Completeness of smoothed particle hydrodynamics (SPH) method and its corrective methods in time-domain electromagnetics

In this paper, a comparison completeness of the three kernel approximations that are commonly used in smoothed particle hydrodynamics (SPH) to polynomial functions and their derivatives is conducted. Those are applied for the time domain Maxwell's curl equations and the numerical results is compared with analytic solution. It is shown that the smoothed particle method for Maxwell's equations - smoothed particle electromagnetics (SPEM) - has a high potential in computational electromagnetics and nanostructure.