[BOOK][B] Mathematical and computational methods in photonics and phononics
The fields of photonics and phononics encompass the fundamental science of light and
sound propagation and interactions in complex structures, as well as its technological …
sound propagation and interactions in complex structures, as well as its technological …
[BOOK][B] Mathematical methods in elasticity imaging
This book is the first to comprehensively explore elasticity imaging and examines recent,
important developments in asymptotic imaging, modeling, and analysis of deterministic and …
important developments in asymptotic imaging, modeling, and analysis of deterministic and …
Multistatic imaging of extended targets
In this paper we develop iterative approaches for imaging extended inclusions from
multistatic response measurements at single or multiple frequencies. Assuming …
multistatic response measurements at single or multiple frequencies. Assuming …
The generalized polarization tensors for resolved imaging. Part I: Shape reconstruction of a conductivity inclusion
With each $\mathcal {C}^ 2$-domain and material parameter, an infinite number of tensors,
called the Generalized Polarization Tensors (GPTs), is associated. The GPTs contain …
called the Generalized Polarization Tensors (GPTs), is associated. The GPTs contain …
[HTML][HTML] Multi-frequency topological derivative for approximate shape acquisition of curve-like thin electromagnetic inhomogeneities
WK Park - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
In this paper, we investigate a non-iterative imaging algorithm based on the topological
derivative in order to retrieve the shape of penetrable electromagnetic inclusions when their …
derivative in order to retrieve the shape of penetrable electromagnetic inclusions when their …
Localization of small obstacles in Stokes flow
F Caubet, M Dambrine - Inverse Problems, 2012 - iopscience.iop.org
We want to detect small obstacles immersed in a fluid flowing in a larger bounded domain Ω
in the three-dimensional case. We assume that the fluid motion is governed by the steady …
in the three-dimensional case. We assume that the fluid motion is governed by the steady …
High precision identification of an object: Optimality-conditions-based concept of imaging
VA Kovtunenko, K Kunisch - SIAM Journal on Control and Optimization, 2014 - SIAM
A class of inverse problems for the identification of an unknown geometric object from given
measurements is considered. A concept for object imaging based on optimality conditions …
measurements is considered. A concept for object imaging based on optimality conditions …
A new optimal control approach for the reconstruction of extended inclusions
The aim of this paper is to propose a new regularized optimal control formulation for
recovering an extended inclusion from boundary measurements. Our approach provides an …
recovering an extended inclusion from boundary measurements. Our approach provides an …
Nondestructive testing of the delaminated interface between two materials
We consider the problem of detecting whether two materials that should be in contact have
separated or delaminated. The goal is to find an acoustic technique to detect the …
separated or delaminated. The goal is to find an acoustic technique to detect the …
Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements
In this paper, we propose an original and promising optimization approach for reconstructing
interface changes of a conductivity inclusion from measurements of eigenvalues and …
interface changes of a conductivity inclusion from measurements of eigenvalues and …