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Closed-form analytical expressions for the potential fields generated by triangular monolayers with linearly distributed source strength.

The solution of the mixed boundary value problem of potential theory involves the computation of the potential field generated by monolayer and double layer source distributions on surfaces at which boundary conditions are known. Closed-form analytical expressions have been described in the literatu...

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Published in:Medical & Biological Engineering & Computing Vol. 50; no. 1; pp. 1 - 10
Main Authors: van Oosterom A, van Oosterom, Adriaan
Format: Journal Article
Published: Springer Nature Jan2012
Online Access:View this record in EBSCOhost
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      dt: Jan2012
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      pub: Springer Nature
      place: New York, New York
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        atl: Closed-form analytical expressions for the potential fields generated by triangular monolayers with linearly distributed source strength.
      aug:
        au:
          van Oosterom A
          van Oosterom, Adriaan
        affil: Radboud University Nijmegen, Nijmegen, The Netherlands
      sug:
        subj:
          Algorithms
          Electromagnetic Fields
          Electrophysiology Physiology
          Models, Biological
          Electrophysiology
          Human
          Signal Processing, Computer Assisted
      ab: The solution of the mixed boundary value problem of potential theory involves the computation of the potential field generated by monolayer and double layer source distributions on surfaces at which boundary conditions are known. Closed-form analytical expressions have been described in the literature for the potential field generated by double layers having a linearly distributed strength over triangular source elements. This contribution presents the corresponding expression for the linearly distributed monolayer strength. The solution is shown to be valid for all observation points in space, including those on the interior, edges and vertices of the source triangle.
      pubtype: Academic Journal
      doctype: Journal Article
      ougenre: Article
    language: English
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