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 Veiga
Primo
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.
65N30
Settore MAT/08 - Analisi Numerica
2008
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/48599
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