47 citations · 67 across the 32 of their papers we have counts for
24 papers
Solving Schiffer's problem in inverse scattering theory almost surely
Hongyu Liu
In this short note, we present a probabilistic perspective on the Schiffer's problem in the inverse scattering theory, which asks whether one can uniquely determine the shape of an…
A Memory Reduction Compact Gas Kinetic Scheme on 3D Unstructured Meshes
Hongyu Liu, Xing Ji, Yunpeng Mao +2
This paper introduces a memory-reduction third-order compact gas-kinetic scheme (CGKS) for solving compressible Euler and Navier-Stokes equations on 3D unstructured meshes. The sch…
Inverse problems for coupled nonlocal nonlinear systems arising in mathematical biology
Ming-Hui Ding, Hongyu Liu, Catharine W. K. Lo
In this paper, we propose and study several inverse problems of determining unknown parameters in nonlocal nonlinear coupled PDE systems, including the potentials, nonlinear intera…
Simultaneously Cloaking Electric and Hydrodynamic Fields via Electro-osmosis
Hongyu Liu, Zhi-Qiang Miao, Guang-Hui Zheng
In this paper, we develop a general mathematical framework for the electro-osmosis problem to design simultaneous microscale electric and hydrodynamic cloaking in a Hele-Shaw confi…
Inverse boundary problem for a mean field game system with probability density constraint
Hongyu Liu, Shen Zhang
By following the study in [24], we consider an inverse boundary problem for the mean field game system where a probability density constraint is enforced on the game agents. That i…
A Compact Gas-Kinetic Scheme with Scalable Geometric Multigrid Acceleration for Steady-State Computation on 3D Unstructured Meshes
Hongyu Liu, Xing Ji, Yunpeng Mao +2
In this paper, we present an advanced high-order compact gas-kinetic scheme (CGKS) for 3D unstructured mixed-element meshes, augmented with a geometric multigrid technique to accel…