Uniqueness for a Wave Propagation Inverse Problem in a Half Space
Author | : University of Minnesota. Institute for Mathematics and Its Applications |
Publisher | : |
Total Pages | : |
Release | : 1997 |
Genre | : |
ISBN | : |
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Author | : University of Minnesota. Institute for Mathematics and Its Applications |
Publisher | : |
Total Pages | : |
Release | : 1997 |
Genre | : |
ISBN | : |
Author | : Guy Chavent |
Publisher | : Springer Science & Business Media |
Total Pages | : 502 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461218780 |
Inverse problems in wave propagation occur in geophysics, ocean acoustics, civil and environmental engineering, ultrasonic non-destructive testing, biomedical ultrasonics, radar, astrophysics, as well as other areas of science and technology. The papers in this volume cover these scientific and technical topics, together with fundamental mathematical investigations of the relation between waves and scatterers.
Author | : Ivan Graham |
Publisher | : Walter de Gruyter |
Total Pages | : 328 |
Release | : 2013-10-14 |
Genre | : Mathematics |
ISBN | : 3110282283 |
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 | : Fadil Santosa |
Publisher | : CRC Press |
Total Pages | : 292 |
Release | : 2019-05-07 |
Genre | : Mathematics |
ISBN | : 0429525087 |
Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware. Before his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He was instrumental in bringing together the mathematic
Author | : Ziqi Sun |
Publisher | : |
Total Pages | : 208 |
Release | : 1987 |
Genre | : Acoustic surface waves |
ISBN | : |
Author | : Guy Chavent |
Publisher | : Springer |
Total Pages | : 408 |
Release | : 1997-06-19 |
Genre | : Mathematics |
ISBN | : |
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.
Author | : Mikhail Mikhaĭlovich Lavrentʹev |
Publisher | : American Mathematical Soc. |
Total Pages | : 80 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : 9780821830994 |
A monograph that deals with the inverse problems of determining a variable coefficient and right side for hyperbolic and parabolic equations on the basis of known solutions at fixed points of space for all times.
Author | : A. Lorenzi |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 352 |
Release | : 2014-07-24 |
Genre | : Mathematics |
ISBN | : 3110943298 |
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Author | : Alexander G. Megrabov |
Publisher | : Walter de Gruyter |
Total Pages | : 244 |
Release | : 2012-05-24 |
Genre | : Mathematics |
ISBN | : 3110944987 |
Inverse problems are an important and rapidly developing direction in mathematics, mathematical physics, differential equations, and various applied technologies (geophysics, optic, tomography, remote sensing, radar-location, etc.). In this monograph direct and inverse problems for partial differential equations are considered. The type of equations focused are hyperbolic, elliptic, and mixed (elliptic-hyperbolic). The direct problems arise as generalizations of problems of scattering plane elastic or acoustic waves from inhomogeneous layer (or from half-space). The inverse problems are those of determination of medium parameters by giving the forms of incident and reflected waves or the vibrations of certain points of the medium. The method of research of all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to the known inverse problems for the Sturm-Liouville equation or the string equation. Besides the book considers discrete inverse problems. In these problems an arbitrary set of point sources (emissive sources, oscillators, point masses) is determined.
Author | : Mikhail Mikha_lovich Lavrent_ev |
Publisher | : American Mathematical Soc. |
Total Pages | : 300 |
Release | : 1986-12-31 |
Genre | : Mathematics |
ISBN | : 9780821898147 |
Physical formulations leading to ill-posed problems Basic concepts of the theory of ill-posed problems Analytic continuation Boundary value problems for differential equations Volterra equations Integral geometry Multidimensional inverse problems for linear differential equations