Error estimates in $L$$²$ of an ADI splitting scheme for the inhomogeneous Maxwell equations
Abstract:
In this paper we investigate an alternating direction implicit (ADI) time integration scheme for the Maxwell equations with currents, charges and conductivity. The main results establish that the scheme converges in $L$$²$ with order two to the solution of the Maxwell system. Moreover, the divergence conditions in the system are preserved with order one. These results are based on a detailed regularity analysis of both the Maxwell system and the discrete scheme.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsjahr | 2017 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-779098 KITopen-ID: 1000077909 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 25 S. |
| Serie | CRC 1173 ; 2017/32 |
| Schlagwörter | Maxwell equations, splitting, efficiency, preservation of divergence conditions, convergence order |