# 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.

 Zugehörige Institution(en) am KIT Institut für Analysis (IANA)Institut für Angewandte und Numerische Mathematik (IANM)Sonderforschungsbereich 1173 (SFB 1173) Publikationstyp Forschungsbericht Jahr 2018 Sprache Englisch Identifikator ISSN: 2365-662X URN: 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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