AN ADAPTIVE EDGE FINITE ELEMENT METHOD FOR THE MAXWELL'S EQUATIONS IN METAMATERIALS

被引：6

作者：

Wang, Hao ^{[1
]}

Yang, Wei ^{[1
]}

Huang, Yunqing ^{[2
]}

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China

[2] Xiangtan Univ, Sch Math & Computat Sci, Minist Educ, Key Lab Intelligent Comp & Informat Proc, Xiangtan 411105, Hunan, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2020年 / 28卷 / 02期

关键词：

Maxwell's equations; wave source terms; a-posteriori error estimator; adaptive edge finite element method; metamaterial media; QUASI-STATIC APPROXIMATION; ERROR ESTIMATORS; WAVE-PROPAGATION; RECOVERY; CLOAKING; SCATTERING; RESONANCE; FULL;

D O I：

10.3934/era.2020051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study an adaptive edge finite element method for time-harmonic Maxwell's equations in metamaterials. A-posteriori error estimators based on the recovery type and residual type are proposed, respectively. Based on our a-posteriori error estimators, the adaptive edge finite element method is designed and applied to simulate the backward wave propagation, electromagnetic splitter, rotator, concentrator and cloak devices. Numerical examples are presented to illustrate the reliability and efficiency of the proposed a-posteriori error estimations for the adaptive method.

引用

页码：961 / 976

页数：16

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