Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems - Couverture rigide

Beilina, Larisa; Klibanov, Michael Victor

Couverture rigide

ISBN 10 : 1441978046 ISBN 13 : 9781441978042

Editeur : Springer-Verlag New York Inc., 2012

Synopsis

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.

A propos du livre

Présentation de l'éditeur

The first of its kind, this volume presents convergent numerical methods for coefficient inverse problems for partial differential equations. Readers will find globally convergent methods that are synthesized with the Adaptive Finite Element technique (adaptivity for brevity).

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 1441978046
• ISBN 13: 9781441978042
• Reliure: Relié
• Nombre de pages: 424
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne