On the use of a meshless solver for PDEs governing electromagnetic transients

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Abstract

In this paper some key elements of the Smoothed Particle Hydrodynamics methodology suitably reformulated for analyzing electromagnetic transients are investigated. The attention is focused on the interpolating smoothing kernel function which strongly influences the computational results. Some issues are provided by adopting the polynomial reproducing conditions. Validation tests involving Gaussian and cubic B-spline smoothing kernel functions in one and two dimensions are reported.
Original languageEnglish
Pages (from-to)42-51
Number of pages10
JournalApplied Mathematics and Computation
Volume209
Publication statusPublished - 2009

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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