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Superconvergence Analysis of Gradient Recovery Method for TM Model of Electromagnetic Scattering in the Cavity

Part of: Partial differential equations, boundary value problems

Published online by Cambridge University Press:  17 January 2017

Shanghui Jia ,
Changhui Yao  and
Hehu Xie
Shanghui Jia*
Affiliation:
School of Statistic and Mathematics, Central University of Finance and Economics, Beijing 100081, China
Changhui Yao*
Affiliation:
School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, Henan 450001, China
Hehu Xie*
Affiliation:
LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
*
*Corresponding author. Email:shjia@lsec.cc.ac.cn (S. H. Jia), chyao@lsec.cc.ac.cn (C. H. Yao), hhxie@lsec.cc.ac.cn (H. H. Xie)
*Corresponding author. Email:shjia@lsec.cc.ac.cn (S. H. Jia), chyao@lsec.cc.ac.cn (C. H. Yao), hhxie@lsec.cc.ac.cn (H. H. Xie)
*Corresponding author. Email:shjia@lsec.cc.ac.cn (S. H. Jia), chyao@lsec.cc.ac.cn (C. H. Yao), hhxie@lsec.cc.ac.cn (H. H. Xie)
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Abstract

In this paper, we consider the transform magnetic (TM) model of electromagnetic scattering in the cavity. By the Polynomial Preserving Recovery technique, we present superconvergence analysis for the vertex-edge-face type finite element. From the numerical example, we can see that the provided method is efficient and stable.

Keywords

ScatteringcavityTM modelgradient recovery methodsuperconvergence

MSC classification

Secondary: 65N06: Finite difference methods 65N22: Solution of discretized equations
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 3 , June 2017 , pp. 543 - 553
Copyright
Copyright © Global-Science Press 2017 

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