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Open Access Review Article

Homology in Electromagnetic Boundary Value Problems

Matti Pellikka*, Saku Suuriniemi and Lauri Kettunen

Author Affiliations

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

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Boundary Value Problems 2010, 2010:381953  doi:10.1155/2010/381953

Published: 1 August 2010

Abstract

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.