Algebraic Properties and Conservation Laws in the Discrete Electromagnetism

The Rnite Integration Theory (FIT) is a discretization scheme for Maxwell's equations in their integral form and is the basis of a discrete electromagnetic field theory. The resulting matrix equations of the discretized fields can be used for efficient numerical simulations on modem computers. In addition, the basic algebraic properties of this discrete electromagnetic field theory allow to analytically and algebraically prove conservation properties with respect to energy and charge of the discrete formulation and give an explanation of the stability properties of numerical time domain formulations. Für die Dokumentation Maxwellsche Gleichungen / Computersimulation elektromagnetischer Felder / Theorie der Finiten Integration / Diskretisationsmethode Frequenz 53(1999) 11-12

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