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A novel finite element time domain method for nonlinear Maxwell's equations based on the parametric quadratic programming method
Author(s) -
Zhu Bao,
Yang Hongwei,
Chen Jiefu
Publication year - 2015
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.29170
Subject(s) - finite element method , nonlinear system , maxwell's equations , sequential quadratic programming , parametric statistics , mathematics , quadratic equation , convergence (economics) , computation , quadratic programming , time domain , mathematical analysis , computer science , mathematical optimization , algorithm , physics , geometry , statistics , quantum mechanics , economics , thermodynamics , economic growth , computer vision
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