7 citations · 11 across the 8 of their papers we have counts for
8 papers
A rigorous theory on electromagnetic diffraction by a planar aperture in a perfectly conducting screen
Ying Liang, Hai Zhang
In this paper, we revisit the classic problem of diffraction of electromagnetic waves by an aperture in a perfectly conducting plane. We formulate the diffraction problem using a b…
Stability for inverse source problems of the stochastic Helmholtz equation with a white noise
Peijun Li, Ying Liang
This paper is concerned with the stability estimates for inverse source problems of the stochastic Helmholtz equation driven by white noise. The well-posedness is established for t…
A data-assisted two-stage method for the inverse random source problem
Peijun Li, Ying Liang, Yuliang Wang
We propose a data-assisted two-stage method for solving an inverse random source problem of the Helmholtz equation. In the first stage, the regularized Kaczmarz method is employed…
A direct probing method of an inverse problem for the Eikonal equation
Kazufumi Ito, Ying Liang
In this paper, we propose a direct probing method for the inverse problem based on the Eikonal equation. For the Eikonal equation with a point source, the viscosity solution repres…
Least-Squares Method for Inverse Medium Problems
Kazufumi Ito, Ying Liang, Jun Zou
We present a two-stage least-squares method to inverse medium problems of reconstructing multiple unknown coefficients simultaneously from noisy data. A direct sampling method is a…
Acoustic scattering and field enhancement through a single aperture
Ying Liang, Jun Zou
We study the acoustic field enhancement through a circular hole in a hard plate of finite thickness in this work. We derive the boundary-integral equations corresponding to the aco…
Weak Galerkin Method for Electrical Impedance Tomography
Ying Liang, Jun Zou
In this work, we propose and analyse a weak Galerkin method for the electrical impedance tomography based on a bounded variation regularization. We use the complete electrode model…
Mathematical and numerical study of a three-dimensional inverse eddy current problem
Junqing Chen, Ying Liang, Jun Zou
We study an inverse problem associated with an eddy current model. We first address the ill-posedness of the inverse problem by proving the compactness of the forward map with resp…