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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
Posted:
June 26, 2006
MathSciNet review:
2240629
Full-text PDF Free Access
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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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Additional Information
Carlo Lovadina
Affiliation:
Dipartimento di Matematica, Università di Pavia and IMATI-CNR, VIa Ferrata 1, Pavia 27100, Italy
Email:
carlo.lovadina@unipv.it
Rolf Stenberg
Affiliation:
Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, 02015 TKK, Finland
Email:
rolf.stenberg@tkk.fi
DOI:
http://dx.doi.org/10.1090/S0025-5718-06-01872-2
PII:
S 0025-5718(06)01872-2
Keywords:
Mixed finite element methods,
a posteriori error estimates,
postprocessing.
Received by editor(s):
October 20, 2004
Received by editor(s) in revised form:
June 7, 2005.
Posted:
June 26, 2006
Additional Notes:
This work has been supported by the European Project HPRN-CT-2002-00284 ``New Materials, Adaptive Systems and their Nonlinearities. Modelling, Control and Numerical Simulation''.
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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