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Error estimates in $L$$²$ of an ADI splitting scheme for the inhomogeneous Maxwell equations

Eilinghoff, Johannes; Schnaubelt, Roland

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.

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DOI: 10.5445/IR/1000077909
Veröffentlicht am 12.12.2017
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 2017
Sprache Englisch
Identifikator ISSN: 2365-662X
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
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