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Erschienen in: Journal of Scientific Computing 1/2018

04.09.2017

Superconvergence Analysis of High-Order Rectangular Edge Elements for Time-Harmonic Maxwell’s Equations

verfasst von: Ming Sun, Jichun Li, Peizhen Wang, Zhimin Zhang

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2018

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Abstract

In this paper, high-order rectangular edge elements are used to solve the two dimensional time-harmonic Maxwell’s equations. Superconvergence for the Nédélec interpolation at the Gauss points is proved for both the second and third order edge elements. Using this fact, we obtain the superconvergence results for the electric field \(\mathbf {E}\), magnetic field H and \(curl\mathbf {E}\) in the discrete \(l^2\) norm when the Maxwell’s equations are solved by both elements. Extensive numerical results are presented to justify our theoretical analysis.

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Metadaten
Titel
Superconvergence Analysis of High-Order Rectangular Edge Elements for Time-Harmonic Maxwell’s Equations
verfasst von
Ming Sun
Jichun Li
Peizhen Wang
Zhimin Zhang
Publikationsdatum
04.09.2017
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 1/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-017-0544-2

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