Approximate Global Convergence And Adaptivity For Coefficient Inverse Problems

Author : Larisa Beilina
Publisher : Springer Science & Business Media
ISBN 13 : 1441978054
Total Pages : 420 pages
Book Rating : 4.59/5 ( download)

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Download or read book Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems written by Larisa Beilina and published by Springer Science & Business Media. This book was released on 2012-03-09 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems is the first book in which two new concepts of numerical solutions of multidimensional Coefficient Inverse Problems (CIPs) for a hyperbolic Partial Differential Equation (PDE) are presented: Approximate Global Convergence and the Adaptive Finite Element Method (adaptivity for brevity). Two central questions for CIPs are addressed: How to obtain a good approximations for the exact solution without any knowledge of a small neighborhood of this solution, and how to refine it given the approximation. The book also combines analytical convergence results with recipes for various numerical implementations of developed algorithms. The developed technique is applied to two types of blind experimental data, which are collected both in a laboratory and in the field. The result for the blind backscattering experimental data collected in the field addresses a real world problem of imaging of shallow explosives.

Author : Larisa Beilina
Publisher : Springer Science & Business Media
ISBN 13 : 1461478162
Total Pages : 206 pages
Book Rating : 4.64/5 ( download)

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Download or read book Applied Inverse Problems written by Larisa Beilina and published by Springer Science & Business Media. This book was released on 2013-08-15 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume is based on papers presented at the First Annual Workshop on Inverse Problems which was held in June 2011 at the Department of Mathematics, Chalmers University of Technology. The purpose of the workshop was to present new analytical developments and numerical methods for solutions of inverse problems. State-of-the-art and future challenges in solving inverse problems for a broad range of applications was also discussed. The contributions in this volume are reflective of these themes and will be beneficial to researchers in this area.

Author : Michael V. Klibanov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110745550
Total Pages : 247 pages
Book Rating : 4.59/5 ( download)

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Download or read book Inverse Problems and Carleman Estimates written by Michael V. Klibanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-09-07 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Larisa Beilina
Publisher : Springer Science & Business Media
ISBN 13 : 3319006606
Total Pages : 217 pages
Book Rating : 4.04/5 ( download)

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Download or read book Inverse Problems and Large-Scale Computations written by Larisa Beilina and published by Springer Science & Business Media. This book was released on 2013-10-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a result of two international workshops, namely the Second Annual Workshop on Inverse Problems and the Workshop on Large-Scale Modeling, held jointly in Sunne, Sweden from May 1-6 2012. The subject of the inverse problems workshop was to present new analytical developments and new numerical methods for solutions of inverse problems. The objective of the large-scale modeling workshop was to identify large-scale problems arising in various fields of science and technology and covering all possible applications, with a particular focus on urgent problems in theoretical and applied electromagnetics. The workshops brought together scholars, professionals, mathematicians, and programmers and specialists working in large-scale modeling problems. The contributions in this volume are reflective of these themes and will be beneficial to researchers in this area.

Author : Larisa Beilina
Publisher : Springer
ISBN 13 : 3319124994
Total Pages : 164 pages
Book Rating : 4.95/5 ( download)

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Download or read book Inverse Problems and Applications written by Larisa Beilina and published by Springer. This book was released on 2015-02-17 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​​This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods. The book highlights recent research focusing on reliable numerical techniques for the solution of inverse problems, with relevance to a range of fields including acoustics, electromagnetics, optics, medical imaging, and geophysics. ​

Author : Larisa Beilina
Publisher : Springer Nature
ISBN 13 : 3030486346
Total Pages : 147 pages
Book Rating : 4.41/5 ( download)

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Download or read book Mathematical and Numerical Approaches for Multi-Wave Inverse Problems written by Larisa Beilina and published by Springer Nature. This book was released on 2020-06-30 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers peer-reviewed, selected papers presented at the “Mathematical and Numerical Approaches for Multi-Wave Inverse Problems” conference at the Centre Internacional de Rencontres Mathématiques (CIRM) in Marseille, France, in April 2019. It brings the latest research into new, reliable theoretical approaches and numerical techniques for solving nonlinear and inverse problems arising in multi-wave and hybrid systems. Multi-wave inverse problems have a wide range of applications in acoustics, electromagnetics, optics, medical imaging, and geophysics, to name but a few. In turn, it is well known that inverse problems are both nonlinear and ill-posed: two factors that pose major challenges for the development of new numerical methods for solving these problems, which are discussed in detail. These papers will be of interest to all researchers and graduate students working in the fields of nonlinear and inverse problems and its applications.

Author : L. Beilina
Publisher : Springer
ISBN 13 : 3319940600
Total Pages : 145 pages
Book Rating : 4.01/5 ( download)

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Download or read book Nonlinear and Inverse Problems in Electromagnetics written by L. Beilina and published by Springer. This book was released on 2018-07-19 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides academic discussion on the theory and practice of mathematical analysis of nonlinear and inverse problems in electromagnetics and their applications. From mathematical problem statement to numerical results, the featured articles provide a concise overview of comprehensive approaches to the solution of problems. Articles highlight the most recent research concerning reliable theoretical approaches and numerical techniques and cover a wide range of applications, including acoustics, electromagnetics, optics, medical imaging, and geophysics. The nonlinear and ill-posed nature of inverse problems and the challenges they present when developing new numerical methods are explained, and numerical verification of proposed new methods on simulated and experimental data is provided. Based on the special session of the same name at the 2017 Progress in Electromagnetics Research Symposium, this book offers a platform for interaction between theoretical and practical researchers and between senior and incoming members in the field.

Author : Mohammad Asadzadeh
Publisher : Springer Nature
ISBN 13 : 3031358716
Total Pages : 288 pages
Book Rating : 4.15/5 ( download)

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Download or read book Gas Dynamics with Applications in Industry and Life Sciences written by Mohammad Asadzadeh and published by Springer Nature. This book was released on 2023-12-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers selected contributions presented at two instances of the "JSPS/SAC Seminar: On Gas Kinetic/Dynamics and Life Science", held by the Chalmers University of Technology and University of Gothenburg, Sweden, on March 25-26, 2021 (virtual) and March 17-18, 2022 (virtual). Works in this book provide a concise approach to the theoretical and numerical analysis of kinetic type equations that arise, for example, in modeling industrial, medical, and environmental problems. Readers will find some of the most recent theoretical results, newly developed numerical methods in the field, and some open problems. Possible application areas encompass fission/fusion energy, electromagnetics, nuclear science and engineering, medical service, radiation oncology, and plants growth conditions, to name a few. The JSPS/SAC seminars are jointly organized by JSPS (Japan Society for the Promotion of Science)—Stockholm Office and the Department of Mathematical Sciences, Chalmers University of Technology & University of Gothenburg, Sweden. These seminars foster discussions on the mathematical theory, industrial and life science applications, and numerical analysis of non-linear hyperbolic partial differential equations modeling collision-less plasma and charged particles. Chapter 4 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com. Chapter 11 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Author : Michael V. Klibanov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110745488
Total Pages : 344 pages
Book Rating : 4.81/5 ( download)

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Download or read book Inverse Problems and Carleman Estimates written by Michael V. Klibanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-09-07 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems for both linear and quasilinear PDEs. Next, various versions of the convexification method are developed for a number of Coefficient Inverse Problems.

Author : Vladimir Voevodin
Publisher : Springer
ISBN 13 : 3319712551
Total Pages : 532 pages
Book Rating : 4.50/5 ( download)

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Download or read book Supercomputing written by Vladimir Voevodin and published by Springer. This book was released on 2017-11-14 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third Russian Supercomputing Days, RuSCDays 2017, held in Moscow, Russia, in September 2017. The 41 revised full papers and one revised short paper presented were carefully reviewed and selected from 120 submissions. The papers are organized in topical sections on parallel algorithms; supercomputer simulation; high performance architectures, tools and technologies.