# Error analysis of an ADI splitting scheme for the inhomogenous Maxwell equations

Eilinghoff, Johannes; Schnaubelt, Roland

##### 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 KIT, Karlsruhe Umfang 26 S. Serie CRC 1173 ; 2017/28 Schlagwörter Maxwell equations, splitting, convergence order, preservation of divergence conditions, stability
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