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Space-time discontinuous Petrov-Galerkin methods for linearwave equations in heterogeneous media

Ernesti, Johannes; Wieners, Christian


We establish an abstract space-time DPG framework for the approximation of linear waves in heterogeneous media. The estimates are based on a suitable variational setting in the energy space. The analysis combines the approaches for acoustic waves in Gopalakrishnan / Sepulveda (A space-time DPG method for acoustic waves, arXiv 2017) and in Ernesti / Wieners (RICCAM proceedings, submitted 2017) and is based on the abstract definition of traces on the skeleton of the time-space sub-structuring. The method is evaluated by large-scale parallel computations motivated from applications in seismic imaging, where the computational domain can be restricted substantially to a subset of the full space-time cylinder.

Volltext §
DOI: 10.5445/IR/1000085441
Veröffentlicht am 22.08.2018
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 2018
Sprache Englisch
Identifikator ISSN: 2365-662X
KITopen-ID: 1000085441
Verlag Karlsruher Institut für Technologie (KIT)
Umfang 19 S.
Serie CRC 1173 ; 2018/13
Schlagwörter space-time methods, discontinuous Petrov-Galerkin finite elements, linear hyperbolic systems, heterogeneous media
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