A posteriori FE error control for p-Laplacian by gradient recovery in quasi-norm
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Abstract:
A posteriori error estimators based on quasi-norm gradient recovery are established for the finite element approximation of the p-Laplacian on unstructured meshes. The new a posteriori error estimators provide both upper and lower bounds in the quasi-norm for the discretization error. The main tools for the proofs of reliability are approximation error estimates for a local approximation operator in the quasi-norm.References
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Additional Information
- Carsten Carstensen
- Affiliation: Humboldt-Universität zu Berlin, Unter den Linden 6, 10099 Berlin, Germany
- Email: cc@math.hu-berlin.de
- W. Liu
- Affiliation: CBS & Institute of Mathematics and Statistics, University of Kent, Canterbury, CT2 7NF, England
- Email: W.B.Liu@ukc.ac.uk
- N. Yan
- Affiliation: Institute of System Sciences, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, People’s Republic of China
- Email: yan@amss.ac.cn
- Received by editor(s): April 16, 2003
- Received by editor(s) in revised form: May 3, 2005
- Published electronically: June 7, 2006
- Additional Notes: Supported by the DFG Research Center MATHEON “Mathematics for key technologies” in Berlin.
- © Copyright 2006 American Mathematical Society
- Journal: Math. Comp. 75 (2006), 1599-1616
- MSC (2000): Primary 65N30, 49J40
- DOI: https://doi.org/10.1090/S0025-5718-06-01819-9
- MathSciNet review: 2240626