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

Abstract

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
PublisherCIMNE
Pages1-10
Number of pages10
DOIs
StatePublished - 2021

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