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Inverse Problems in Engineering Mechanics

Author: Masataka Tanaka

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 563

ISBN-13: 3642524397

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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.

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 in Engineering Mechanics III

Author: G.S. Dulikravich

Publisher: Elsevier

Published: 2001-11-20

Total Pages: 433

ISBN-13: 0080535143

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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. This volume contains a selection of peer-reviewed papers presented at the International Symposium on Inverse Problems in Engineering Mechanics (ISIP2001), held in February of 2001 in Nagano, Japan, where recent development 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 the ISIP2001: 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. These papers can provide a state-of-the-art review of the research on inverse problems in engineering mechanics.

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

Download or read book Inverse Problems in Engineering Mechanics III written by G.S. Dulikravich and published by Elsevier. This book was released on 2001-11-20 with total page 433 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. This volume contains a selection of peer-reviewed papers presented at the International Symposium on Inverse Problems in Engineering Mechanics (ISIP2001), held in February of 2001 in Nagano, Japan, where recent development 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 the ISIP2001: 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. These papers can provide a state-of-the-art review of the research on inverse problems in engineering mechanics.

Inverse Problems in Engineering Mechanics IV

Author: Mana Tanaka

Publisher: Elsevier

Published: 2003-11-19

Total Pages: 545

ISBN-13: 0080535178

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This latest collection of proceedings provides a state of the art review of research on inverse problems in engineering mechanics. Inverse problems can be found in many areas of engineering mechanics, and have many successful applications. They are concerned with estimating the unknown input and/or the characteristics of a system given certain aspects of its output. The mathematical challenges of such problems have to be overcome through the development of new computational schemes, regularization techniques, objective functionals, and experimental procedures. The papers within this represent an excellent reference for all in the field. Providing a state of the art review of research on inverse problems in engineering mechanics Contains the latest research ideas and related techniques A recognized standard reference in the field of inverse problems Papers from Asia, Europe and America are all well represented

Book Synopsis Inverse Problems in Engineering Mechanics IV by : Mana Tanaka

Download or read book Inverse Problems in Engineering Mechanics IV written by Mana Tanaka and published by Elsevier. This book was released on 2003-11-19 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This latest collection of proceedings provides a state of the art review of research on inverse problems in engineering mechanics. Inverse problems can be found in many areas of engineering mechanics, and have many successful applications. They are concerned with estimating the unknown input and/or the characteristics of a system given certain aspects of its output. The mathematical challenges of such problems have to be overcome through the development of new computational schemes, regularization techniques, objective functionals, and experimental procedures. The papers within this represent an excellent reference for all in the field. Providing a state of the art review of research on inverse problems in engineering mechanics Contains the latest research ideas and related techniques A recognized standard reference in the field of inverse problems Papers from Asia, Europe and America are all well represented

Inverse Problems in Engineering Mechanics II

Author: G.S. Dulikravich

Publisher: Elsevier

Published: 2000-12-11

Total Pages: 608

ISBN-13: 9780080535159

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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.

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.

Inverse Problems in Engineering Mechanics

Author: Masataka Tanaka

Publisher: Elsevier

Published: 1998-11-09

Total Pages: 622

ISBN-13: 9780080535166

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Inverse problems can be found in many topics of engineering mechanics. There are many successful applications in the fields of inverse problems (non-destructive testing and characterization of material properties by ultrasonic or X-ray techniques, thermography, etc.). Generally speaking, the inverse problems are concerned with the determination of the input and the characteristics of a mechanical system from some of the output from the system. Mathematically, such problems are ill-posed and have to be overcome through development of new computational schemes, regularization techniques, objective functionals, and experimental procedures. Seventy-two papers were presented at the International Symposium on Inverse Problems in Mechanics (ISIP '98) held in March of 1998 in Nagano, where recent developments in the inverse problems in engineering mechanics and related topics were discussed. The main themes were: mathematical and computational aspects of the 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.

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 Elsevier. This book was released on 1998-11-09 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems can be found in many topics of engineering mechanics. There are many successful applications in the fields of inverse problems (non-destructive testing and characterization of material properties by ultrasonic or X-ray techniques, thermography, etc.). Generally speaking, the inverse problems are concerned with the determination of the input and the characteristics of a mechanical system from some of the output from the system. Mathematically, such problems are ill-posed and have to be overcome through development of new computational schemes, regularization techniques, objective functionals, and experimental procedures. Seventy-two papers were presented at the International Symposium on Inverse Problems in Mechanics (ISIP '98) held in March of 1998 in Nagano, where recent developments in the inverse problems in engineering mechanics and related topics were discussed. The main themes were: mathematical and computational aspects of the 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.

Inverse Problems with Applications in Science and Engineering

Author: Daniel Lesnic

Publisher: CRC Press

Published: 2021-11-10

Total Pages: 360

ISBN-13: 0429683251

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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

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 and Crack Identification Problems in Engineering Mechanics

Author: Georgios E. Stavroulakis

Publisher: Springer Science & Business Media

Published: 2001

Total Pages: 248

ISBN-13: 9780792366904

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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.

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.

Computational Methods for Inverse Problems

Author: Curtis R. Vogel

Publisher: SIAM

Published: 2002-01-01

Total Pages: 195

ISBN-13: 0898717574

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Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

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.

Practical Inverse Analysis in Engineering (1997)

Author: David M Trujillo

Publisher: CRC Press

Published: 2017-11-22

Total Pages: 167

ISBN-13: 1351359150

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Continuing advances in computer technology have made it possible for engineers and scientists to construct increasingly realistic models of physical processes. Practical Inverse Analysis in Engineering addresses an important area of engineering that will become even more significant to engineers and scientists - combining measurements with engineering models. This self-contained text presents applied mathematical tools for bridging the gap between real-world measurements and mathematical models. The book demonstrates how to treat "ill-conditioned" inverse analysis problems - those problems where the solution is extremely sensitive to the data - with the powerful theory of dynamic programming. A second theory, generalized-cross-validation, is also discussed as a useful partner in handling real data. The material in the book, much of it published for the first time, presents theories in a general unified setting, so readers can apply the information to their models. A disk containing DYNAVAL programming software lets readers try the methods presented in the text.

Book Synopsis Practical Inverse Analysis in Engineering (1997) by : David M Trujillo

Download or read book Practical Inverse Analysis in Engineering (1997) written by David M Trujillo and published by CRC Press. This book was released on 2017-11-22 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing advances in computer technology have made it possible for engineers and scientists to construct increasingly realistic models of physical processes. Practical Inverse Analysis in Engineering addresses an important area of engineering that will become even more significant to engineers and scientists - combining measurements with engineering models. This self-contained text presents applied mathematical tools for bridging the gap between real-world measurements and mathematical models. The book demonstrates how to treat "ill-conditioned" inverse analysis problems - those problems where the solution is extremely sensitive to the data - with the powerful theory of dynamic programming. A second theory, generalized-cross-validation, is also discussed as a useful partner in handling real data. The material in the book, much of it published for the first time, presents theories in a general unified setting, so readers can apply the information to their models. A disk containing DYNAVAL programming software lets readers try the methods presented in the text.

Functional Analysis

Author: Leonid P. Lebedev

Publisher: Springer Science & Business Media

Published: 2006-04-29

Total Pages: 259

ISBN-13: 0306483971

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This book started its life as a series of lectures given by the second author from the 1970’s onwards to students in their third and fourth years in the Department of Mechanics and Mathematics at Rostov State University. For these lectures there was also an audience of engineers and applied mechanicists who wished to understand the functional analysis used in contemporary research in their fields. These people were not so much interested in functional analysis itself as in its applications; they did not want to be told about functional analysis in its most abstract form, but wanted a guided tour through those parts of the analysis needed for their applications. The lecture notes evolved over the years as the first author started to make more formal typewritten versions incorporating new material. About 1990 the first author prepared an English version and submitted it to Kluwer Academic Publishers for inclusion in the series Solid Mechanics and its Applications. At that state the notes were divided into three long chapters covering linear and nonlinear analysis. As Series Editor, the third author started to edit them. The requirements of lecture notes and books are vastly different. A book has to be complete (in some sense), self contained, and able to be read without the help of an instructor.

Book Synopsis Functional Analysis by : Leonid P. Lebedev

Download or read book Functional Analysis written by Leonid P. Lebedev and published by Springer Science & Business Media. This book was released on 2006-04-29 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book started its life as a series of lectures given by the second author from the 1970’s onwards to students in their third and fourth years in the Department of Mechanics and Mathematics at Rostov State University. For these lectures there was also an audience of engineers and applied mechanicists who wished to understand the functional analysis used in contemporary research in their fields. These people were not so much interested in functional analysis itself as in its applications; they did not want to be told about functional analysis in its most abstract form, but wanted a guided tour through those parts of the analysis needed for their applications. The lecture notes evolved over the years as the first author started to make more formal typewritten versions incorporating new material. About 1990 the first author prepared an English version and submitted it to Kluwer Academic Publishers for inclusion in the series Solid Mechanics and its Applications. At that state the notes were divided into three long chapters covering linear and nonlinear analysis. As Series Editor, the third author started to edit them. The requirements of lecture notes and books are vastly different. A book has to be complete (in some sense), self contained, and able to be read without the help of an instructor.