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Error estimates in $L$$² of an ADI splitting scheme for the inhomogeneous Maxwell equations Eilinghoff, Johannes; Schnaubelt, Roland Abstract: In this paper we investigate an alternating direction implicit (ADI) time integration scheme for the Maxwell equations with currents, charges and conductivity. The main results establish that the scheme converges in L$$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
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