The Node Based Finite Element Method

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


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.



Interpolation Function Triangular Element Rectangular Element Isoparametric Element Computational Electromagnetic 
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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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