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A spectral‐element time‐domain solution of Maxwell's equations
Author(s) -
Liu Yaxing,
Lee JoonHo,
Xiao Tian,
Liu Qing H.
Publication year - 2006
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.21440
Subject(s) - discretization , spectral element method , legendre polynomials , gauss , basis function , spectral method , mathematics , time domain , maxwell's equations , convergence (economics) , mathematical analysis , exponential function , finite element method , computer science , physics , mixed finite element method , quantum mechanics , economics , computer vision , thermodynamics , economic growth
A spectral‐element time‐domain (SETD) method based on Gauss–Lobatto–Legendre (GLL) polynomials is presented to solve Maxwell's equations. The proposed SETD method combines the advantages of spectral accuracy with the geometric flexibility of unstructured grids. In addition, a 4 th ‐order Runge–Kutta method for time integration provides high‐order accuracy and thus reduces the temporal discretization errors. The numerical results demonstrate its spectral accuracy with the order of basis function and show the high efficiency of the proposed method due to its exponential convergence. © 2006 Wiley Periodicals, Inc. Microwave Opt Technical Lett 48: 673–680, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21440