Some remarks on the a posteriori error analysis of the mixed laplace eigenvalue problem

Fleurianne Bertrand, Daniele Boffi, Joscha Gedicke, Arbaz Khan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


In this note we consider the a posteriori error analysis of mixed finite element approximations to the Laplace eigenvalue problem based on local postprocessing. The estimator makes use of an improved L2 approximation for the Raviart-Thomas (RT) and Brezzi-Douglas-Marini (BDM) finite element methods. For the BDM method we also obtain improved eigenvalue convergence for postprocessed eigenvalues. We verify the theoretical results in several numerical examples.
Original languageEnglish (US)
Title of host publication14th WCCM-ECCOMAS Congress
Number of pages10
StatePublished - 2021

Bibliographical note

KAUST Repository Item: Exported on 2022-01-11
Acknowledgements: Fleurianne Bertrand gratefully acknowledges support by the German Research Foundation (DFG) in the Priority Programme SPP 1748 Reliable simulation techniques in solid mechanics under grant number BE6511/1-1. Daniele Boffi is member of the INdAM Research group GNCS and his research is partially supported by IMATI/CNR and by PRIN/MIUR. Arbaz Khan has been supported by the faculty initiation grant MTD/FIG/100878 and Serb Matrics grant MTR/2020/000303.


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