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Error analysis of an energy preserving ADI splitting scheme for the Maxwell equation

Eilinghoff, Johannes; Jahnke, Tobias; Schnaubelt, Roland

Abstract:
We investigate an alternating direction implicit (ADI) scheme for the time-integration of the Maxwell equations with currents, charges and conductivity. This method is unconditionally stable, numerically efficient, and preserves the norm of the solution exactly in absence of the external current and the conductivity. We prove that the semidiscretization in time converges in a space similar to H$^{-1}$ with order two to the solution of the Maxwell system.

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Volltext §
DOI: 10.5445/IR/1000085151
Veröffentlicht am 07.08.2018
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2018
Sprache Englisch
Identifikator ISSN: 2365-662X
urn:nbn:de:swb:90-851511
KITopen-ID: 1000085151
Verlag KIT, Karlsruhe
Umfang 21 S.
Serie CRC 1173 ; 2018/12
Schlagworte Maxwell equations, splitting method, error bound, unconditional stability, energy conservation
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