Title :
Space-time discretization of Maxwell´s equations in the setting of Geometric Algebra
Author :
Klimek, Mariusz ; Romer, Ulrich ; Schops, Sebastian ; Weiland, Thomas
Author_Institution :
Graduate School of Computational Engineering, Technische Universitaet Darmstadt, Dolivostrasse 15, D-64293, Germany
Abstract :
The Geometric Algebra (GA) for Minkowski space-time 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.
Keywords :
Calculus; Electromagnetics; Materials; Maxwell equations; Vectors;
Conference_Titel :
Electromagnetic Theory (EMTS), Proceedings of 2013 URSI International Symposium on
Conference_Location :
Hiroshima, Japan
Print_ISBN :
978-1-4673-4939-0
