Improved fast Gauss transform for meshfree electromagnetic transients simulations

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Abstract

In this paper improved fast summations are introduced to enhance a meshfree solver for the evolution of the electromagnetic fields over time. The original method discretizes the time-domain Maxwell’s curl equations via Smoothed Particle Hydrodynamics requiring many summations on the first derivatives of the kernel function and field vectors at each time step. The improved fast Gauss transform is properly adopted picking up the computational cost and the memory requirement at an acceptable level preserving the accuracy of the computation. Numerical simulations in two-dimensional domains are discussed giving evidence of improvements in the computation compared to the standard formulation.
Original languageEnglish
Pages (from-to)130-136
Number of pages7
JournalApplied Mathematics Letters
Volume95
Publication statusPublished - 2019

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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