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A posteriori error estimate for the mixed
finite element method

Author: Carsten Carstensen
Journal: Math. Comp. 66 (1997), 465-476
MSC (1991): Primary 65N30, 65R20, 73C50
MathSciNet review: 1408371
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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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Additional Information

Carsten Carstensen
Affiliation: Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Str. 4, D-24098 Kiel, Germany

Keywords: Mixed finite element methods, a~posteriori error estimates, adaptive algorithm
Received by editor(s): September 12, 1995
Received by editor(s) in revised form: May 1, 1996
Article copyright: © Copyright 1997 American Mathematical Society

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