FEM-BEM Coupling of Wave-Type Equations: From the Acoustic to the Elastic Wave Equation

We consider the FEM-BEM coupling for two special wave-type equations: the acoustic and the elastic wave equation. In more detail, we take a look at the coupling of the interior and exterior problems of these wave-type equations and review a stable numeric

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Willy Dörfler · Marlis Hochbruck Dirk Hundertmark Wolfgang Reichel · Andreas Rieder Roland Schnaubelt Birgit Schörkhuber · Editors

Mathematics of Wave Phenomena

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Willy D¨orfler • Marlis Hochbruck • Dirk Hundertmark • Wolfgang Reichel • Andreas Rieder • Roland Schnaubelt • Birgit Sch¨orkhuber Editors

Mathematics of Wave Phenomena

Editors Willy D¨orfler Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Marlis Hochbruck Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Dirk Hundertmark Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Wolfgang Reichel Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Andreas Rieder Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Roland Schnaubelt Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Birgit Sch¨orkhuber Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

ISSN 2297-0215 ISSN 2297-024X (electronic) Trends in Mathematics ISBN 978-3-030-47173-6 ISBN 978-3-030-47174-3 (eBook) https://doi.org/10.1007/978-3-030-47174-3 Mathematics Subject Classification: 35-06, 35Lxx, 35Qxx, 65-06, 65Mxx, 65Nxx, 78-06 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, com