Error analysis of an energy preserving ADI splitting scheme for the Maxwell equation
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/Preprint |
| Publikationsjahr | 2018 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X urn:nbn:de:swb:90-851511 KITopen-ID: 1000085151 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 21 S. |
| Serie | CRC 1173 ; 2018/12 |
| Schlagwörter | Maxwell equations, splitting method, error bound, unconditional stability, energy conservation |