Inverse Problems In Wave Propagation

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Direct And Inverse Problems In Wave Propagation And Applications
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Author : Ivan Graham
language : en
Publisher: Walter de Gruyter
Release Date : 2013-10-14
Direct And Inverse Problems In Wave Propagation And Applications written by Ivan Graham and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-14 with Mathematics categories.
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.
Inverse Problems Of Wave Processes
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Author : A. S. Blagoveshchenskii
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24
Inverse Problems Of Wave Processes written by A. S. Blagoveshchenskii and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.
This monograph covers dynamical inverse problems, that is problems whose data are the values of wave fields. It deals with the problem of determination of one or more coefficients of a hyperbolic equation or a system of hyperbolic equations. The desired coefficients are functions of point. Most attention is given to the case where the required functions depend only on one coordinate. The first chapter of the book deals mainly with methods of solution of one-dimensional inverse problems. The second chapter focuses on scalar inverse problems of wave propagation in a layered medium. In the final chapter inverse problems for elasticity equations in stratified media and acoustic equations for moving media are given.
Inverse Problems In Wave Propagation
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Author : Guy Chavent
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Inverse Problems In Wave Propagation written by Guy Chavent and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Inverse problems in wave propagation concern extraction of information about distant structural features from the measurements of scattered waves. Tasks of this nature arise in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic nondestructive testing, biomedical ultrasonics, radar, astrophysics, and other areas of science and technology. The papers in this volume represent most of these scientific and technical topics, together with fundamental mathematical investigations of the relation between waves and scatterers.
Practical Inverse Problems And Their Prospects
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Author : Takashi TAKIGUCHI
language : en
Publisher: Springer Nature
Release Date : 2023-09-09
Practical Inverse Problems And Their Prospects written by Takashi TAKIGUCHI and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-09 with Technology & Engineering categories.
This book comprises select proceedings of the workshop “Practical inverse problems and their prospects” held online by zoom, from Mar 2nd to Mar. 4th, 2022, supported by Institute of Mathematics for Industry, Kyushu University focusing on cutting-edge research carried out in the areas of practical inverse problems based on industry-academia and interdisciplinary collaborations. Various themes on practical inverse problems covered in this book are medical imaging, non-destructive and non-invasive inspections, viscoelastic waves, remote sensing, infrared light tomography, maintenance of infrastructure, and so on, and mathematical theories in inverse problems are also handled in these proceedings. All papers in this book are written by qualified authors in the practical inverse problems area and also the papers are newly announced. Readers can get leading-edge information on practical inverse problems.
Inverse Problems Of Wave Propagation And Diffraction
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Author : Guy Chavent
language : en
Publisher: Springer
Release Date : 2014-03-12
Inverse Problems Of Wave Propagation And Diffraction written by Guy Chavent and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-12 with Science categories.
This book describes the state of the art in the field of modeling and solving numerically inverse problems of wave propagation and diffraction. It addresses mathematicians, physicists and engineers as well. Applications in such fields as acoustics, optics, and geophysics are emphasized. Of special interest are the contributions to two and three dimensional problems without reducing symmetries. Topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media.
Inverse Problems Of Wave Propagation And Diffraction
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Author : Guy Chavent
language : en
Publisher: Springer
Release Date : 1997-06-19
Inverse Problems Of Wave Propagation And Diffraction written by Guy Chavent and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-19 with Mathematics categories.
This book describes the state of the art in the field of modeling and solving numerically inverse problems of wave propagation and diffraction. It addresses mathematicians, physicists and engineers as well. Applications in such fields as acoustics, optics, and geophysics are emphasized. Of special interest are the contributions to two and three dimensional problems without reducing symmetries. Topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media.
Topics In Computational Wave Propagation
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Author : Mark Ainsworth
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-08-27
Topics In Computational Wave Propagation written by Mark Ainsworth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-27 with Mathematics categories.
These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.
Inverse Problems Of Acoustic And Elastic Waves
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Author : Fadil Santosa
language : en
Publisher: SIAM
Release Date : 1984-01-01
Inverse Problems Of Acoustic And Elastic Waves written by Fadil Santosa and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-01 with Science categories.
Contents: A Survey of the Vocal Tract Inverse Problem: Theory, Computations and Experiments; Convergence of Discrete Inversion Solutions; Inversion of Band Limited Reflection Seismograms; Some Recent Results in Inverse Scattering Theory; Well-Posed Questions and Exploration of the Space of Parameters in Linear and Nonlinear Inversion; The Seismic Reflection Inverse Problem; Migration Methods: Partial but Efficient Solutions to the Seismic Inverse Problem; Relationship Between Linearized Inverse Scattering and Seismic Migration; Project Review on Geophysical and Ocean Sound Speed Profile Inversion; Acoustic Tomography; Inverse Problems of Acoustic and Elastic Waves; Finite Element Methods with Anisotropic Diffusion for Singularly Perturbed Convection Diffusion Problems; Adaptive Grid Methods for Hyperbolic Partial Differential Equations; Some Simple Stability Results for Inverse Scattering Problems; Inverse Scattering for Stratified, Isotropic Elastic Media Using the Trace Method; A Layer-Stripping Solution of the Inverse Problem for a One-Dimensional Elastic Medium; On Constructing Solutions to an Inverse Euler-Bernoulli Beam Problem; Far Field Patterns in Acoustic and Electromagnetic Scattering Theory; Renaissance Inversion; On the Equilibrium Equations of Poroelasticity; GPST-A Versatile Numerical Method for Solving Inverse Problems of Partial Differential Equations; and Applications of Seismic Ray-Tracing Techniques to the Study of Earthquake Focal Regions.
Identification Problems Of Wave Phenomena
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Author : A. Lorenzi
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-07-24
Identification Problems Of Wave Phenomena written by A. Lorenzi and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-24 with Mathematics categories.
No detailed description available for "Identification Problems of Wave Phenomena".
Stochastic Wave Propagation
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Author : K. Sobczyk
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Stochastic Wave Propagation written by K. Sobczyk and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
This is a concise, unified exposition of the existing methods of analysis of linear stochastic waves with particular reference to the most recent results. Both scalar and vector waves are considered. Principal attention is concentrated on wave propagation in stochastic media and wave scattering at stochastic surfaces. However, discussion extends also to various mathematical aspects of stochastic wave equations and problems of modelling stochastic media.