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Electrostatic Problem for Toroid Surfaces: Analytical Regularization

Tuchkin, Yury A.; Panin, Sergey B.; Efe, Ibrahim; Dikmen, Fatih; Unal, Ilhami; Poyedinchuk, Anatoly Ye


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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/239866</identifier>
  <creators>
    <creator>
      <creatorName>Tuchkin, Yury A.</creatorName>
      <givenName>Yury A.</givenName>
      <familyName>Tuchkin</familyName>
      <affiliation>Gebze Tech Univ, Dept Elect Engn, Gebze, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Panin, Sergey B.</creatorName>
      <givenName>Sergey B.</givenName>
      <familyName>Panin</familyName>
      <affiliation>TUBITAK MRC, ME, MILTAL, Gebze, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Efe, Ibrahim</creatorName>
      <givenName>Ibrahim</givenName>
      <familyName>Efe</familyName>
      <affiliation>Gebze Tech Univ, Dept Elect Engn, Gebze, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Dikmen, Fatih</creatorName>
      <givenName>Fatih</givenName>
      <familyName>Dikmen</familyName>
      <affiliation>Gebze Tech Univ, Dept Elect Engn, Gebze, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Unal, Ilhami</creatorName>
      <givenName>Ilhami</givenName>
      <familyName>Unal</familyName>
      <affiliation>TUBITAK MRC, ME, MILTAL, Gebze, Turkey</affiliation>
    </creator>
    <creator>
      <creatorName>Poyedinchuk, Anatoly Ye</creatorName>
      <givenName>Anatoly Ye</givenName>
      <familyName>Poyedinchuk</familyName>
      <affiliation>NAS Ukraine, Inst Radiophys &amp; Elect, Kharkov, Ukraine</affiliation>
    </creator>
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  <titles>
    <title>Electrostatic Problem For Toroid Surfaces: Analytical Regularization</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2021</publicationYear>
  <dates>
    <date dateType="Issued">2021-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Conference paper</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/239866</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1109/ACES53325.2021.00045</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">The electrostatic problem described by the Laplace equation with Dirichlet boundary condition was rigorously and efficiently solved for closed and open arbitrarily shaped isolated toroid surface of revolution. Application of Orthogonal Polynomial Method and Analytical Regularization Method allowed the problem to be reduced to a well-conditioned infinite system of linear algebraic equations of the second kind. It possesses robust numerical solution with, in principle, any desired accuracy.</description>
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