Stochastic PEEC Method Based on Polynomial Chaos Expansion.

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Title: Stochastic PEEC Method Based on Polynomial Chaos Expansion.
Authors: Torchio, R.1 (AUTHOR) riccardo.torchio@studenti.unipd.it, Di Rienzo, L.2 (AUTHOR), Codecasa, L.2 (AUTHOR)
Source: IEEE Transactions on Magnetics. Jun2019, Vol. 55 Issue 6, p1-4. 4p.
Subjects: Polynomial chaos, Random variables, Circuit elements, Magnetic shielding, Magnetic noise, Uncertainty, Galerkin methods
Abstract: The new stochastic partial element equivalent circuit (PEEC) method is proposed for uncertainty quantification in electromagnetic problems when material parameters are considered as random variables. The proposed formulation is derived using polynomial chaos expansion (PCE) and Galerkin projection. For the first time, the well-known advantages of PEEC are combined with those of PCE techniques, which can tackle also large variations in the random parameters. Volume conductive media are first considered in the formulation, which is then extended to dielectric, magnetic, and surface conductive media. [ABSTRACT FROM AUTHOR]
Copyright of IEEE Transactions on Magnetics is the property of IEEE 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: Stochastic PEEC Method Based on Polynomial Chaos Expansion.
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  Data: <searchLink fieldCode="DE" term="%22Polynomial+chaos%22">Polynomial chaos</searchLink><br /><searchLink fieldCode="DE" term="%22Random+variables%22">Random variables</searchLink><br /><searchLink fieldCode="DE" term="%22Circuit+elements%22">Circuit elements</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+shielding%22">Magnetic shielding</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+noise%22">Magnetic noise</searchLink><br /><searchLink fieldCode="DE" term="%22Uncertainty%22">Uncertainty</searchLink><br /><searchLink fieldCode="DE" term="%22Galerkin+methods%22">Galerkin methods</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The new stochastic partial element equivalent circuit (PEEC) method is proposed for uncertainty quantification in electromagnetic problems when material parameters are considered as random variables. The proposed formulation is derived using polynomial chaos expansion (PCE) and Galerkin projection. For the first time, the well-known advantages of PEEC are combined with those of PCE techniques, which can tackle also large variations in the random parameters. Volume conductive media are first considered in the formulation, which is then extended to dielectric, magnetic, and surface conductive media. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IEEE Transactions on Magnetics is the property of IEEE 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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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1109/tmag.2018.2889435
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      – Code: eng
        Text: English
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        PageCount: 4
        StartPage: 1
    Subjects:
      – SubjectFull: Polynomial chaos
        Type: general
      – SubjectFull: Random variables
        Type: general
      – SubjectFull: Circuit elements
        Type: general
      – SubjectFull: Magnetic shielding
        Type: general
      – SubjectFull: Magnetic noise
        Type: general
      – SubjectFull: Uncertainty
        Type: general
      – SubjectFull: Galerkin methods
        Type: general
    Titles:
      – TitleFull: Stochastic PEEC Method Based on Polynomial Chaos Expansion.
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            NameFull: Torchio, R.
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            NameFull: Di Rienzo, L.
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            NameFull: Codecasa, L.
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              M: 06
              Text: Jun2019
              Type: published
              Y: 2019
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