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Journal of Scientific Computing

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05-09-2018

Superconvergence Analysis and PPR Recovery of Arbitrary Order Edge Elements for Maxwell’s Equations

Authors: Lixiu Wang, Qian Zhang, Zhimin Zhang

Published in: Journal of Scientific Computing | Issue 2/2019

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Abstract

In this article, we propose a practical scheme for constructing global superconvergent approximations for Maxwell’s equations in both two and three dimensions. Superconvergence of order \(O(h^{p+1})\) is established in a discrete norm. This superconvergence result, combined with the polynomial-preserving recovery postprocessing technique, leads to global superconvergence of order \(O(h^{p+1})\) for recovered quantities in energy norms. Numerical experiments are provided to confirm our theoretical findings.

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Title: Superconvergence Analysis and PPR Recovery of Arbitrary Order Edge Elements for Maxwell’s Equations
Authors: Lixiu Wang
Qian Zhang
Zhimin Zhang
Publication date: 05-09-2018
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 2/2019
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-018-0805-8

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