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 residual based error estimator for the Mimetic Finite Difference method / L. Beirao da Veiga. - In: NUMERISCHE MATHEMATIK. - ISSN 0029-599X. - 108:3(2008), pp. 387-406.
A residual based error estimator for the Mimetic Finite Difference method
L. Beirao da VeigaPrimo
2008
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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