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Numerical dispersion in the finite‐element method using triangular edge elements
Author(s) -
Warren Gregory S.,
Scott Waymond R.
Publication year - 1995
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.4650090606
Subject(s) - finite element method , discretization , dispersion (optics) , polygon mesh , geometry , enhanced data rates for gsm evolution , numerical analysis , computer simulation , plane wave , mathematics , mechanics , physics , mathematical analysis , optics , engineering , structural engineering , telecommunications
The discretization inherent in the finite‐element method results in the numerical dispersion of a propagating wave. The numerical dispersion of a time‐harmonic plane wave propagating through an infinite, two‐dimensional, finite‐element mesh composed of uniform triangular edge elements is investigated in this work. The effects on the numerical dispersion of the propagation direction of the wave, the electrical size of the elements, and the mesh geometry are investigated. The dispersion for the hexagonal mesh geometry is shown to be much smaller and to converge at a quicker rate than the other meshes. The dispersion analysis is validated by numerical examples. © 1995 John Wiley & Sons, Inc.