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.

Francomano, E. (2019). Improved fast Gauss transform for meshfree electromagnetic transients simulations. APPLIED MATHEMATICS LETTERS, 95, 130-136 [10.1016/j.aml.2019.03.030].

Improved fast Gauss transform for meshfree electromagnetic transients simulations

Francomano E.
;
Ala G.;Paliaga M.
2019-01-01

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.
2019
Settore MAT/08 - Analisi Numerica
Settore ING-IND/31 - Elettrotecnica
Francomano, E. (2019). Improved fast Gauss transform for meshfree electromagnetic transients simulations. APPLIED MATHEMATICS LETTERS, 95, 130-136 [10.1016/j.aml.2019.03.030].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/353908
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