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

In: High Performance Computing in Science and Engineering '19

Author

Listed:
  • W. Dörfler

    (KIT, Fakultät für Mathematik)

  • C. Wieners

    (KIT, Fakultät für Mathematik)

  • D. Ziegler

    (KIT, Fakultät für Mathematik)

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.

Suggested Citation

  • W. Dörfler & C. Wieners & D. Ziegler, 2021. "Parallel Space-Time Solutions for the Linear Visco-Acoustic and Visco-Elastic Wave Equation," Springer Books, in: Wolfgang E. Nagel & Dietmar H. Kröner & Michael M. Resch (ed.), High Performance Computing in Science and Engineering '19, pages 589-599, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-66792-4_40
    DOI: 10.1007/978-3-030-66792-4_40
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