Summary

URSI Commission B 2013 International Symposium on Electromagnetic Theory EMTS 2013

2013

Session Number:24PM2C

Session:

Number:24PM2C-02

Space-Time Discretization of Maxwell’s Equations in the Setting of Geometric Algebra

Mariusz Klimek,  Ulrich Römer,  Sebastian Schöps,  Thomas Weiland,  

pp.1101-1104

Publication Date:2013/5/20

Online ISSN:2188-5079

DOI:10.34385/proc.30.24PM2C-02

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Summary:
The Geometric Algebra (GA) for Minkowski spacetime and Maxwell’s equations in the setting of GA are briefly outlined. The constitutive equations are discussed in more detail. A discrete version of GA for a Cartesian grid is investigated and is shown to be equivalent to Tonti’s approach. Furthermore, under quite natural assumptions both schemes coincide with the Finite Integration Technique (in 3D space) and Leap-Frog time integration.