A novel finite element time domain method for nonlinear Maxwell's equations based on the parametric quadratic programming method

ABSTRACT A finite‐element time‐domain method is developed for Maxwell's equations with nonlinear media. Compared with conventional nonlinear numerical methods, the proposed scheme is not based on iterations, but using the quadratic programming method. The nonlinear constitutive relations are tr...

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Bibliographic Details
Published in:Microwave and optical technology letters Vol. 57; no. 7; pp. 1640 - 1645
Main Authors: Zhu, Bao, Yang, Hongwei, Chen, Jiefu
Format: Journal Article
Language:English
Published: New York Blackwell Publishing Ltd 01.07.2015
Wiley Subscription Services, Inc
Subjects:
Convergence
Finite element method
finite-element time-domain method
linear complementarity problem
Mathematical analysis
Mathematical models
Maxwell's equations
Microwaves
nonlinear electromagnetism
Nonlinearity
parametric variational principle
Quadratic programming
ISSN:0895-2477, 1098-2760
Online Access:Get full text
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Summary:ABSTRACT A finite‐element time‐domain method is developed for Maxwell's equations with nonlinear media. Compared with conventional nonlinear numerical methods, the proposed scheme is not based on iterations, but using the quadratic programming method. The nonlinear constitutive relations are treated as a series of linear complementary problems, thus, this scheme presents very good convergence behavior in computation. Numerical results demonstrate the validity of the proposed method. © 2015 Wiley Periodicals, Inc. Microwave Opt Technol Lett 57:1640–1645, 2015
Bibliography:istex:89377B73EBEB54D7A37CF8168A4DD0158EA3E1AA
Fundamental Research Funds of Beijing University of Technology - No. 006000514313003
National Natural Science Foundation of China - No. 11172008; No. 11272020
ark:/67375/WNG-58GQ6PXW-F
ArticleID:MOP29170
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0895-2477
1098-2760
DOI:10.1002/mop.29170