KIT | KIT-Bibliothek | Impressum | Datenschutz

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.

Open Access Logo


Volltext §
DOI: 10.5445/IR/1000077909
Veröffentlicht am 12.12.2017
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2017
Sprache Englisch
Identifikator ISSN: 2365-662X
urn:nbn:de:swb:90-779098
KITopen-ID: 1000077909
Verlag KIT, Karlsruhe
Umfang 25 S.
Serie CRC 1173 ; 2017/32
Schlagworte Maxwell equations, splitting, efficiency, preservation of divergence conditions, convergence order
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
KITopen Landing Page