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Author : Joshua M. Montgomery
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.:/5 (38 download)
Download or read book Acoustic Scattering Calculations by a Hybrid Asymptotic-numerical Method written by Joshua M. Montgomery and published by . This book was released on 1997 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (453 download)
Download or read book Hybrid Asymptotic-Numerical Methods in Scattering written by and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have developed and studied hybrid asymptotic-numerical methods to compute the acoustic field scattered by a large object. The asymptotic approximation is based on a short wavelength expansion of the scattered field in the form of uniformly valid geometrical theory of diffraction. These were combined with two numerical methods: finite elements and boundary spectral strip methods. The coupling to finite elements was achieved with the introduction of a new variational principle to couple two incompatible approximations. The boundary spectral strip method is a spectral approximation applied to a boundary integral formulation of the boundary value problem. With this method, we have successfully evaluated diffraction coefficients, surface wave excitation coefficients, and solved large scattering problems with several diffraction points. We have also studied the error introduced by joining the numerical and asymptotic approximations, and determined its properties and scalings.
Author : Jingzhi Li
Publisher : Springer Nature
ISBN 13 : 9819937728
Total Pages : 373 pages
Book Rating : 4.8/5 (199 download)
Download or read book Numerical Methods for Inverse Scattering Problems written by Jingzhi Li and published by Springer Nature. This book was released on 2023-09-07 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest developments on the numerical methods for inverse scattering problems associated with acoustic, electromagnetic, and elastic waves. Inverse scattering problems are concerned with identifying unknown or inaccessible objects by wave probing data, which makes possible many industrial and engineering applications including radar and sonar, medical imaging, nondestructive testing, remote sensing, and geophysical exploration. The mathematical study of inverse scattering problems is an active field of research. This book presents a comprehensive and unified mathematical treatment of various inverse scattering problems mainly from a numerical reconstruction perspective. It highlights the collaborative research outputs by the two groups of the authors yet surveys and reviews many existing results by global researchers in the literature. The book consists of three parts respectively corresponding to the studies on acoustic, electromagnetic, and elastic scattering problems. In each part, the authors start with in-depth theoretical and computational treatments of the forward scattering problems and then discuss various numerical reconstruction schemes for the associated inverse scattering problems in different scenarios of practical interest. In addition, the authors provide an overview of the existing results in the literature by other researchers. This book can serve as a handy reference for researchers or practitioners who are working on or implementing inverse scattering methods. It can also serve as a graduate textbook for research students who are interested in working on numerical algorithms for inverse scattering problems.
Author : David Colton
Publisher : Springer Nature
ISBN 13 : 3030303519
Total Pages : 518 pages
Book Rating : 4.0/5 (33 download)
Download or read book Inverse Acoustic and Electromagnetic Scattering Theory written by David Colton and published by Springer Nature. This book was released on 2019-11-06 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inverse scattering problem is central to many areas of science and technology such as radar, sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this fourth edition, a number of significant additions have been made including a new chapter on transmission eigenvalues and a new section on the impedance boundary condition where particular attention has been made to the generalized impedance boundary condition and to nonlocal impedance boundary conditions. Brief discussions on the generalized linear sampling method, the method of recursive linearization, anisotropic media and the use of target signatures in inverse scattering theory have also been added.
Author : Fatih Ecevit
Publisher :
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.:/5 (319 download)
Download or read book Integral Equation Formulations of Electromagnetic and Acoustic Scattering Problems written by Fatih Ecevit and published by . This book was released on 2005 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Claude Bourrely
Publisher : World Scientific
ISBN 13 : 981461887X
Total Pages : 374 pages
Book Rating : 4.8/5 (146 download)
Download or read book Electromagnetic And Acoustic Scattering: Detection And Inverse Problems - Proceedings Of The Conference written by Claude Bourrely and published by World Scientific. This book was released on 1989-03-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Light Scattering Problems in Astrophysics (J M Perrin)Surface Integral Operators and their Use in Acoustics and Electromagnetics (A Berthon)Acoustic Diffraction by Slender Bodies of Arbitrary Shape (M Tran-Van-Nhieu)High and Low Energy Approximations for the Electromagnetic Scattering by Irregular Objects (B Torresani)Electromagnetic Scattering and Mutual Interactions Between Closely Spaced Spheroids (J Dalmas & R Deleuil)Acoustical Imaging of 2D Fluid Targets Buried in a Half Space: A Diffraction Tomography Approach Using Line-Sources Insonification (B Duchene et al)Contribution of Radar Polarimetry in Radar Target Discrimination. The “Poincaré Planisphere”: a New Representation Method (E Pottier)Electromagnetic and Acoustic Waves in Random Media: from Propagation to Anderson Localization (B Souillard)Weak Disorder: Homogeneisation Method and Propagation (C Bardos)Coherent Propagation of Surface Acoustic Waves in Quasi-Periodic and Random Arrays of Grooves (D Sornette et al)On Asymptotic Behaviour of Waves States in Random Media (F Bentosela & R Rodriguez)A Study of Acoustic Transmission of Transient Signal in a Inhomogeneous Medium with the Help of a Wavelet Transform. Application to an Air-Water Plane Interface (G Saracco & Ph Tchamitchian)Three-Dimensional Impedance Scattering Theory (P Sabatier)Survey of Optimization Algorithms Applied to Inverse Problems (A Roger)A Linearized Inverse Problem: Acoustic Impedance Tomography of Biological Media (J P Lefebvre)and others Readership: Electrical engineers and mathematicians.
Author : Andrew Tristan Peplow
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.:/5 (117 download)
Download or read book Integral Equation Methods for Acoustic Scattering by Infinite Obstacles and Surfaces written by Andrew Tristan Peplow and published by . This book was released on 1996 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is concerned with the mathematical and numerical modelling of sound propagation over infinite surfaces in two and three-dimensions. In particular we consider the prediction, in a homogeneous medium, of sound propagation from a source in a cutting out onto flat surrounding ground, and scattering by an infinite rigid obstacle in three dimensions. In Chapter 2 a boundary integral formulation for the two-dimensional Helmholtz equation in a locally-perturbed half-plane with impedance boundary condition is developed to calculate sound propagation out of a cutting onto the surrounding terrain. A main result in this chapter is to show that the integral equation is uniquely solvable. A simple but robust boundary element method is developed and experimental convergence rates and numerical predictions are presented. Chapter 3 is concerned with the asymptotic behaviour of solutions at infinity to multidimensional second kind integral equations. A general second kind integral equation set on an infinite cylindrical surface is analysed in Chapter 4. Under certain conditions it is shown that an approximate solution, obtained by solving an integral equation on a finite cylindrical surface of length 2a, converges to the original solution, as a tends to infinity. Uniform stability and convergence results for a piecewise constant boundary element method for the truncated equations are also obtained. A boundary integral equation, which models three-dimensional acoustic radiation from an infinite rigid cylinder, illustrating the results of Chapters 3 and 4, is examined in Chapter 5.
Author : Fadil Santosa
Publisher : CRC Press
ISBN 13 : 9781420035971
Total Pages : 312 pages
Book Rating : 4.0/5 (359 download)
Download or read book Analytical and Computational Methods in Scattering and Applied Mathematics written by Fadil Santosa and published by CRC Press. This book was released on 2019-05-07 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : St¿phane Bordas
Publisher : John Wiley & Sons
ISBN 13 : 0470667087
Total Pages : 373 pages
Book Rating : 4.4/5 (76 download)
Download or read book Partition of Unity Methods written by St¿phane Bordas and published by John Wiley & Sons. This book was released on 2023-10-16 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: PARTITION OF UNITY METHODS Master the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field While it is the number one tool for computer aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods addresses these challenges and is now increasingly implemented in commercially available software. Partition of Unity Methods delivers a detailed overview of its fundamentals, in particular the extended finite element method for applications in solving moving boundary problems. The distinguished academics and authors introduce the XFEM as a natural extension of the traditional finite element method (FEM), through straightforward one-dimensional examples which form the basis for the subsequent introduction of higher dimensional problems. This book allows readers to fully understand and utilize XFEM just as it becomes ever more crucial to industry practice. Partition of Unity Methods explores all essential topics on this key new technology, including: Coverage of the difficulties faced by the finite element method and the impetus behind the development of XFEM The basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vector An introduction to the fundamentals of enrichment A revisitation of the partition of unity enrichment A description of the geometry of enrichment features, with discussions of level sets for stationary interfaces Application of XFEM to bio-film, gradient theories, and three dimensional crack propagation Perfect for researchers and postdoctoral candidates working in the field of computational mechanics, Partition of Unity Methods also has a place in the libraries of senior undergraduate and graduate students working in the field. Finite element and CFD analysts and developers in private industry will also greatly benefit from this book.
Author : Athanasios S. Fokas
Publisher : SIAM
ISBN 13 : 1611973821
Total Pages : 290 pages
Book Rating : 4.6/5 (119 download)
Download or read book Unified Transform for Boundary Value Problems written by Athanasios S. Fokas and published by SIAM. This book was released on 2015-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs. The text is divided into three parts. Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. New explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform.
Author : David Alun James
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (595 download)
Download or read book Analytical and Numerical Methods for the Acoustic Scattering from Finite Structures written by David Alun James and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matthias Ehrhardt
Publisher : Bentham Science Publishers
ISBN 13 : 1608051501
Total Pages : 240 pages
Book Rating : 4.6/5 (8 download)
Download or read book Progress in Computational Physics (PiCP) written by Matthias Ehrhardt and published by Bentham Science Publishers. This book was released on 2010-11-13 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Computational Physics is a new e-book series devoted to recent research trends in computational physics. It contains chapters contributed by outstanding experts of modeling of physical problems. The series focuses on interdisciplinary computat
Author : E. R. Pike
Publisher : Elsevier
ISBN 13 : 0080540732
Total Pages : 1831 pages
Book Rating : 4.0/5 (85 download)
Download or read book Scattering, Two-Volume Set written by E. R. Pike and published by Elsevier. This book was released on 2001-10-09 with total page 1831 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering is the collision of two objects that results in a change of trajectory and energy. For example, in particle physics, such as electrons, photons, or neutrons are "scattered off" of a target specimen, resulting in a different energy and direction. In the field of electromagnetism, scattering is the random diffusion of electromagnetic radiation from air masses is an aid in the long-range sending of radio signals over geographic obstacles such as mountains. This type of scattering, applied to the field of acoustics, is the spreading of sound in many directions due to irregularities in the transmission medium. Volume I of Scattering will be devoted to basic theoretical ideas, approximation methods, numerical techniques and mathematical modeling. Volume II will be concerned with basic experimental techniques, technological practices, and comparisons with relevant theoretical work including seismology, medical applications, meteorological phenomena and astronomy. This reference will be used by researchers and graduate students in physics, applied physics, biophysics, chemical physics, medical physics, acoustics, geosciences, optics, mathematics, and engineering. This is the first encyclopedic-range work on the topic of scattering theory in quantum mechanics, elastodynamics, acoustics, and electromagnetics. It serves as a comprehensive interdisciplinary presentation of scattering and inverse scattering theory and applications in a wide range of scientific fields, with an emphasis, and details, up-to-date developments. Scattering also places an emphasis on the problems that are still in active current research. The first interdisciplinary reference source on scattering to gather all world expertise in this technique Covers the major aspects of scattering in a common language, helping to widening the knowledge of researchers across disciplines The list of editors, associate editors and contributors reads like an international Who's Who in the interdisciplinary field of scattering
Author : Lizhen Ji
Publisher : American Mathematical Soc.
ISBN 13 : 0821875876
Total Pages : 522 pages
Book Rating : 4.8/5 (218 download)
Download or read book Fifth International Congress of Chinese Mathematicians written by Lizhen Ji and published by American Mathematical Soc.. This book was released on 2012 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.
Author : David Alun James
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (99 download)
Download or read book Analytic and numerical methods for the acoustic scattering from finite structures written by David Alun James and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.:/5 (318 download)
Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2008 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dane Scott Grundvig
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)
Download or read book High Order Numerical Methods for Problems in Wave Scattering written by Dane Scott Grundvig and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arbitrary high order numerical methods for time-harmonic acoustic scattering problems originally defined on unbounded domains are constructed. This is done by coupling recently developed high order local absorbing boundary conditions (ABCs) with finite difference methods for the Helmholtz equation. These ABCs are based on exact representations of the outgoing waves by means of farfield expansions. The finite difference methods, which are constructed from a deferred-correction (DC) technique, approximate the Helmholtz equation and the ABCs to any desired order. As a result, high order numerical methods with an overall order of convergence equal to the order of the DC schemes are obtained. A detailed construction of these DC finite difference schemes is presented. Details and results from an extension to heterogeneous media are also included. Additionally, a rigorous proof of the consistency of the DC schemes with the Helmholtz equation and the ABCs in polar coordinates is also given. The results of several numerical experiments corroborate the high order convergence of the proposed method. A novel local high order ABC for elastic waves based on farfield expansions is constructed and preliminary results applying it to elastic scattering problems are presented.
