Diffraction from arbitrarily shaped open shells of revolution: Static case

Sergey B. Panin; Paul D. Smith; Elena D. Vinogradova; Sergey S. Vinogradov

doi:10.1109/ICEAA.2007.4387388

Diffraction from arbitrarily shaped open shells of revolution: Static case

Sergey B. Panin, Paul D. Smith, Elena D. Vinogradova, Sergey S. Vinogradov

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

1 Citation (Scopus)

Abstract

A mathematically rigorous and numerically efficient approach is developed for solving the Laplace equation with Dirichlet boundary condition on a closed or open arbitrary shaped surface of revolution. Although important in itself, the problem also provides a first step towards the solution of the related wave scattering problem. The generalized Method of Analytical Regularization transforms the problem to a wellconditioned infinite system of linear algebraic equations of the second kind. This provides a robust numerical solution with any desired accuracy.

Original language	English
Title of host publication	2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	665-668
Number of pages	4
ISBN (Print)	1424407672, 9781424407675
DOIs	https://doi.org/10.1109/ICEAA.2007.4387388
Publication status	Published - 2007
Event	2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07 - Torino, Italy Duration: 17 Sept 2007 → 21 Sept 2007

Other

Other	2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07
Country/Territory	Italy
City	Torino
Period	17/09/07 → 21/09/07

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10.1109/ICEAA.2007.4387388

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Panin, S. B., Smith, P. D., Vinogradova, E. D., & Vinogradov, S. S. (2007). Diffraction from arbitrarily shaped open shells of revolution: Static case. In 2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07 (pp. 665-668). Article 4387388 Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICEAA.2007.4387388

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title = "Diffraction from arbitrarily shaped open shells of revolution: Static case",

abstract = "A mathematically rigorous and numerically efficient approach is developed for solving the Laplace equation with Dirichlet boundary condition on a closed or open arbitrary shaped surface of revolution. Although important in itself, the problem also provides a first step towards the solution of the related wave scattering problem. The generalized Method of Analytical Regularization transforms the problem to a wellconditioned infinite system of linear algebraic equations of the second kind. This provides a robust numerical solution with any desired accuracy.",

author = "Panin, \{Sergey B.\} and Smith, \{Paul D.\} and Vinogradova, \{Elena D.\} and Vinogradov, \{Sergey S.\}",

year = "2007",

doi = "10.1109/ICEAA.2007.4387388",

language = "English",

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pages = "665--668",

booktitle = "2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07",

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note = "2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07 ; Conference date: 17-09-2007 Through 21-09-2007",

}

Panin, SB, Smith, PD, Vinogradova, ED & Vinogradov, SS 2007, Diffraction from arbitrarily shaped open shells of revolution: Static case. in 2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07., 4387388, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 665-668, 2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07, Torino, Italy, 17/09/07. https://doi.org/10.1109/ICEAA.2007.4387388

Diffraction from arbitrarily shaped open shells of revolution: Static case. / Panin, Sergey B.; Smith, Paul D.; Vinogradova, Elena D. et al.
2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2007. p. 665-668 4387388.

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

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AB - A mathematically rigorous and numerically efficient approach is developed for solving the Laplace equation with Dirichlet boundary condition on a closed or open arbitrary shaped surface of revolution. Although important in itself, the problem also provides a first step towards the solution of the related wave scattering problem. The generalized Method of Analytical Regularization transforms the problem to a wellconditioned infinite system of linear algebraic equations of the second kind. This provides a robust numerical solution with any desired accuracy.

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PB - Institute of Electrical and Electronics Engineers (IEEE)

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ER -

Diffraction from arbitrarily shaped open shells of revolution: Static case

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