### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 130-136 |

Numero di pagine | 7 |

Rivista | Applied Mathematics Letters |

Volume | 95 |

Stato di pubblicazione | Published - 2019 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Applied Mathematics

### Cita questo

**Improved fast Gauss transform for meshfree electromagnetic transients simulations.** / Ala, Guido; Francomano, Elisa; Paliaga, Marta.

Risultato della ricerca: Article

*Applied Mathematics Letters*, vol. 95, pagg. 130-136.

}

TY - JOUR

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

ER -