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Enforcing Gauss’ Law in Computational Elec-Tromagnetics Within a Finite-Volume Framework

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Book cover Hyperbolic Problems: Theory, Numerics, Applications

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 141))

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Abstract

The problem of spurious solutions due to the violation of Gauss’ law in computational electromagnetics is avoided by solving an equivalent Maxwell system that takes this constraint into account. A second-order accurate finite-volume method is proposed to solve this linear, first-order strictly hyperbolic reformulated system. Numerical examples demonstrate the validity of this approach.

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© 2001 Springer Basel AG

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Munz, CD., Omnes, P., Schneider, R. (2001). Enforcing Gauss’ Law in Computational Elec-Tromagnetics Within a Finite-Volume Framework. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. ISNM International Series of Numerical Mathematics, vol 141. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8372-6_28

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  • DOI: https://doi.org/10.1007/978-3-0348-8372-6_28

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9538-5

  • Online ISBN: 978-3-0348-8372-6

  • eBook Packages: Springer Book Archive

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