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Mathematical Methods in Elasticity Imaging
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Mathematical Methods in Elasticity Imaging

Habib Ammari, Elie Bretin, Josselin Garnier, Hyeonbae Kang, Hyundae Lee, and Abdul Wahab

Abstract

This book comprehensively explores 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 ge ... More

Keywords: elasticity imaging, asymptotic imaging, elastic wave propagation, stability, resolution, elastic inclusion, crack, elastic structure, nanoparticle, cellular structure

Bibliographic Information

Print publication date: 2015 Print ISBN-13: 9780691165318
Published to Princeton Scholarship Online: October 2017 DOI:10.23943/princeton/9780691165318.001.0001

Authors

Affiliations are at time of print publication.

Habib Ammari, author
ETH Zurich

Elie Bretin, author
Institut National des Sciences Appliquées de Lyon

Josselin Garnier, author
Ecole Polytechnique, France

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