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Decomposition methods for time‐domain Maxwell's equations
Author(s) -
Huang ZhiXiang,
Sha Wei,
Wu XianLiang,
Chen MingSheng
Publication year - 2007
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1569
Subject(s) - maxwell's equations , domain decomposition methods , mathematics , decomposition method (queueing theory) , numerical analysis , mathematical analysis , numerical stability , exponential function , decomposition , stability (learning theory) , finite element method , physics , computer science , discrete mathematics , thermodynamics , ecology , machine learning , biology
Decomposition methods based on split operators are proposed for numerical integration of the time‐domain Maxwell's equations for the first time. The methods are obtained by splitting the Hamiltonian function of Maxwell's equations into two analytically computable exponential sub‐propagators in the time direction based on different order decomposition methods, and then the equations are evaluated in the spatial direction by the staggered fourth‐order finite‐difference approximations. The stability and numerical dispersion analysis for different order decomposition methods are also presented. The theoretical predictions are confirmed by our numerical results. Copyright © 2007 John Wiley & Sons, Ltd.