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A spectral-element time-domain solution of Maxwell's equations

✍ Scribed by Yaxing Liu; Joon-Ho Lee; Tian Xiao; Qing H. Liu

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
188 KB
Volume
48
Category
Article
ISSN
0895-2477

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✦ Synopsis

Abstract

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

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