Title

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

Document Type

Article

Publication Date

9-4-2017

Publication Title

Journal of Scientific Computing

Volume

75

Issue

1

First page number:

510

Last page number:

535

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 E, magnetic field H and curlE in the discrete l2 norm when the Maxwell’s equations are solved by both elements. Extensive numerical results are presented to justify our theoretical analysis.

Keywords

High-order rectangular edge element; Superconvergence; Gauss points; Time-harmonic; Maxwell’s equation

Disciplines

Physical Sciences and Mathematics

Language

English


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