Mathematical Methods in Elasticity Imaging
Enregistré dans:
| Auteur principal: | |
|---|---|
| Autres auteurs: | , , , , |
| Support: | E-Book |
| Langue: | Anglais |
| Publié: |
Princeton ; NJ :
Princeton University Press,
2015.
|
| Collection: | Princeton series in applied mathematics en ligne
|
| Sujets: | |
| Autres localisations: | Voir dans le Sudoc |
| Résumé: | This book covers recent mathematical, numerical, and statistical approaches for elasticity imaging of inclusions and cracks. A precise and timely book, it is easy to follow and will interest readers., Yanyan Li, Rutgers University"This book is the first to provide readers with a comprehensive overview of mathematical and computational studies of elasticity imaging. It is a useful resource for scientists and engineers in the relevant fields and a solid reference for any newcomers to elasticity imaging.", Gang Bao, Zhejiang University"This well-organized book explains recent mathematical, numerical, and statistical approaches for multistatic imaging of targets with waves at single or multiple frequencies. It makes an important contribution to the understanding of trade-offs between data size, computational complexity, signal-to-noise ratio, and resolution in multistatic imaging.", Jin Keun Seo, Yonsei University |
| Accès en ligne: | Accès à l'E-book |
| Lien: | Collection principale:
Princeton series in applied mathematics en ligne |
| Résumé: | This book covers recent mathematical, numerical, and statistical approaches for elasticity imaging of inclusions and cracks. A precise and timely book, it is easy to follow and will interest readers., Yanyan Li, Rutgers University"This book is the first to provide readers with a comprehensive overview of mathematical and computational studies of elasticity imaging. It is a useful resource for scientists and engineers in the relevant fields and a solid reference for any newcomers to elasticity imaging.", Gang Bao, Zhejiang University"This well-organized book explains recent mathematical, numerical, and statistical approaches for multistatic imaging of targets with waves at single or multiple frequencies. It makes an important contribution to the understanding of trade-offs between data size, computational complexity, signal-to-noise ratio, and resolution in multistatic imaging.", Jin Keun Seo, Yonsei University This book is the first to comprehensively explore elasticity imaging and examines recent, important developments in asymptotic imaging, modeling, and analysis of deterministic and stochastic elastic wave propagation phenomena. It derives the best possible functional images for small inclusions and cracks within the context of stability and resolution, and introduces a topological derivative–based imaging framework for detecting elastic inclusions in the time-harmonic regime. For imaging extended elastic inclusions, accurate optimal control methodologies are designed and the effects of uncertainties of the geometric or physical parameters on stability and resolution properties are evaluated. In particular, the book shows how localized damage to a mechanical structure affects its dynamic characteristics, and how measured eigenparameters are linked to elastic inclusion or crack location, orientation, and size. Demonstrating a novel method for identifying, locating, and estimating inclusions and cracks in elastic structures, the book opens possibilities for a mathematical and numerical framework for elasticity imaging of nanoparticles and cellular structures |
|---|---|
| Description: | Titre provenant de la page de titre du document numérique. Description based on online resource; title from PDF title page (publisher's Web site, viewed July 31 2015) La pagination de l'édition imprimée correspondante est de : VII-230 p. : ill. |
| Support: | Nécessite un navigateur et un lecteur de fichier PDF. Nécessite un lecteur de fichier flash reader, navigateur. |
| Bibliographie: | Bibliogr. Index. |
| ISBN: | 9781400866625 |
| Accès: | L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition |