A Posteriori Error Estimates for Maxwell’s Eigenvalue Problem

Daniele Boffi, Lucia Gastaldi, Rodolfo Rodríguez, Ivana Šebestová

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5 Scopus citations

Abstract

We introduce a residual error indicator for the Nédélec finite element approximation of the eigenmodes of the Maxwell cavity problem. By using the known equivalence with a mixed problem we prove reliability and efficiency of the error indicator. Numerical results confirm the optimal behavior of an adaptive scheme based on the error indicator.
Original languageEnglish (US)
Pages (from-to)1250-1271
Number of pages22
JournalJournal of Scientific Computing
Volume78
Issue number2
DOIs
StatePublished - Feb 15 2019
Externally publishedYes

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