117(3), 425-462 [10.1007/s00211-010-0358-8].
A mimetic discretization of the Reissner-Mindlin plate bending problem
BEIRAO DA VEIGA, LOURENCOPrimo
;
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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