Imaging, multi-scale and high contrast partial differential equations : Seoul ICM 2014 Satellite Conference, Imaging, Multi-scale and High contrast PDEs, August 7-9, 2014, Daejeon, Korea
Author(s)
Bibliographic Information
Imaging, multi-scale and high contrast partial differential equations : Seoul ICM 2014 Satellite Conference, Imaging, Multi-scale and High contrast PDEs, August 7-9, 2014, Daejeon, Korea
(Contemporary mathematics, 660)
American Mathematical Society, c2016
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Imaging, multi-scale and high contrast PDEs
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Other editors: Yves Capdeboscq, Hyeonbae Kang, Imbo Sim
Includes bibliographical references
Description and Table of Contents
Description
This volume contains the proceedings of the Seoul ICM 2014 Satellite Conference on Imaging, Multi-scale and High-Contrast PDEs, held from August 7-9, 2014, in Daejeon, Korea. The mathematical analysis of partial differential equations modelling materials, or tissues, presenting multiple scales has been a very active area of research. The study of the corresponding imaging or reconstruction problem is a more recent area. If the material parameters of the partial differential equation present high contrast ratio, then the solution to the PDE becomes particularly challenging to analyze and compute. On the other hand, imaging in highly heterogeneous media poses significant challenges to the mathematical community.
The focus of this volume is on recent progress towards complete understanding of the direct problem with high contrast or high frequencies, and unified approaches to the inverse and imaging problems for both small and large contrast or frequencies. Of particular importance in imaging are shape representation techniques and regularization approaches. Special attention is devoted to new models and problems coming from physics leading to innovative imaging and signal processing methods.
Table of Contents
Wavelet methods for shape perception in electro-sensing by H. Ammari, S. Mallat, I. Waldspurger, and H. Wang
Time-domain multiscale shape identification in electro-sensing by H. Ammari and H. Wang
Estimation of stress in the presence of closely located elastic inclusions: A numerical study by H. Kang and E. Kim
Array dependence of effective parameters of dilute periodic elastic composite by H. Lee and J. Lee
A review on the enhancement of near-cloaking using the multilayer structure by M. Lim
On local non-zero constraints in PDE with analytic coefficients by G. S. Alberti and Y. Capdeboscq
Daylight imaging for virtual reflection seismology by J. Garnier
Mode-matching solution of a scattering problem in flexible waveguide with abrupt geometric changes by M. Afzal, M. Ayub, R. Nawaz, and A. Wahab
Direct scattering by a sound hard small body by D. P. Challa
Helmholtz equation in unbounded domains: Some convergence results for a constrained optimization problem by G. Ciraolo
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