Implicit scheme for Maxwell equations solution in case of flat 3D domains

Autor:	Vitaly Vshivkov, Marina Boronina
Rok vydání:	2016
Předmět:	History Mathematical analysis Order (ring theory) Stability (probability) Domain (mathematical analysis) Computer Science Applications Education Magnetic field symbols.namesake Amplitude Maxwell's equations Scheme (mathematics) symbols Gauss's law Mathematics
Zdroj:	Journal of Physics: Conference Series. 681:012032
ISSN:	1742-6596 1742-6588
Popis:	We present a new finite-difference scheme for Maxwell's equations solution for three-dimensional domains with different scales in different directions. The stability condition of the standard leap-frog scheme requires decreasing of the time-step with decreasing of the minimal spatial step, which depends on the minimal domain size. We overcome the conditional stability by modifying the standard scheme adding implicitness in the direction of the smallest size. The new scheme satisfies the Gauss law for the electric and magnetic fields in the final- differences. The approximation order, the maintenance of the wave amplitude and propagation speed, the invariance of the wave propagation on angle with the coordinate axes are analyzed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::503779f863fdabd7713e662af2eb33dd https://doi.org/10.1088/1742-6596/681/1/012032 Zobrazit plný text záznamu