Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

Authors: Beilina, Larisa, Klibanov, Michael Victor

  • Introduces pioneering results of the authors’ own experiments on coefficient inverse problems
  • Provides recipes for numerical implementations of developed algorithms
  • Demonstrates performance of algorithms in both synthetic and
  • experimental data
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Hardcover 161,19 €
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About this book

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.

Table of contents (6 chapters)

  • Two Central Questions of This Book and an Introduction to the Theories of Ill-posed and Coefficient Inverse Problems

    Beilina, Larisa (et al.)

    Pages 1-93

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  • Approximately Globally Convergent Numerical Method

    Beilina, Larisa (et al.)

    Pages 95-167

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  • Numerical Implementation of the Approximately Globally Convergent Method

    Beilina, Larisa (et al.)

    Pages 169-192

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  • The Adaptive Finite Element Technique and Its Synthesis with the Approximately Globally Convergent Numerical Method

    Beilina, Larisa (et al.)

    Pages 193-293

    Preview Buy Chapter 30,19 €
  • Blind Experimental Data

    Beilina, Larisa (et al.)

    Pages 295-334

    Preview Buy Chapter 30,19 €

Buy this book

eBook 130,89 €
price for Spain (gross)
  • ISBN 978-1-4419-7805-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 161,19 €
price for Spain (gross)
  • ISBN 978-1-4419-7804-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 161,19 €
price for Spain (gross)
  • ISBN 978-1-4899-9530-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
Authors
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4419-7805-9
DOI
10.1007/978-1-4419-7805-9
Hardcover ISBN
978-1-4419-7804-2
Softcover ISBN
978-1-4899-9530-8
Edition Number
1
Number of Pages
XVI, 408
Topics