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Numerical dispersion in the finite‐element method using three‐dimensional edge elements
Author(s) -
Warren Gregory S.,
Scott Waymond R.
Publication year - 1998
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/(sici)1098-2760(19980820)18:6<423::aid-mop16>3.0.co;2-#
Subject(s) - finite element method , enhanced data rates for gsm evolution , structural engineering , numerical analysis , dispersion (optics) , geometry , materials science , mathematical analysis , mathematics , physics , engineering , optics , telecommunications
The discretization inherent in the vector 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, three‐dimensional, finite‐element mesh composed of hexahedral and tetrahedral edge elements is investigated in this work. The effects on the numerical dispersion of the propagation direction of the wave and the electrical size of the elements are investigated. The numerical dispersion of the tetrahedral edge elements is found to be dependent upon the polarization of the plane wave propagating through the mesh. In addition, the dispersion of the tetrahedral elements is significantly smaller than the dispersion of the hexahedral edge elements. Both elements are found to have a phase error that converges at the rate of O [( h /λ) 2 ]. © 1998 John Wiley & Sons, Inc. Microwave Opt Technol Lett 18: 423–429, 1998.