The heterogeneous multiscale method for dispersive Maxwell systems
Abstract:
In this work, we apply the finite element heterogeneous multiscale method to a class of dispersive first-order time-dependent Maxwell systems. For this purpose, we use an analytic homogenization result, which shows that the effective system contains additional dispersive effects. We provide a careful study of the (time-dependent) micro problems, including $H^2$ and micro errors estimates. Eventually, we prove a semi-discrete error estimate for the method.
| Zugehörige Institution(en) am KIT | Institut für Angewandte und Numerische Mathematik (IANM) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 10.2021 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000138844 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 26 S. |
| Serie | CRC 1173 Preprint ; 2021/41 |
| Projektinformation | SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Externe Relationen | Siehe auch |
| Schlagwörter | heterogeneous multiscale method, Maxwell’s equations, error analysis |