23 citations · 74 across the 38 of their papers we have counts for
7 papers · 1 filter
A numerical algorithm for inverse problem from partial boundary measurement arising from mean field game problem
Yat Tin Chow, Samy Wu Fung, Siting Liu +2
In this work, we consider a novel inverse problem in mean-field games (MFG). We aim to recover the MFG model parameters that govern the underlying interactions among the population…
Continuous data assimilation for two-phase flow: analysis and simulations
Yat Tin Chow, Wing Tat Leung, Ali Pakzad
We propose, analyze, and test a novel continuous data assimilation two-phase flow algorithm for reservoir simulation. We show that the solutions of the algorithm, constructed using…
A Direct Sampling Method for the Inversion of the Radon Transform
Yat Tin Chow, Fuqun Han, Jun Zou
We propose a novel direct sampling method (DSM) for the effective and stable inversion of the Radon transform. The DSM is based on a generalization of the important almost orthogon…
A Direct Sampling Method for Simultaneously Recovering Inhomogeneous Inclusions of Different Nature
Yat Tin Chow, Fuqun Han, Jun Zou
In this work, we investigate a class of elliptic inverse problems and aim to simultaneously recover multiple inhomogeneous inclusions arising from two different physical parameters…
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…
Algorithm for Hamilton-Jacobi equations in density space via a generalized Hopf formula
Yat Tin Chow, Wuchen Li, Stanley Osher +1
We design fast numerical methods for Hamilton-Jacobi equations in density space (HJD), which arises in optimal transport and mean field games. We overcome the curse-of-infinite-dim…
Phased and phaseless domain reconstruction in inverse scattering problem via scattering coefficients
Habib Ammari, Yat Tin Chow, Jun Zou
In this work we shall review the (phased) inverse scattering problem and then pursue the phaseless reconstruction from far-field data with the help of the concept of scattering coe…