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Numerical implementations of the FEM‐DBCI integral equation

Numerical implementations of the FEM‐DBCI integral equation Purpose – This paper aims to discuss various numerical implementations of the integral equation in the hybrid finite element method‐Dirichlet boundary condition iteration (FEM‐DBCI) method for the numerical solution of unbounded static and quasi‐static electromagnetic field problems. Design/methodology/approach – Three numerical implementations are described and compared from the point of view of accuracy and complexity, by means of two examples regarding simple electrostatic problems. Findings – The implementation by means of a pair of integration surfaces made of element sides leads to accuracy levels which are much better than that of a single surface (made of element sides) and only a little worse than that of a single surface connecting point in the middle of finite element sides. Practical implications – The former implementations, however, are simpler since they are practically the same as that of a standard boundary element method integral equation. Originality/value – The paper constitutes a useful guide to the implementation of the FEM‐DBCI method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

Numerical implementations of the FEM‐DBCI integral equation

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Publisher
Emerald Publishing
Copyright
Copyright © 2008 Emerald Group Publishing Limited. All rights reserved.
ISSN
0332-1649
DOI
10.1108/03321640810878298
Publisher site
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Abstract

Purpose – This paper aims to discuss various numerical implementations of the integral equation in the hybrid finite element method‐Dirichlet boundary condition iteration (FEM‐DBCI) method for the numerical solution of unbounded static and quasi‐static electromagnetic field problems. Design/methodology/approach – Three numerical implementations are described and compared from the point of view of accuracy and complexity, by means of two examples regarding simple electrostatic problems. Findings – The implementation by means of a pair of integration surfaces made of element sides leads to accuracy levels which are much better than that of a single surface (made of element sides) and only a little worse than that of a single surface connecting point in the middle of finite element sides. Practical implications – The former implementations, however, are simpler since they are practically the same as that of a standard boundary element method integral equation. Originality/value – The paper constitutes a useful guide to the implementation of the FEM‐DBCI method.

Journal

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing

Published: Jul 11, 2008

Keywords: Integral equations; Finite element analysis; Electromagnetic fields

References

  • A generalized minimal residual acceleration of the charge iteration procedure
    Aiello, G.; Alfonzetti, S.; Borzì, G.
  • Charge iteration: a procedure for the finite‐element computation of unbounded electrical fields
    Aiello, G.; Alfonzetti, S.; Coco, S.
  • Finite element solution of eddy current problems in unbounded domains by means of the hybrid FEM‐DBCI method
    Aiello, G.; Alfonzetti, S.; Dilettoso, E.
  • An overview of the ELFIN code for finite element research in electrical engineering
    Aiello, G.; Alfonzetti, S.; Borzì, G.; Salerno, N.
  • A theoretical study of charge iteration
    Aiello, G.; Alfonzetti, S.; Coco, S.; Salerno, N.
  • Finite element iterative solution of skin effect problems in open boundaries
    Aiello, G.; Alfonzetti, S.; Coco, S.; Salerno, N.
  • Improving the accuracy of the integral equation in the hybrid FEM‐DBCI method for open boundary electrostatic problems
    Aiello, G.; Alfonzetti, S.; Dilettoso, E.; Salerno, N.
  • Infinite elements
    Bettess, P.
  • Asymptotic boundary condition for three dimensional magnetostatic finite elements
    Brauer, J.R.; Schaefer, S.M.; Lee, J‐F.; Mittra, R.
  • Electrostatique
    Durand, E.
  • Finite element modelling of open boundary problems
    Imhoff, J.F.; Meunier, G.; Sabonnadiere, J.C.
  • A sparse matrix open boundary method for finite element analysis
    Lowther, D.A.; Freeman, E.M.; Forghani, B.
  • Applications of the hybrid finite element‐boundary element method in electromagnetics
    Salon, S.J.; D'Angelo, J.
  • Finite Elements for Electrical Engineers
    Silvester, P.P.; Ferrari, R.L.
  • Exterior finite elements for 2‐dimensional field problems with open boundaries
    Silvester, P.P.; Lowther, D.A.; Carpenter, C.J.; Wyatt, E.A.