TY - GEN
T1 - Some remarks on the a posteriori error analysis of the mixed laplace eigenvalue problem
AU - Bertrand, Fleurianne
AU - Boffi, Daniele
AU - Gedicke, Joscha
AU - Khan, Arbaz
N1 - 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.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/674893
UR - https://www.scipedia.com/public/Bertrand_et_al_2021a
UR - http://www.scopus.com/inward/record.url?scp=85122062122&partnerID=8YFLogxK
U2 - 10.23967/wccm-eccomas.2020.314
DO - 10.23967/wccm-eccomas.2020.314
M3 - Conference contribution
SP - 1
EP - 10
BT - 14th WCCM-ECCOMAS Congress
PB - CIMNE
ER -