28 citations · 103 across the 20 of their papers we have counts for
21 papers
Stability for the Helmholtz equation in deterministic and random periodic structures
Gang Bao, Yiwen Lin, Xiang Xu
Stability results for the Helmholtz equations in both deterministic and random periodic structures are proved in this paper. Under the assumption of excluding resonances, by a vari…
An Adaptive Finite Element DtN Method for Maxwell's Equations
Gang Bao, Mingming Zhang, Xue Jiang +2
This paper is concerned with a numerical solution to the scattering of a time-harmonic electromagnetic wave by a bounded and impenetrable obstacle in three dimensions. The electrom…
Recovering point sources for the inhomogeneous Helmholtz equation
Gang Bao, Yuantong Liu, Faouzi Triki
The paper is concerned with an inverse point source problem for the Helmholtz equation. It consists of recovering the locations and amplitudes of a finite number of radiative point…
An adaptive finite element DtN method for the elastic wave scattering problem in three dimensions
Gang Bao, Peijun Li, Xiaokai Yuan
Consider the elastic scattering of an incident wave by a rigid obstacle in three dimensions, which is formulated as an exterior problem for the Navier equation. By constructing a D…
An inverse spectral problem for a damped wave operator
Gang Bao, Xiang Xu, Jian Zhai
This paper proposes a new and efficient numerical algorithm for recovering the damping coefficient from the spectrum of a damped wave operator, which is a classical Borg-Levinson i…
An adaptive finite element DtN method for the elastic wave scattering by biperiodic structures
Gang Bao, Xue Jiang, Peijun Li +1
Consider the scattering of a time-harmonic elastic plane wave by a bi-periodic rigid surface. The displacement of elastic wave motion is modeled by the three-dimensional Navier equ…
Stability for the multifrequency inverse medium problem
Gang Bao, Faouzi Triki
The solution of a multi-frequency 1d inverse medium problem consists of recovering the refractive index of a medium from measurements of the scattered waves for multiple frequencie…
Inverse scattering by a random periodic structure
Gang Bao, Yiwen Lin, Xiang Xu
This paper develops an efficient numerical method for the inverse scattering problem of a time-harmonic plane wave incident on a perfectly reflecting random periodic structure. The…
Recovering simultaneously a potential and a point source from Cauchy data
Gang Bao, Yuantong Liu, Faouzi Triki
This paper is devoted to the inverse problem of recovering simultaneously a potential and a point source in a Shrödinger equation from the associated nonlinear Dirichlet to Neumann…
An adaptive finite element DtN method for the three-dimensional acoustic scattering problem
Gang Bao, Mingming Zhang, Bin Hu +1
This paper is concerned with a numerical solution of the acoustic scattering by a bounded impenetrable obstacle in three dimensions. The obstacle scattering problem is formulated a…
Multi-frequency iterative methods for the inverse medium scattering problems in elasticity
Gang Bao, Tao Yin, Fang Zeng
This paper concerns the reconstruction of multiple elastic parameters (Lamé parameters and density) of an inhomogeneous medium embedded in an infinite homogeneous isotropic backgro…
Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions
Gang Bao, Liwei Xu, Tao Yin
In this paper, we consider the boundary integral equation (BIE) method for solving the exterior Neumann boundary value problems of elastic and thermoelastic waves in three dimensio…
Inverse source problems in elastodynamics
Gang Bao, Guanghui Hu, Yavar Kian +1
We are concerned with time-dependent inverse source problems in elastodynamics. The source term is supposed to be the product of a spatial function and a temporal function with com…
Stability for the inverse source problems in elastic and electromagnetic waves
Gang Bao, Peijun Li, Yue Zhao
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 curre…
Direct and Inverse Elastic Scattering From Anisotropic Media
Gang Bao, Guanghui Hu, Jiguang Sun +1
Assume a time-harmonic elastic wave is incident onto a penetrable anisotropic body embedded into a homogeneous isotropic background medium. We propose an equivalent variational for…
Inverse Random Source Scattering for Elastic Waves
Gang Bao, Chuchu Chen, Peijun Li
This paper is concerned with the direct and inverse random source scattering problems for elastic waves where the source is assumed to be driven by an additive white noise. Given t…
An accurate boundary element method for the exterior elastic scattering problem in two dimensions
Gang Bao, Liwei Xu, Tao Yin
This paper is concerned with a Galerkin boundary element method solving the two dimensional exterior elastic wave scattering problem. The original problem is first reduced to the s…
Stability for the lens rigidity problem
Gang Bao, Hai Zhang
Let be a Riemannian metric for () which differs from the Euclidean metric only in a smooth and strictly convex bounded domain . The lens rigidity pro…
Nearly Cloaking the Full Maxwell Equations: Cloaking Active Contents with General Conducting Layers
Gang Bao, Hongyu Liu, Jun Zou
The regularized near-cloak via the transformation optics approach in the time-harmonic electromagnetic scattering is considered. This work extends the existing studies mainly in tw…
Sensitivity Analysis of an Inverse Problem for the Wave Equation with Caustics
Gang Bao, Hai Zhang
The paper investigates the sensitivity of the inverse problem of recovering the velocity field in a bounded domain from the boundary dynamic Dirichlet-to-Neumann map (DDtN) for the…
Nearly Cloaking the Full Maxwell Equations
Gang Bao, Hongyu Liu
The approximate cloaking is investigated for time-harmonic Maxwell's equations via the approach of transformation optics. The problem is reduced to certain boundary effect estimate…