5 papers
Inverse Geometric Diffraction by a Cone
Gang Bao, Xi Chen, Shuai Lu +1
Consider the inverse problem of recovering a strictly convex conical obstacle in from the diffraction coefficients along with arrival directions (lens data) or arriv…
Inverse Scattering by Diffracted Waves
Gang Bao, Xi Chen, Shuai Lu +1
In addition to reflection and refraction, another form of wave deviation is defined as diffraction. Notably, when incident waves strike a corner, diffracted waves emanate from the…
Computation of shape Taylor expansions
Gang Bao, Jun Lai, Haoran Ma
Shape derivative is an important analytical tool for studying scattering problems involving perturbations in scatterers. Many applications, including inverse scattering, optimal de…
Shape Taylor expansion for wave scattering problems
Gang Bao, Haoran Ma, Jun Lai +1
The Taylor expansion of wave fields with respect to shape parameters has a wide range of applications in wave scattering problems, including inverse scattering, optimal design, and…
WANCO: Weak Adversarial Networks for Constrained Optimization problems
Gang Bao, Dong Wang, Boyi Zou
This paper focuses on integrating the networks and adversarial training into constrained optimization problems to develop a framework algorithm for constrained optimization problem…