Direct and inverse problems in wave propagation and applications / edited by Ivan Graham [and three others].

Format:

Book

Contributor:

Graham, Ivan G.

Series:

Radon Series on Computational and Applied Mathematics

Radon Series on Computational and Applied Mathematics ; 14

Language:

English

Subjects (All):

Radio wave propagation.

Radio waves--Diffraction.

Radio waves.

Radio waves--Scattering.

Physical Description:

1 online resource (328 p.)

Edition:

1st ed.

Place of Publication:

Berlin ; Boston : Walter de Gruyter GmbH & Company, [2013]

Language Note:

English

Summary:

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.

Contents:

Frontmatter

Preface

Contents

Differential electromagnetic imaging / Ammari, Habib

Multitrace boundary integral equations / Claeys, Xavier / Hiptmair, Ralf / Jerez-Hanckes, Carlos

Direct and Inverse Elastic Scattering Problems for Diffraction Gratings / Elschner, Johannes / Hu, Guanghui

Multigrid methods for Helmholtz problems: A convergent scheme in 1D using standard components / Ernst, Oliver G. / Gander, Martin J.

Explicit local time-stepping methods for time-dependent wave propagation / Grote, Marcus J. / Mitkova, Teodora

Absorbing boundary conditions and perfectly matched layers in wave propagation problems / Nataf, Frédéric

Dynamic inverse scattering / Potthast, Roland W. E.

Boundary integral equations for Helmholtz boundary value and transmission problems / Steinbach, Olaf

Color plates

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed December 24, 2013).

ISBN:

9783110282283

3110282283

OCLC:

862746674