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
PDF download (416.3KB)
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.