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.
Lingua originaleEnglish
pagine (da-a)130-136
Numero di pagine7
RivistaApplied Mathematics Letters
Volume95
Stato di pubblicazionePublished - 2019

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Gauss Transform
Meshfree
Summation
Curl
Maxwell equations
Kernel Function
Electromagnetic fields
Electromagnetic Fields
Computational Cost
Time Domain
Hydrodynamics
Vector Field
Simulation
Derivatives
Data storage equipment
Derivative
Numerical Simulation
Formulation
Requirements
Computer simulation

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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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.",
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author = "Guido Ala and Elisa Francomano and Marta Paliaga",
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volume = "95",
pages = "130--136",
journal = "Applied Mathematics Letters",
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T1 - Improved fast Gauss transform for meshfree electromagnetic transients simulations

AU - Ala, Guido

AU - Francomano, Elisa

AU - Paliaga, Marta

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Numerical approximation Improve fast Gauss transform Smoothed Particle Hydrodynamics Maxwell’s equations

UR - http://hdl.handle.net/10447/353908

M3 - Article

VL - 95

SP - 130

EP - 136

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

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