A simple Nyström approach for the analysis of 3D arbitrarily shaped conducting and dielectric bodies.

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Title: A simple Nyström approach for the analysis of 3D arbitrarily shaped conducting and dielectric bodies.
Authors: Burghignoli, P.1 burghignoli@die.ing.uniroma1.it, Di Nallo, C.1, Frezza, F.1, Galli, A.1
Source: International Journal of Numerical Modelling. Mar/Apr2003, Vol. 16 Issue 2, p179-194. 16p. 3 Diagrams, 1 Chart, 7 Graphs.
Subjects: Bases (Linear topological spaces), Mathematical crystallography, Algebraic number theory, Integral representations, Representations of groups (Algebra), Integral calculus, Dielectrics
Abstract: In this work, an original boundary-integral-equation (BIE) approach is developed for an efficient and accurate electromagnetic analysis of arbitrarily shaped three-dimensional (3D) conducting and dielectric structures. A suitable analytical pre-processing on the field integral representation leads to a reduction of the singularity degree of the kernels and allows a straightforward implementation of the Nyström method, based on a direct discretization of the surface integrals by means of two-dimensional (2D) quadrature formulas. This approach presents attractive computational advantages, mainly related to the very simple determination of the matrix elements in the resulting linear system. Various numerical results have been derived for canonical 3D shapes to validate the proposed implementation, confirming the excellent features of versatility and accuracy of this numerical tool. Copyright © 2003 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Numerical Modelling is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A simple Nyström approach for the analysis of 3D arbitrarily shaped conducting and dielectric bodies.
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Numerical+Modelling%22">International Journal of Numerical Modelling</searchLink>. Mar/Apr2003, Vol. 16 Issue 2, p179-194. 16p. 3 Diagrams, 1 Chart, 7 Graphs.
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  Data: <searchLink fieldCode="DE" term="%22Bases+%28Linear+topological+spaces%29%22">Bases (Linear topological spaces)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+crystallography%22">Mathematical crystallography</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+number+theory%22">Algebraic number theory</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+representations%22">Integral representations</searchLink><br /><searchLink fieldCode="DE" term="%22Representations+of+groups+%28Algebra%29%22">Representations of groups (Algebra)</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+calculus%22">Integral calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Dielectrics%22">Dielectrics</searchLink>
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  Data: In this work, an original boundary-integral-equation (BIE) approach is developed for an efficient and accurate electromagnetic analysis of arbitrarily shaped three-dimensional (3D) conducting and dielectric structures. A suitable analytical pre-processing on the field integral representation leads to a reduction of the singularity degree of the kernels and allows a straightforward implementation of the Nyström method, based on a direct discretization of the surface integrals by means of two-dimensional (2D) quadrature formulas. This approach presents attractive computational advantages, mainly related to the very simple determination of the matrix elements in the resulting linear system. Various numerical results have been derived for canonical 3D shapes to validate the proposed implementation, confirming the excellent features of versatility and accuracy of this numerical tool. Copyright © 2003 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Numerical Modelling is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1002/jnm.495
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      – Code: eng
        Text: English
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        PageCount: 16
        StartPage: 179
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      – SubjectFull: Bases (Linear topological spaces)
        Type: general
      – SubjectFull: Mathematical crystallography
        Type: general
      – SubjectFull: Algebraic number theory
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      – SubjectFull: Integral representations
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      – SubjectFull: Representations of groups (Algebra)
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      – SubjectFull: Integral calculus
        Type: general
      – SubjectFull: Dielectrics
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      – TitleFull: A simple Nyström approach for the analysis of 3D arbitrarily shaped conducting and dielectric bodies.
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              M: 03
              Text: Mar/Apr2003
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