Boundary Value Problems
Volume 2010 (2010), Article ID 381953, 18 pages
Review Article

Homology in Electromagnetic Boundary Value Problems

Tampere University of Technology, Electromagnetics, P.O. Box 692, 33101 Tampere, Finland

Received 4 March 2010; Revised 2 July 2010; Accepted 14 July 2010

Academic Editor: Veli Shakhmurov

Copyright © 2010 Matti Pellikka et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We discuss how homology computation can be exploited in computational electromagnetism. We represent various cellular mesh reduction techniques, which enable the computation of generators of homology spaces in an acceptable time. Furthermore, we show how the generators can be used for setting up and analysis of an electromagnetic boundary value problem. The aim is to provide a rationale for homology computation in electromagnetic modeling software.