期刊：
SCIENCE IN CHINA SERIES A-MATHEMATICS,2008年51(8):1537-1548 ISSN：1006-9283
通讯作者：
Shu Shi
作者机构：
[Shu Shi; Zhong LiuQiang] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.;[Shu Shi; Zhong LiuQiang] Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China.;[Sun Dudu] Chinese Acad Sci, Grad Univ, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China.;[Tan Lin] Nanhua Univ, Dept Math Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Shu Shi] X;Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.
会议名称：
8th National Conference on Computational Mathematics
会议时间：
OCT 25-29, 2007
会议地点：
Sichuan Univ, Sichuan, PEOPLES R CHINA
会议主办单位：
[Zhong LiuQiang;Shu Shi] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.^[Zhong LiuQiang;Shu Shi] Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China.^[Sun Dudu] Chinese Acad Sci, Grad Univ, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China.^[Tan Lin] Nanhua Univ, Dept Math Phys, Hengyang 421001, Peoples R China.
关键词：
preconditioner;higher order edge finite element;stable decomposition
摘要：
In this paper, we are concerned with the fast solvers for higher order edge finite element discretizations of Maxwell’s equations. We present the preconditioners for the first family and second family of higher order Nédélec element equations, respectively. By combining the stable decompositions of two kinds of edge finite element spaces with the abstract theory of auxiliary space preconditioning, we prove that the corresponding condition numbers of our preconditioners are uniformly bounded on quasi-uniform grids. We also present some numerical experiments to demonstrate the theoretical results.
摘要：
Based on an equivalent resistance-capacitance (RC) network, we investigate theoretically the complex permittivity and microwave absorption properties of carbon nanotubes (CNTs)/polymer composite in the frequency range of 50 MHz-3 GHz using the logarithmic mixing rule. Both the real and imaginary parts of the permittivities of CNTs and polymer are considered in detail. The simulated results show that the real and imaginary permittivities of the composite increase explicitly with increasing volume fraction of CNTs, and the latter is more sensitive. The calculated complex permittivity spectra of the composite are in good agreement with the available experimental data. In addition, a good linear relationship between microwave absorbance and frequency is found. (C) 2008 Elsevier B.V. All rights reserved.
关键词：
single wall carbon nanotubes;composite;microwave;complex conductivity;complex permittivity
摘要：
Based on an equivalent resistance-capacitance network, the complex conductivity and the relative complex permittivity of single wall carbon nanotubes （SWNTs）/polymer composite are theoretically investigated in the frequency range of 0.30-18 GHz using the logarithmic rule. Both the real and imaginary parts of the permittivities of SWNTs and polymer are considered in detail. The calculated complex permittivity spectra of SWNTs/poly（ethyl methacrylate） composite films are in good agreement with the available experimental data. The influences of SWNTs concentration on both the complex conductivity and the dielectric loss tangent of the composite are presented in the microwave frequency range. A linear relationship between microwave conductivity and frequency is found.
