Dörfler / Hochbruck / Köhler Wave Phenomena

Mathematical Analysis and Numerical Approximation
1. Auflage 2023
ISBN: 978-3-031-05793-9
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 49, 368 Seiten, eBook

Reihe: Oberwolfach Seminars

This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach.The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing.The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.

Zielgruppe

Graduate

Autoren/Hrsg.

Dörfler, Willy

Hochbruck, Marlis

Köhler, Jonas

Rieder, Andreas

Schnaubelt, Roland

Wieners, Christian

Inhaltsverzeichnis

Space-time approximations for linear acoustic, elastic, and electro-magnetic wave equations.- Local wellposedness and long-time behavior of quasilinear Maxwell equations.- Error analysis of second-order time integration methods for discontinuous Galerkin discretizations of Friedrichs’ systems.- An abstract framework for inverse wave problems with applications.

Über Autor(innen)

All authors are teaching and researching at Karlsruhe Institute of Technology, Germany.