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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 L2approximation 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.
Published on 11/03/21
Submitted on 11/03/21
Volume 700 - Numerical Methods and Algorithms in Science and Engineering, 2021
DOI: 10.23967/wccm-eccomas.2020.314
Licence: CC BY-NC-SA license
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