Opis: Imaging, Multi-Scale and High Contrast Partial Differential Equations

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.* 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

Szczegóły: Imaging, Multi-Scale and High Contrast Partial Differential Equations

Tytuł: Imaging, Multi-Scale and High Contrast Partial Differential Equations
Wydawnictwo: American Mathematical Society
ISBN: 9781470419233
Rok wydania: 2016
Ilość stron: 148
Oprawa: Miękka

Recenzje: Imaging, Multi-Scale and High Contrast Partial Differential Equations