Abstract
Meshless time domain methods allow flexible distribution of nodes in the computational domain. The radial point interpolation method (RPIM) in electromagnetics with Gaussian radial basis functions (RBFs) requires global interpolation matrices with large condition numbers even for simple problems such as eigenvalue analysis of a circular waveguide. In addition, nonorthogonal grids in such problems demand divergence-free conditions to be enforced. In this letter, a divergence-free inverse multiquadric RBF has been proposed to efficiently solve such electromagnetic (EM) problems. Real parts in eigenvalues are nearly eliminated by this approach, thus removing spurious solutions. In addition, the proposed approach results in longtime stability of numerical analysis.
Published Version
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