Inverse Problems in Engineering Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642524397
Total Pages : 563 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Inverse Problems in Engineering Mechanics by : Masataka Tanaka

Download or read book Inverse Problems in Engineering Mechanics written by Masataka Tanaka and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems occur in a wide variey of fields. In general, the inverse problem can be defined as one where one should estimate the cause from the result, while the direct problem is concerned with how to obtain the result from the cause. The aim of this symposium was to gather scientists and researchers in engineering mechanics concerned with inverse problems in order to exchange research result and develop computational and experimentalapproaches to solve inverse problems. The contributions in this volume cover the following subjects: mathematical and computational aspects of inverse problems, parameter or system identification, shape determination, sensitivity analysis, optimization, material property characterization, ultrasonic nondestructive testing, elastodynamic inverse problems, thermal inverse problems, and other miscellaneous engineering applications.

Inverse Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 0387232184
Total Pages : 442 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Inverse Problems by : Alexander G. Ramm

Download or read book Inverse Problems written by Alexander G. Ramm and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.

Inverse Problems with Applications in Science and Engineering

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Publisher : CRC Press
ISBN 13 : 0429683251
Total Pages : 360 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Inverse Problems with Applications in Science and Engineering by : Daniel Lesnic

Download or read book Inverse Problems with Applications in Science and Engineering written by Daniel Lesnic and published by CRC Press. This book was released on 2021-11-10 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Driven by the advancement of industrial mathematics and the need for impact case studies, Inverse Problems with Applications in Science and Engineering thoroughly examines the state-of-the-art of some representative classes of inverse and ill-posed problems for partial differential equations (PDEs). The natural practical applications of this examination arise in heat transfer, electrostatics, porous media, acoustics, fluid and solid mechanics – all of which are addressed in this text. Features: Covers all types of PDEs — namely, elliptic (Laplace’s, Helmholtz, modified Helmholtz, biharmonic and Stokes), parabolic (heat, convection, reaction and diffusion) and hyperbolic (wave) Excellent reference for post-graduates and researchers in mathematics, engineering and any other scientific discipline that deals with inverse problems Contains both theory and numerical algorithms for solving all types of inverse and ill-posed problems

Inverse Problems in Engineering Mechanics II

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Publisher : Elsevier
ISBN 13 : 9780080535159
Total Pages : 608 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Inverse Problems in Engineering Mechanics II by : G.S. Dulikravich

Download or read book Inverse Problems in Engineering Mechanics II written by G.S. Dulikravich and published by Elsevier. This book was released on 2000-12-11 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse Problems are found in many areas of engineering mechanics and there are many successful applications e.g. in non-destructive testing and characterization of material properties by ultrasonic or X-ray techniques, thermography, etc. Generally speaking, inverse problems are concerned with the determination of the input and the characteristics of a system, given certain aspects of its output. Mathematically, such problems are ill-posed and have to be overcome through development of new computational schemes, regularization techniques, objective functionals, and experimental procedures. Following the IUTAM Symposium on these topics, held in May 1992 in Tokyo, another in November 1994 in Paris, and also the more recent ISIP'98 in March 1998 in Nagano, it was concluded that it would be fruitful to gather regularly with researchers and engineers for an exchange of the newest research ideas. The most recent Symposium of this series "International Symposium on Inverse Problems in Engineering Mechanics (ISIP2000)" was held in March of 2000 in Nagano, Japan, where recent developments in inverse problems in engineering mechanics and related topics were discussed. The following general areas in inverse problems in engineering mechanics were the subjects of ISIP2000: mathematical and computational aspects of inverse problems, parameter or system identification, shape determination, sensitivity analysis, optimization, material property characterization, ultrasonic non-destructive testing, elastodynamic inverse problems, thermal inverse problems, and other engineering applications. The papers in these proceedings provide a state-of-the-art review of the research on inverse problems in engineering mechanics and it is hoped that some breakthrough in the research can be made and that technology transfer will be stimulated and accelerated due to their publication.

Fixed-Point Algorithms for Inverse Problems in Science and Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 1441995692
Total Pages : 409 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Fixed-Point Algorithms for Inverse Problems in Science and Engineering by : Heinz H. Bauschke

Download or read book Fixed-Point Algorithms for Inverse Problems in Science and Engineering written by Heinz H. Bauschke and published by Springer Science & Business Media. This book was released on 2011-05-27 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art theory and practice in fixed-point algorithms, identifying emerging problems driven by applications, and discussing new approaches for solving these problems. This book incorporates diverse perspectives from broad-ranging areas of research including, variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry. Topics presented include: Theory of Fixed-point algorithms: convex analysis, convex optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory. Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods. Areas of Applications: engineering (image and signal reconstruction and decompression problems), computer tomography and radiation treatment planning (convex feasibility problems), astronomy (adaptive optics), crystallography (molecular structure reconstruction), computational chemistry (molecular structure simulation) and other areas. Because of the variety of applications presented, this book can easily serve as a basis for new and innovated research and collaboration.

Linear and Nonlinear Inverse Problems with Practical Applications

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Publisher : SIAM
ISBN 13 : 1611972337
Total Pages : 349 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Linear and Nonlinear Inverse Problems with Practical Applications by : Jennifer L. Mueller

Download or read book Linear and Nonlinear Inverse Problems with Practical Applications written by Jennifer L. Mueller and published by SIAM. This book was released on 2012-11-30 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.

Inverse Problems in Engineering

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Publisher : American Society of Mechanical Engineers
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Inverse Problems in Engineering by : Nicholas Zabaras

Download or read book Inverse Problems in Engineering written by Nicholas Zabaras and published by American Society of Mechanical Engineers. This book was released on 1993 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Inverse Problems with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642325564
Total Pages : 255 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis An Introduction to Inverse Problems with Applications by : Francisco Duarte Moura Neto

Download or read book An Introduction to Inverse Problems with Applications written by Francisco Duarte Moura Neto and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational engineering/science uses a blend of applications, mathematical models and computations. Mathematical models require accurate approximations of their parameters, which are often viewed as solutions to inverse problems. Thus, the study of inverse problems is an integral part of computational engineering/science. This book presents several aspects of inverse problems along with needed prerequisite topics in numerical analysis and matrix algebra. If the reader has previously studied these prerequisites, then one can rapidly move to the inverse problems in chapters 4-8 on image restoration, thermal radiation, thermal characterization and heat transfer. “This text does provide a comprehensive introduction to inverse problems and fills a void in the literature”. Robert E White, Professor of Mathematics, North Carolina State University

Inverse Problems in the Mathematical Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 3322992020
Total Pages : 154 pages
Book Rating : 4.3/5 (229 download)

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Book Synopsis Inverse Problems in the Mathematical Sciences by : Charles W. Groetsch

Download or read book Inverse Problems in the Mathematical Sciences written by Charles W. Groetsch and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems are immensely important in modern science and technology. However, the broad mathematical issues raised by inverse problems receive scant attention in the university curriculum. This book aims to remedy this state of affairs by supplying an accessible introduction, at a modest mathematical level, to the alluring field of inverse problems. Many models of inverse problems from science and engineering are dealt with and nearly a hundred exercises, of varying difficulty, involving mathematical analysis, numerical treatment, or modelling of inverse problems, are provided. The main themes of the book are: causation problem modeled as integral equations; model identification problems, posed as coefficient determination problems in differential equations; the functional analytic framework for inverse problems; and a survey of the principal numerical methods for inverse problems. An extensive annotated bibliography furnishes leads on the history of inverse problems and a guide to the frontiers of current research.

An Introduction to the Mathematical Theory of Inverse Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1441984747
Total Pages : 314 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis An Introduction to the Mathematical Theory of Inverse Problems by : Andreas Kirsch

Download or read book An Introduction to the Mathematical Theory of Inverse Problems written by Andreas Kirsch and published by Springer Science & Business Media. This book was released on 2011-03-24 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed problems. Basic properties of regularization methods for linear ill-posed problems are studied by means of several simple analytical and numerical examples. The second part of the book presents two special nonlinear inverse problems in detail - the inverse spectral problem and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. The choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students. Basic knowledge of real analysis is assumed. In this new edition, the Factorization Method is included as one of the prominent members in this monograph. Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph as Chapter 5 while the chapter on inverse scattering theory is now Chapter 6.The main changes of this second edition compared to the first edition concern only Chapters 5 and 6 and the Appendix A. Chapter 5 introduces the reader to the inverse problem of electrical impedance tomography.

Inverse and Crack Identification Problems in Engineering Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792366904
Total Pages : 248 pages
Book Rating : 4.3/5 (669 download)

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Book Synopsis Inverse and Crack Identification Problems in Engineering Mechanics by : Georgios E. Stavroulakis

Download or read book Inverse and Crack Identification Problems in Engineering Mechanics written by Georgios E. Stavroulakis and published by Springer Science & Business Media. This book was released on 2001 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for structural and mechanical engineers involved in nondestructive testing and quality control projects as well as research engineers and applied mathematicians, this monograph provides all the required material for the mathematical and numerical modeling of crack identification testing procedures in statis and dynamics. It uses boundary element techniques for delicate computational mechanics modeling and considers both elastostatic and harmonic or transient dynamic problems. Inverse problems are formulated as output error minimization problems and are theoretically studied as a bilevel optimization problem. Beyond classical numerical optimization, soft computing tools (neural networks and genetic algorithms) and filter algorithms are used for the numerical solution. Stavroulakis teaches applied mathematics and civil engineering at the Technical University Carolo Wilhelmina. c. Book News Inc.

Discrete Signals and Inverse Problems

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Publisher : John Wiley & Sons
ISBN 13 : 0470021888
Total Pages : 364 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Discrete Signals and Inverse Problems by : J. Carlos Santamarina

Download or read book Discrete Signals and Inverse Problems written by J. Carlos Santamarina and published by John Wiley & Sons. This book was released on 2005-12-13 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Signals and Inverse Problems examines fundamental concepts necessary to engineers and scientists working with discrete signal processing and inverse problem solving, and places emphasis on the clear understanding of algorithms within the context of application needs. Based on the original ‘Introduction to Discrete Signals and Inverse Problems in Civil Engineering’, this expanded and enriched version: combines discrete signal processing and inverse problem solving in one book covers the most versatile tools that are needed to process engineering and scientific data presents step-by-step ‘implementation procedures’ for the most relevant algorithms provides instructive figures, solved examples and insightful exercises Discrete Signals and Inverse Problems is essential reading for experimental researchers and practicing engineers in civil, mechanical and electrical engineering, non-destructive testing and instrumentation. This book is also an excellent reference for advanced undergraduate students and graduate students in engineering and science.

Discrete Inverse Problems

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Publisher : SIAM
ISBN 13 : 089871883X
Total Pages : 220 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Discrete Inverse Problems by : Per Christian Hansen

Download or read book Discrete Inverse Problems written by Per Christian Hansen and published by SIAM. This book was released on 2010-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms.

Inverse Engineering Handbook

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Publisher : CRC Press
ISBN 13 : 1420041614
Total Pages : 481 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Inverse Engineering Handbook by : Keith A. Woodbury

Download or read book Inverse Engineering Handbook written by Keith A. Woodbury and published by CRC Press. This book was released on 2002-09-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems have been the focus of a growing number of research efforts over the last 40 years-and rightly so. The ability to determine a "cause" from an observed "effect" is a powerful one. Researchers now have at their disposal a variety of techniques for solving inverse problems, techniques that go well beyond those useful for relatively si

Statistical and Computational Inverse Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 0387271325
Total Pages : 346 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Statistical and Computational Inverse Problems by : Jari Kaipio

Download or read book Statistical and Computational Inverse Problems written by Jari Kaipio and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the statistical mechanics approach to computational solution of inverse problems, an innovative area of current research with very promising numerical results. The techniques are applied to a number of real world applications such as limited angle tomography, image deblurring, electical impedance tomography, and biomagnetic inverse problems. Contains detailed examples throughout and includes a chapter on case studies where such methods have been implemented in biomedical engineering.

A Taste of Inverse Problems

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Publisher : SIAM
ISBN 13 : 1611974933
Total Pages : 171 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis A Taste of Inverse Problems by : Martin Hanke

Download or read book A Taste of Inverse Problems written by Martin Hanke and published by SIAM. This book was released on 2017-01-01 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems need to be solved in order to properly interpret indirect measurements. Often, inverse problems are ill-posed and sensitive to data errors. Therefore one has to incorporate some sort of regularization to reconstruct significant information from the given data. A Taste of Inverse Problems: Basic Theory and Examples?presents the main achievements that have emerged in regularization theory over the past 50 years, focusing on linear ill-posed problems and the development of methods that can be applied to them. Some of this material has previously appeared only in journal articles. This book rigorously discusses state-of-the-art inverse problems theory, focusing on numerically relevant aspects and omitting subordinate generalizations; presents diverse real-world applications, important test cases, and possible pitfalls; and treats these applications with the same rigor and depth as the theory.

Computational Methods for Inverse Problems

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Publisher : SIAM
ISBN 13 : 0898717574
Total Pages : 195 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Computational Methods for Inverse Problems by : Curtis R. Vogel

Download or read book Computational Methods for Inverse Problems written by Curtis R. Vogel and published by SIAM. This book was released on 2002-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.