A posteriori error estimate for the mixed finite element method

Carstensen, Carsten

doi:10.1090/S0025-5718-97-00837-5

A posteriori error estimate for the mixed finite element method
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Math. Comp. 66 (1997), 465-476 Request permission

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,$\Omega$) $\times L^2(\Omega )$–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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