An analytical solution for the logarithmic singularity associated with MoM applied to dielectrics and MFIE and its optimal evaluation with polynomial quadratures

Thierry Gilles; Marc Piette; Christophe Craeye

An analytical solution for the logarithmic singularity associated with MoM applied to dielectrics and MFIE and its optimal evaluation with polynomial quadratures

Thierry Gilles, Marc Piette, Christophe Craeye

Université Catholique de Louvain

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Two complete analytical solutions are presented for the double integral with 1/R³ singularity occurring in electromagnetic problems involving the MFIE-f and MFIE-nxf. These analytical solutions are used to assess the accuracy obtained with high efficiency polynomial quadratures in the evaluation of the singular outer integral. It is shown that a 16 nodes gaussian quadrature integration can provide the required accuracy.

Original language	English
Title of host publication	Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing
Publisher	Electromagnetics Academy
Pages	987-992
Number of pages	6
ISBN (Print)	9781618390554
Publication status	Published - 2009
Event	Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing - Beijing, China Duration: 23 Mar 2009 → 27 Mar 2009

Publication series

Name	Progress in Electromagnetics Research Symposium
Volume	2
ISSN (Print)	1559-9450

Conference

Conference	Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing
Country/Territory	China
City	Beijing
Period	23/03/09 → 27/03/09

Cite this

Gilles, T., Piette, M., & Craeye, C. (2009). An analytical solution for the logarithmic singularity associated with MoM applied to dielectrics and MFIE and its optimal evaluation with polynomial quadratures. In Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing (pp. 987-992). (Progress in Electromagnetics Research Symposium; Vol. 2). Electromagnetics Academy.

Gilles, Thierry ; Piette, Marc ; Craeye, Christophe. / An analytical solution for the logarithmic singularity associated with MoM applied to dielectrics and MFIE and its optimal evaluation with polynomial quadratures. Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing. Electromagnetics Academy, 2009. pp. 987-992 (Progress in Electromagnetics Research Symposium).

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title = "An analytical solution for the logarithmic singularity associated with MoM applied to dielectrics and MFIE and its optimal evaluation with polynomial quadratures",

abstract = "Two complete analytical solutions are presented for the double integral with 1/R3 singularity occurring in electromagnetic problems involving the MFIE-f and MFIE-nxf. These analytical solutions are used to assess the accuracy obtained with high efficiency polynomial quadratures in the evaluation of the singular outer integral. It is shown that a 16 nodes gaussian quadrature integration can provide the required accuracy.",

author = "Thierry Gilles and Marc Piette and Christophe Craeye",

year = "2009",

language = "English",

isbn = "9781618390554",

series = "Progress in Electromagnetics Research Symposium",

publisher = "Electromagnetics Academy",

pages = "987--992",

booktitle = "Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing",

note = "Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing ; Conference date: 23-03-2009 Through 27-03-2009",

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Gilles, T, Piette, M & Craeye, C 2009, An analytical solution for the logarithmic singularity associated with MoM applied to dielectrics and MFIE and its optimal evaluation with polynomial quadratures. in Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing. Progress in Electromagnetics Research Symposium, vol. 2, Electromagnetics Academy, pp. 987-992, Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing, Beijing, China, 23/03/09.

An analytical solution for the logarithmic singularity associated with MoM applied to dielectrics and MFIE and its optimal evaluation with polynomial quadratures. / Gilles, Thierry; Piette, Marc; Craeye, Christophe.
Progress in Electromagnetics Research Symposium 2009, PIERS 2009 Beijing. Electromagnetics Academy, 2009. p. 987-992 (Progress in Electromagnetics Research Symposium; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - Two complete analytical solutions are presented for the double integral with 1/R3 singularity occurring in electromagnetic problems involving the MFIE-f and MFIE-nxf. These analytical solutions are used to assess the accuracy obtained with high efficiency polynomial quadratures in the evaluation of the singular outer integral. It is shown that a 16 nodes gaussian quadrature integration can provide the required accuracy.

AB - Two complete analytical solutions are presented for the double integral with 1/R3 singularity occurring in electromagnetic problems involving the MFIE-f and MFIE-nxf. These analytical solutions are used to assess the accuracy obtained with high efficiency polynomial quadratures in the evaluation of the singular outer integral. It is shown that a 16 nodes gaussian quadrature integration can provide the required accuracy.

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An analytical solution for the logarithmic singularity associated with MoM applied to dielectrics and MFIE and its optimal evaluation with polynomial quadratures

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