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

Author

Pascal Omnes, Rudolf Schneider, and Claus-Dieter Munz

Subjects
symbols.namesake, Gauss's law for gravity, Finite volume method, Maxwell's equations, Gauss, Scattering-matrix method, Mathematical analysis, symbols, Computational electromagnetics, Gauss's law, Spurious relationship, Mathematics
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.

Published
2001
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