A posteriori error estimate for the mixed finite element method

Carsten Carstensen

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Source: Crossref

Published: Jan 1, 1997

DOI: 10.1090/s0025-5718-97-00837-5

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Source abstract

A computable error bound for mixed finite element methods is established in the model case of the Poisson–problem to control the error in the H(div, Ω \Omega ) × L 2 ( Ω ) \times L^2(\Omega ) –norm. The reliable and efficient a posteriori error estimate applies, e.g., to Raviart–Thomas, Brezzi-Douglas-Marini, and Brezzi-Douglas-Fortin-Marini elements.

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