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

被引：0
|
作者：
Klimek, Mariusz [1 ]
Roemer, Ulrich [2 ]
Schoeps, Sebastian [1 ,2 ]
Weiland, Thomas [1 ,2 ]
机构：
[1] Tech Univ Darmstadt, Grad Sch Computat Engn, Dolivostr 15, D-64293 Darmstadt, Germany
[2] Tech Univ Darmstadt, Inst Theorie Elektromagnet Felder, D-64289 Darmstadt, Germany
来源：
PROCEEDINGS OF 2013 URSI INTERNATIONAL SYMPOSIUM ON ELECTROMAGNETIC THEORY (EMTS) | 2013年
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D O I：
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中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
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.
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页码：1101 / 1104
页数：4
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