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DOI: 10.5445/IR/1000085442
Veröffentlicht am 22.08.2018

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.

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
URN: urn:nbn:de:swb:90-854422
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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