Space-Time Discretization of Maxwell’s Equations in the Setting of Geometric Algebra
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- Mariusz Klimek
- Technische Universitaet Darmstadt
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- Ulrich Römer
- Technische Universitaet Darmstadt
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- Sebastian Schöps
- Technische Universitaet Darmstadt
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- Thomas Weiland
- Technische Universitaet Darmstadt
抄録
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.
収録刊行物
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- IEICE Proceeding Series
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IEICE Proceeding Series 30 1101-1104, 2013-05-20
The Institute of Electronics, Information and Communication Engineers
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詳細情報 詳細情報について
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- CRID
- 1390564227312819584
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- NII論文ID
- 230000001642
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- ISSN
- 21885079
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可