Abstract
AbstractThe 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.
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