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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.


Volltext §
DOI: 10.5445/IR/1000110469
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 Karlsruher Institut für Technologie (KIT)
Umfang 99 S.
Art der Arbeit Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdatum 20.11.2019
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
Referent/Betreuer Wieners, C.
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