The Node Based Finite Element Method

  • Theodoros D. Tsiboukis
Part of the NATO ASI Series book series (volume 171)

Abstract

A very robust numerical method commonly employed in computational electromagnetics is the node based Finite Element Method (FEM). The basic idea behind this method is the discretization of a complex region into simple geometric shapes called finite elements. It is the idea of using subdomain basis functions that makes it possible to solve complicated problems, and it is the advent in numerical techniques and computer technology that makes the FEM practical. The FEM can be considered, from a mathematical point of view, as an extension of the Rayleigh-Ritz/Galerkin technique of constructing coordinate functions whose linear combinations approximate the unknown solutions. The standard procedure in a field computation by using the FEM involves basically, the following steps:
  1. a)

    Discretization of the field region into a number of nodal points and finite elements.

     
  2. b)

    Selection of the interpolation functions and derivation of the element equation.

     
  3. c)

    Formulation and solution of the system of equations.

     
  4. d)

    Postprocessing of the results.

     

Keywords

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References

  1. [1]
    S. R. H. Hoole, Computer-Aided Analysis and Design of Electromagnetic Devices, Elsevier 1989.Google Scholar
  2. [2]
    J. Jin, The Finite Element Method in Electromagnetics, John Wiley & Sons Inc., 1993.MATHGoogle Scholar
  3. [3]
    P. P. Silvester, and R. L. Ferrari, Finite Elements for Electrical Engineerings, Cambridge University Press, 3rd edition, 1996.Google Scholar
  4. [4]
    O. C. Zienkiewics, and R. L. Taylor, The Finite Element Method, McGraw- Hill 4th edition, 1989.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Theodoros D. Tsiboukis
    • 1
  1. 1.Department of Electrical and Computer EngineeringAristotle University of ThessalonikiThessalonikiGreece

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