Parallel Space-Time Solutions for the Linear Visco-Acoustic and Visco-Elastic Wave Equation

W. Dörfler, C. Wieners () and D. Ziegler ()
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W. Dörfler: KIT, Fakultät für Mathematik
C. Wieners: KIT, Fakultät für Mathematik
D. Ziegler: KIT, Fakultät für Mathematik

A chapter in High Performance Computing in Science and Engineering '19, 2021, pp 589-599 from Springer

Abstract: Abstract We present parallel adaptive results for a discontinuous Galerkin space-time discretization for acoustic and elastic waves with attenuation. The method is based on p-adaptive polynomial discontinuous ansatz and test spaces and a first-order formulation with full upwind fluxes. Adaptivity is controlled by dual-primal error estimation, and the full linear system is solved by a Krylov method with space-time multilevel preconditioning. The discretization and solution method is introduced in Dörfler-Findeisen-Wieners (Comput. Meth. Appl. Math. 2016) for general linear hyperbolic systems and applied to acoustic and elastic waves in Dörfler-Findeisen-Wieners-Ziegler (Radon Series Comp. Appl. Math. 2019); attenuation effects were included in Ziegler (PhD thesis 2019, Karlsruhe Institute of Technology). Here, we consider the evaluation of this method for a benchmark configuration in geophysics, where the convergence is tested with respect to seismograms. We consider the scaling on parallel machines and we show that the adaptive method based on goal-oriented error estimation is able to reduce the computational effort substantially.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-66792-4_40

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DOI: 10.1007/978-3-030-66792-4_40

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