[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 …
Topological derivatives of shape functionals. Part I: theory in singularly perturbed geometrical domains
Mathematical analysis and numerical solutions of problems with unknown shapes or
geometrical domains is a challenging and rich research field in the modern theory of the …
geometrical domains is a challenging and rich research field in the modern theory of the …
[BOOK][B] Applications of the topological derivative method
AA Novotny, J Sokołowski, A Żochowski - 2019 - Springer
The topological derivative method is recognized as a robust numerical technique in
engineering applications such as topology optimization, inverse problems, imaging …
engineering applications such as topology optimization, inverse problems, imaging …
[HTML][HTML] Stability for the inverse source problems in elastic and electromagnetic waves
G Bao, P Li, Y Zhao - Journal de Mathématiques Pures et Appliquées, 2020 - Elsevier
This paper concerns the inverse source problems for the time-harmonic elastic and
electromagnetic wave equations. The goal is to determine the external force and the electric …
electromagnetic wave equations. The goal is to determine the external force and the electric …
Inverse obstacle scattering for elastic waves with phased or phaseless far-field data
H Dong, J Lai, P Li - SIAM Journal on Imaging Sciences, 2019 - SIAM
This paper concerns an inverse elastic scattering problem which is to determine the location
and the shape of a rigid obstacle from the phased or phaseless far-field data for a single …
and the shape of a rigid obstacle from the phased or phaseless far-field data for a single …
Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications
We are concerned with a coupled-physics spectral problem arising in the coupled
propagation of acoustic and elastic waves, which is referred to as the acoustic-elastic …
propagation of acoustic and elastic waves, which is referred to as the acoustic-elastic …
Direct and inverse elastic scattering from anisotropic media
Assume that a time-harmonic elastic wave is incident onto a penetrable anisotropic elastic
body embedded in a homogeneous isotropic background medium. The scattering problem …
body embedded in a homogeneous isotropic background medium. The scattering problem …
Minnaert resonances for bubbles in soft elastic materials
Minnaert resonance is a widely known acoustic phenomenon, and it has many important
applications, in particular in the effective realization of acoustic metamaterials using bubbly …
applications, in particular in the effective realization of acoustic metamaterials using bubbly …
Mathematical theory on dipolar resonances of hard inclusions within a soft elastic material
The current study is motivated by the paper [Z. Liu, et al.,{\it Science}, 289 (5485), 2000],
which investigates the incorporation of hard inclusions within a soft elastic matrix (HISE) …
which investigates the incorporation of hard inclusions within a soft elastic matrix (HISE) …
[PDF][PDF] Application of neural networks to inverse elastic scattering problems with near-field measurements
This paper is concerned with the application of a machine learning approach to inverse
elastic scattering problems via neural networks. In the forward problem, the displacements …
elastic scattering problems via neural networks. In the forward problem, the displacements …