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A Parallel and Adaptive Space-Time Method for Maxwell's Equations

Findeisen, Stefan Matthias

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
Jahr 2016
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000056876
URN: urn:nbn:de:swb:90-568762
KITopen ID: 1000056876
Verlag Karlsruhe
Umfang VIII, 146 S.
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdaten 06.07.2016
Referent/Betreuer Prof. C. Wieners
Schlagworte Space-Time Methods, Discontinuous Galerkin Finite Elements, Maxwell's Equation, Dual Weighted Residuals (DWR), Parallel Multigrid Methods
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