Energy norm a posteriori error estimates for mixed finite element methods

Lovadina, Carlo; Stenberg, Rolf

doi:10.1090/S0025-5718-06-01872-2

Energy norm a posteriori error estimates for mixed finite element methods

Authors: Carlo Lovadina and Rolf Stenberg
Journal: Math. Comp. 75 (2006), 1659-1674
MSC (2000): Primary 65N30
DOI: https://doi.org/10.1090/S0025-5718-06-01872-2
Published electronically: June 26, 2006
MathSciNet review: 2240629
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Abstract: This paper deals with the a posteriori error analysis of mixed finite element methods for second order elliptic equations. It is shown that a reliable and efficient error estimator can be constructed using a postprocessed solution of the method. The analysis is performed in two different ways: under a saturation assumption and using a Helmholtz decomposition for vector fields.

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