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