✍ Scribed by Michael Bartsch; Micha Dehler; Martin Dohlus; Frank Ebeling; Peter Hahne; Reinhard Klatt; Frank Krawczyk; Michaela Marx; Zhang Min; Thomas Pröpper; Dietmar Schmitt; Petra Schütt; Bernhard Steffen; Bernhard Wagner; Thomas Weiland; Susan G. Wipf; Heike Wolter
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A numerical approach for the solution of Maxwell's equations is presented. Based on a finite difference Yee lattice the method transforms each of the four Maxwell equations into an equivalent matrix expression that can be subsequently treated by matrix mathematics and suitable numerical methods for solving matrix problems. The algorithm, although derived from integral equations, can be consideredto be a special case of finite difference formalisms. A large variety of two-and three-dimensional field problems can be solved by computer programs based on this approach: electrostatics and magnetostatics, low-frequency eddy currents in solid and laminated iron cores, high-frequency modes in resonators, waves on dielectric or metallic waveguides, transient fields of antennas and waveguide transitions, transient fields of free-moving bunches of charged particles etc.
📜 SIMILAR VOLUMES
## Abstract In this article, we study the static and time‐dependent Maxwell equations in axisymmetric geometry. Using the mathematical tools introduced in (__Math. Meth. Appl. Sci.__ 2002; **25**: 49), we investigate the decoupled problems induced in a meridian half‐plane, and the splitting of the
## Abstract This paper is concerned with the structure of the singular and regular parts of the solution of time‐harmonic Maxwell's equations in polygonal plane domains and their effective numerical treatment. The asymptotic behaviour of the solution near corner points of the domain is studied by m