Homology in Electromagnetic Boundary Value Problems
Tampere University of Technology, Electromagnetics, P.O. Box 692, 33101 Tampere, Finland
Boundary Value Problems 2010, 2010:381953 doi:10.1155/2010/381953Published: 1 August 2010
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.