Computational Issues of an Electromagnetics Transient Meshless Method

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Abstract

In this paper we refer to the computational issues in solving Maxwell’ s curl equations without using any connectivity among the points in which the problem domain is discretized. The adopted procedure is able to approximate the electric and magnetic vector fields making use of the derivatives of a kernel function at points arranged in the computational domain. In order to improve the numerical accuracy, dealing with irregular data distribution or data located near the boundary, a suitable strategy is considered. The computational core of the overall process requires elementary linear algebra operations. In the paper the method is presented and the discussion is revolved to the computational issues. Moreover, some numerical simulations are presented to validate the numerical process.
Lingua originaleEnglish
Numero di pagine4
Stato di pubblicazionePublished - 2018

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Linear algebra
Derivatives
Computer simulation

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title = "Computational Issues of an Electromagnetics Transient Meshless Method",
abstract = "In this paper we refer to the computational issues in solving Maxwell’ s curl equations without using any connectivity among the points in which the problem domain is discretized. The adopted procedure is able to approximate the electric and magnetic vector fields making use of the derivatives of a kernel function at points arranged in the computational domain. In order to improve the numerical accuracy, dealing with irregular data distribution or data located near the boundary, a suitable strategy is considered. The computational core of the overall process requires elementary linear algebra operations. In the paper the method is presented and the discussion is revolved to the computational issues. Moreover, some numerical simulations are presented to validate the numerical process.",
keywords = "Linear algebra, Meshess, Scientific computing",
author = "Marta Paliaga and Guido Ala and Graziella Giglia and Elisa Francomano",
year = "2018",
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T1 - Computational Issues of an Electromagnetics Transient Meshless Method

AU - Paliaga, Marta

AU - Ala, Guido

AU - Giglia, Graziella

AU - Francomano, Elisa

PY - 2018

Y1 - 2018

N2 - In this paper we refer to the computational issues in solving Maxwell’ s curl equations without using any connectivity among the points in which the problem domain is discretized. The adopted procedure is able to approximate the electric and magnetic vector fields making use of the derivatives of a kernel function at points arranged in the computational domain. In order to improve the numerical accuracy, dealing with irregular data distribution or data located near the boundary, a suitable strategy is considered. The computational core of the overall process requires elementary linear algebra operations. In the paper the method is presented and the discussion is revolved to the computational issues. Moreover, some numerical simulations are presented to validate the numerical process.

AB - In this paper we refer to the computational issues in solving Maxwell’ s curl equations without using any connectivity among the points in which the problem domain is discretized. The adopted procedure is able to approximate the electric and magnetic vector fields making use of the derivatives of a kernel function at points arranged in the computational domain. In order to improve the numerical accuracy, dealing with irregular data distribution or data located near the boundary, a suitable strategy is considered. The computational core of the overall process requires elementary linear algebra operations. In the paper the method is presented and the discussion is revolved to the computational issues. Moreover, some numerical simulations are presented to validate the numerical process.

KW - Linear algebra

KW - Meshess

KW - Scientific computing

UR - http://hdl.handle.net/10447/333131

M3 - Other

ER -