Abstract
In this paper, the operator splitting techniques are applied for the semi-discretized Maxwell’s equations. The semi-discretization is performed on a staggered grid structure like other frequently used methods (YEE, NZCZ, KFR). We show how these methods fit into the framework of the splitting methods. We construct a new unconditionally stable solution method, which possesses all favourable properties of the NZCZ-method, and additionally it conserves the energy density of the electromagnetic field. We compare the new method with the NZCZ-method presenting a 2D numerical example.
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Horváth, R. (2006). Operator Splittings for the Numerical Solution of the Maxwell’s Equations. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2005. Lecture Notes in Computer Science, vol 3743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11666806_41
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DOI: https://doi.org/10.1007/11666806_41
Publisher Name: Springer, Berlin, Heidelberg
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