Direct and Inverse Problems in Wave Propagation and Applications

Published by De Gruyter 2013

Direct and Inverse Problems in Wave Propagation and Applications

Edited by: Ivan G. Graham, Ulrich Langer, Jens M. Melenk and Mourad Sini

Volume 14 in the series Radon Series on Computational and Applied Mathematics

https://doi.org/10.1515/9783110282283

Overview
Contents

About this book

This book is the third volume of three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" taking place in Linz, Austria, October 3-7, 2011. This book surveys recent developments in the analysis of wave propagation problems. The topics covered include aspects of the forward problem and problems in inverse problems, as well as applications in the earth sciences.

Wave propagation problems are ubiquitous in environmental applications such as seismic analysis, acoustic and electromagnetic scattering. The design of efficient numerical methods for the forward problem, in which the scattered field is computed from known geometric configurations is very challenging due to the multiscale nature of the problems. Even more challenging are inverse problems where material parameters and configurations have to be determined from measurements in conjunction with the forward problem. This book contains review articles covering several state-of-the-art numerical methods for both forward and inverse problems.

This collection of survey articles focusses on the efficient computation of wave propagation and scattering is a core problem in numerical mathematics, which is currently of great research interest and is central to many applications in energy and the environment. Two generic applications which resonate strongly with the central aims of the Radon Special Semester 2011 are forward wave propagation in heterogeneous media and seismic inversion for subsurface imaging. As an example of the first application, modelling of absorption and scattering of radiation by clouds, aerosol and precipitation is used as a tool for interpretation of (e.g.) solar, infrared and radar measurements, and as a component in larger weather/climate prediction models in numerical weather forecasting. As an example of the second application, inverse problems in wave propagation in heterogeneous media arise in the problem of imaging the subsurface below land or marine deposits.

The book records the achievements of Workshop 3 "Wave Propagation and Scattering, Inverse Problems and Applications in Energy and the Environment". It brings together key numerical mathematicians whose interest is in the analysis and computation of wave propagation and scattering problems, and in inverse problems, together with practitioners from engineering and industry whose interest is in the applications of these core problems.

Author information

Ivan Graham, University of Bath, UK; Ulrich Langer, University of Linz, Austria; Jens Markus Melenk, Vienna University of Technology, Austria;Mourad Sini, RICAM, Linz, Austria.

Supplementary Materials

Contents

Topics

Frontmatter Publicly Available Download PDF	i
Preface Requires Authentication Unlicensed Licensed Download PDF	v
Contents Publicly Available Download PDF	vii
Differential electromagnetic imaging Habib Ammari Requires Authentication Unlicensed Licensed Download PDF	1
Multitrace boundary integral equations Xavier Claeys, Ralf Hiptmair and Carlos Jerez-Hanckes Requires Authentication Unlicensed Licensed Download PDF	51
Direct and Inverse Elastic Scattering Problems for Diffraction Gratings Johannes Elschner and Guanghui Hu Requires Authentication Unlicensed Licensed Download PDF	101
Multigrid methods for Helmholtz problems: A convergent scheme in 1D using standard components Oliver G. Ernst and Martin J. Gander Requires Authentication Unlicensed Licensed Download PDF	135
Explicit local time-stepping methods for time-dependent wave propagation Marcus J. Grote and Teodora Mitkova Requires Authentication Unlicensed Licensed Download PDF	187
Absorbing boundary conditions and perfectly matched layers in wave propagation problems Frédéric Nataf Requires Authentication Unlicensed Licensed Download PDF	219
Dynamic inverse scattering Roland W. E. Potthast Requires Authentication Unlicensed Licensed Download PDF	233
Boundary integral equations for Helmholtz boundary value and transmission problems Olaf Steinbach Requires Authentication Unlicensed Licensed Download PDF	253
Color plates Color plates for the chapter by Ammari Requires Authentication Unlicensed Licensed Download PDF	293
Index Requires Authentication Unlicensed Licensed Download PDF	309

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Academics, graduate students, industry, universities, government labs, research institutes.
Pages
- Front matter: 11
- Main content: 312
Illustrations
- Illustrations: 40
- Coloured Illustrations: 28
- Tables: 8
Keywords: Wave Propagation; Scattering; Inverse Problem; Partial Differential Equation; Finite Element Method; Helmholtz Equation; Cloaking

eBook

Published: October 14, 2013
ISBN: 9783110282283

Hardcover

Published: September 17, 2013
ISBN: 9783110282238