A marching-on in time meshless kernel based solver for full-wave electromagnetic simulation

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22 Citations (Scopus)

Abstract

A meshless particle method based on an unconditionally stable time domain numerical scheme, oriented to electromagnetic transient simulations,is presented. The proposed scheme improves the smoothed particle electromagnetics method, already developed by the authors. The time stepping is approached by using the alternating directions implicit finite difference scheme, in a leapfrog way. The proposed formulation is used in order to efficiently overcome the stability relation constraint of explicit schemes. In fact, due to this constraint, large time steps cannot be used with small space steps andvice-versa. The same stability relation holds when the meshless formulationis applied together with an explicit finite difference scheme accounted for the time stepping. The computational tool is assessed and first simulation results are compared and discussed in order to validate the proposed approach.
Original languageEnglish
Pages (from-to)541-558
Number of pages18
JournalNumerical Algorithms
Volume62
Publication statusPublished - 2013

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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