Space-Time Discontinuous Petrov–Galerkin Methods for Linear Wave Equations in Heterogeneous Media

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 of Gopalakrishnan–Sepulveda [J. Gopalakrishnan and P....

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Bibliographic Details

Published in:	Journal of computational methods in applied mathematics Vol. 19; no. 3; pp. 465 - 481
Main Authors:	Ernesti, Johannes, Wieners, Christian
Format:	Journal Article
Language:	English
Published:	Minsk De Gruyter 01.07.2019 Walter de Gruyter GmbH
Subjects:	65M15 65M55 65M60 Acoustic waves Discontinuous Petrov–Galerkin Finite Elements Galerkin method Heterogenous Media Linear Hyperbolic Systems Mathematical analysis Partial differential equations Space-Time Methods Spacetime Wave equations
ISSN:	1609-4840, 1609-9389
Online Access:	Get full text
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