A Parallel and Adaptive Space-Time Method for Maxwell's Equations
Abstract (englisch):
In this work a space-time discretization for linear hyperbolic evolution systems is introduced. A discontinuous Galerkin approximation in space is combined and analyzed together with a Petrov-Galerkin scheme in time. The idea of DWR methods is applied to derive a p-adaptive strategy. The full linear system is solved in parallel in space and time by using a multilevel preconditioner. Numerical test validate the efficiency of the method in case of linear transport and Maxwell's equations in 2D.
| Zugehörige Institution(en) am KIT | Institut für Angewandte und Numerische Mathematik (IANM) |
| Publikationstyp | Hochschulschrift |
| Publikationsjahr | 2016 |
| Sprache | Englisch |
| Identifikator | urn:nbn:de:swb:90-568762 KITopen-ID: 1000056876 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | VIII, 146 S. |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Angewandte und Numerische Mathematik (IANM) |
| Prüfungsdaten | 06.07.2016 |
| Prüfungsdatum | 06.07.2016 |
| Projektinformation | GRK 1294/2 (DFG, DFG KOORD, GRK 1294/2) SFB 1173/1 (DFG, DFG KOORD, SFB 1173/1 2015) |
| Schlagwörter | Space-Time Methods, Discontinuous Galerkin Finite Elements, Maxwell's Equation, Dual Weighted Residuals (DWR), Parallel Multigrid Methods |
| Referent/Betreuer | Wieners, C. |