40% off Popular Science books & eBooks—Save on general interest titles now!

Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

Authors: Beilina, Larisa, Klibanov, Michael Victor

Free Preview
  • 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
see more benefits

Buy this book

eBook 117,69 €
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 145,59 €
price for Spain (gross)
  • ISBN 978-1-4419-7804-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-1-4899-9530-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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)

Table of contents (6 chapters)
  • Two Central Questions of This Book and an Introduction to the Theories of Ill-posed and Coefficient Inverse Problems

    Pages 1-93

    Beilina, Larisa (et al.)

  • Approximately Globally Convergent Numerical Method

    Pages 95-167

    Beilina, Larisa (et al.)

  • Numerical Implementation of the Approximately Globally Convergent Method

    Pages 169-192

    Beilina, Larisa (et al.)

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

    Pages 193-293

    Beilina, Larisa (et al.)

  • Blind Experimental Data

    Pages 295-334

    Beilina, Larisa (et al.)

Buy this book

eBook 117,69 €
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 145,59 €
price for Spain (gross)
  • ISBN 978-1-4419-7804-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-1-4899-9530-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

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