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A parallel and adaptive space-time discontinuous Galerkin method for visco-elastic and visco-acoustic waves

Ziegler, Daniel Alexander

Abstract (englisch):
We develop an adaptive discontinuous Galerkin space-time discretization for elastic and acoustic waves with attenuation, described by retarded material laws for generalized standard linear solids.
The linear system is solved with a parallel multigrid method. Numerically the method is evaluated for a benchmark configuration in geophysics, where the convergence is tested with respect to seismograms. We show that the adaptive method based on goal-oriented error estimation is able to reduce the computational effort substantially.

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Volltext §
DOI: 10.5445/IR/1000110469
Veröffentlicht am 10.03.2020
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Hochschulschrift
Publikationsdatum 10.03.2020
Sprache Englisch
Identifikator KITopen-ID: 1000110469
Verlag Karlsruhe
Umfang 99 S.
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdatum 20.11.2019
Referent/Betreuer Prof. C. Wieners
Projektinformation SFB 1173/1 (DFG, DFG KOORD, SFB 1173/1 2015)
Schlagwörter Space-time methods, discontinuous Galerkin finite elements, linear hyperbolic systems, elastic and acoustic wave equation, dual weighted residual error estimator
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