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portada Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems
Type
Physical Book
Author
Publisher
Language
English
Pages
408
Format
Paperback
Dimensions
22.9 x 15.5 x 2.5 cm
Weight
0.59 kg.
ISBN13
9781489995308
Categories

Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

Larisa Beilina (Author) · Michael Victor Klibanov (Author) · Springer · Paperback

Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems - Beilina, Larisa ; Klibanov, Michael Victor

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Synopsis "Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems"

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.

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