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Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acousticwaves

Dörfler, Willy; Findeisen, Stefan; Wieners, Christian; Ziegler, Daniel

We introduce a space-time discretization for elastic and acoustic waves using a
discontinuous Galerkin approximation in space and a Petrov–Galerkin scheme in time. For the
dG method, the upwind flux is evaluated by explicitly solving a Riemann problem. Then we
show well-posedness and convergence of the discrete system. Based on goal-oriented dualweighted
error estimation an adaptive strategy is introduced. The full space-time linear system
is solved with a parallel multilevel preconditioner. Numerical experiments for acoustic and
elastic waves underline the efficiency of the overall adaptive solution process.

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Volltext §
DOI: 10.5445/IR/1000085442
Veröffentlicht am 22.08.2018
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2018
Sprache Englisch
Identifikator ISSN: 2365-662X
KITopen-ID: 1000085442
Verlag KIT, Karlsruhe
Umfang 29 S.
Serie CRC 1173 ; 2018/14
Schlagworte space-time methods, discontinuous Galerkin finite elements, linear hyperbolic systems, elastic and acoustic wave equation, dual weighted residual error estimator
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