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.
A posteriori error estimates for Maxwell's eigenvalue problem
D Boffi;L Gastaldi;
2019
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.File in questo prodotto:
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Descrizione: A posteriori error estimates for Maxwell's eigenvalue problem
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Descrizione: A posteriori error estimates for Maxwell's eigenvalue problem
Tipologia:
Versione Editoriale (PDF)
Dimensione
1.1 MB
Formato
Adobe PDF
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1.1 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
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