Overview
- Provides a survey of methods for time domain wave propagation problems
- Features novel, efficient algorithms for solving wave equations
- Includes accurate dispersion analysis and error estimates for hybrid meshes for the wave equations
- Includes supplementary material: sn.pub/extras
Part of the book series: Scientific Computation (SCIENTCOMP)
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Table of contents(8 chapters)
Keywords
- Mass-Lumping
- Numerical dispersion
- a priori Error Estimates
- Absorbing boundary conditions
- Perfectly matched layers
- Linearized Euler equations
- Linear Cauchy-Poisson problem
- Virbrating thin plates
- Quadrilaterals and Hexahedra
- Hybrid mesh
- Finite elements for acoustics equation
- Finite elements for Maxwell's equation
About this book
This monograph also covers in details the theoretical foundations and numerical analysis of these methods. As a result, this monograph will be of interest to practitioners, researchers, engineers and graduate students involved in the numerical simulation
of waves.
Reviews
“In this book finite elements and discontinuous Galerkin (DG) methods are employed for the solution of wave equations. The book consists of a preface and eight chapters. Each chapter concludes with a list of references. It is an excellent reference for researchers working on numerical solutions of transient wave equations. It can also be used as a textbook for a graduate course … .” (Beny Neta, Mathematical Reviews, April, 2017)
“This monograph presents much of the progress made during the last two decades in the numerical solution of hyperbolic equations like the acoustics and Maxwell's equation as well as in linear elastodynamic systems. … the book is full of mathematical analysis, but also manypractical aspects and a lot of numerical results are given. … the book may be also quite useful for practitioners.” (Rolf Dieter Grigorieff, zbMATH 1360.65233, 2017)
Authors and Affiliations
-
INRIA-Saclay, Le Chesnay, France
Gary Cohen
-
The french aerospace lab, ONERA, Toulouse, France
Sébastien Pernet
Bibliographic Information
Book Title: Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations
Authors: Gary Cohen, Sébastien Pernet
Series Title: Scientific Computation
DOI: https://doi.org/10.1007/978-94-017-7761-2
Publisher: Springer Dordrecht
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media Dordrecht 2017
Hardcover ISBN: 978-94-017-7759-9Published: 18 August 2016
Softcover ISBN: 978-94-024-1402-8Published: 15 June 2018
eBook ISBN: 978-94-017-7761-2Published: 05 August 2016
Series ISSN: 1434-8322
Series E-ISSN: 2198-2589
Edition Number: 1
Number of Pages: XVII, 381
Number of Illustrations: 40 b/w illustrations, 39 illustrations in colour
Topics: Mathematical and Computational Engineering, Numerical and Computational Physics, Simulation, Mathematical Applications in the Physical Sciences, Classical and Continuum Physics, Solid Mechanics, Computational Science and Engineering