Linear systems of equations arising in the (almost) FEM solution of low-frequency electromagnetic problems

  • P. Alotto
Conference paper


In this paper, linear algebra implications of the solution of Maxwell’s equations are considered. Due to the breadth of the subject, this paper only scratches the surface of the topic and is by no means complete, but the author hopes that the reader will find it an interesting starting point to discover the challenges which electromagnetics offers to the linear algebra community.


Discontinuous Galerkin Method Harmonic Balance Commercial Code Research Code Incomplete Cholesky Factorization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Alotto, P., Bertoni, A., Molfino, P.(1998): Acombined FEM-BEM and tableau analysis for the modelling of moving devices fed by arbitrary lumped parameters electrical circuits. Proceedings of 4th international workshop on electric and magnetic fields. Marseille, 243–248.Google Scholar
  2. [2]
    Alotto, P., Bertoni, A., Perugia, I., Schötzau, D. (2001): Discontinuous finite element methods for the simulation of rotating electric al machines. COMPEL 20, 448–462MATHCrossRefGoogle Scholar
  3. [3]
    Alotto, P., Castagnini, A., Fernandes, P., Girdinio, P. (1998): Error estimation and adaptive meshing in 3D electrostatic and magnetostatic problems. IEEE Trans. Magnetics 34, 3260–3263CrossRefGoogle Scholar
  4. [4]
    Alotto, P., Girdinio, P., Molfino, P. (1994): A 2D finite element procedure for magnetic analysis involving non-linear and hysteretic materials. IEEE Trans. Magnetics 30, 3379–3382CrossRefGoogle Scholar
  5. [5]
    Alotto, P., Perugia, I. (1999): Mixed finite element methods and tree-cotree implicit condensation. Calcolo 36, 233–248MathSciNetMATHCrossRefGoogle Scholar
  6. [6]
    Alotto, P., Perugia, I. (2000): A field-based finite element method for magnetostatics derived from an error minimisation approach. Internal. J. Numer. Methods Engrg. 49, 573–598MathSciNetMATHCrossRefGoogle Scholar
  7. [7]
    Alotto, P., Perugia, I. (2000): Tree-cotree implicit condensation in magnetostatics. IEEE Trans. Magnetics 36, 1523–1526CrossRefGoogle Scholar
  8. [8]
    Yamada, S., Bessho, K., Lu, J. (1989): Harmonic balance finite element method applied to nonlinear AC magnetic analysis. IEEE Trans. Magnetics 25, 2971–2973CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Italia 2003

Authors and Affiliations

  • P. Alotto
    • 1
  1. 1.Dipartimento di Ingegneria ElettricaUniversità di GenovaGenovaItaly

Personalised recommendations