Error analysis of an ADI splitting scheme for the inhomogenous Maxwell equations
Abstract:
In this paper we investigate an alternating direction implicit (ADI) time integration scheme for the Maxwell equations with sources, currents and conductivity. We show its stability and efficiency. The main results establish that the scheme converges in a space similar to $H$$^{-1}$ with order two to the solution of the Maxwell system. Moreover, the divergence conditions in the system are preserved in $H$$^{-1}$ with order one.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 10.2017 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-763302 KITopen-ID: 1000076330 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 26 S. |
| Serie | CRC 1173 ; 2017/28 |
| Schlagwörter | Maxwell equations, splitting, convergence order, preservation of divergence conditions, stability |