19 citations · 26 across the 6 of their papers we have counts for
6 papers
Derivative-Free Recovery of a Nonlinearity in a Free-Boundary DCIS Model
De-Han Chen, Hongyu Liu, Keji Liu
We investigate an inverse coefficient problem for a multidimensional free-boundary model of ductal carcinoma in situ (DCIS), in which the tumor interface is governed by the nonline…
Optimal Mesh Size for Inverse Medium Scattering Problems
Habib Ammari, Yat Tin Chow, Keji Liu
An optimal mesh size of the sampling region can help to reduce computational burden in practical applications. In this work, we investigate optimal choices of mesh sizes for the id…
A Multilevel Sampling Method for Detecting Sources in a Stratified Ocean Waveguide
Keji Liu, Yongzhi Xu, Jun Zou
In the reconstruction process of sound waves in a 3D stratified waveguide, a key technique is to effectively reduce the huge computational demand. In this work, we propose an effic…
Direct Sampling Method for Diffusive Optical Tomography
Yat Tin Chow, Kazufumi Ito, Keji Liu +1
In this work, we are concerned with the diffusive optical tomography (DOT) problem in the case when only one or two pairs of Cauchy data is available. We propose a simple and effic…
Optimal Shape Design by Partial Spectral Data
Habib Ammari, Yat Tin Chow, Keji Liu +1
In this paper, we are concerned with a shape design problem, in which our target is to design, up to rigid transformations and scaling, the shape of an object given either its pola…
A Multilevel Sampling Algorithm for Locating Inhomogeneous Media
Keji Liu, Jun Zou
In the reconstruction process of unknown multiple scattering objects in inverse medium scattering problems, the first important step is to effectively locate some approximate domai…