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The dispersive meshless method with scalar basis function has beensuccessfully applied for analysis of frequency dependent media. However, asscalar based meshless methods are not always divergence-free in the absence ofsource,inaccurate or even wrong solutions may be found in the results. Toovercome this problem, in this paper, a new dispersive formulation of meshlessmethod with vector basis function is proposed for analysis of dispersivematerials. The divergence free property of this method improves the accuracy ofsimulation by eliminating the artificial charges generated due to the numericalanalysis. Moreover, the frequency behavior of the dispersive medium is modeledusing auxiliary-differential equations (ADE) method. The efficiency anddivergence-free property of the proposed method are verified and compared withdispersive meshless method with scalar basis function by a numerical example.

Dispersive Divergence-Free Vector Meshless Method for Analysis of Frequency-Dependent Medium