Abstract
Computational electromagnetics (CEM) in the present context is focused on numerical methods for solving the time-dependent Maxwell equations. The first-order divergence-curl equations together with associated initial/boundary conditions constitute the hyperbolic partial differential equation system. The solution of this type of differential equation system is not necessarily analytical and has a distinctive domain of dependence in which all the data propagate invaryingly along characteristics [1,2]. A series of numerical schemes has been devised to duplicate the physics which is dominated by directional information propagation. These numerical procedures are collectively designated as characteristic-based methods and in the most elementary form are the Riemann problem [3,4,5]. Characteristic-Based methods when applied to solve the time-dependent Maxwell equations have exhibited many attractive attributes. In particular, this formulation can alleviate reflected waves from the truncated computational domain easily and can construct piecewise continuous solutions across media interface. The former requirement is a fundamental dilemma of solving the initial-value problem on any finite memory size computer. The latter is always encountered when the electromagnetic wave is propagating through different media.
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© 1997 Springer Science+Business Media Dordrecht
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Shang, J.S. (1997). Characteristic-Based Methods in Computational Electromagnetics. In: Campbell, T.G., Nicolaides, R.A., Salas, M.D. (eds) Computational Electromagnetics and Its Applications. ICASE/LaRC Interdisciplinary Series in Science and Engineering, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5584-7_9
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DOI: https://doi.org/10.1007/978-94-011-5584-7_9
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