1 citations · 4 across the 14 of their papers we have counts for
14 papers
Inverse scattering for three-dimensional random obstacles with multi-frequency data
Zhiqi Sun, Yiwen Lin
In many practical scenarios the shapes of scatterers exhibit uncertain geometric variations arising from diverse physical or environmental factors. For inverse scattering problems…
Inverse acoustic scattering for random obstacles with multi-frequency data
Zhiqi Sun, Xiang Xu, Yiwen Lin
We study an inverse random obstacle scattering problems in where the scatterer is formulated by a Gaussian process defined on the angular parameter domain. Equipped…
Random Regularity of the Vlasov-Poisson System with Random Initial Inputs in the Quasineutral Regime
Wenyi Wang, Yiwen Lin
The Vlasov-Poisson system is widely used in plasma physics and other related fields. In this paper, we study the Vlasov-Poisson system with initial uncertainty in the quasineutral…
Efficient numerical methods for the uncertain Boltzmann equation based on a hybrid solver
Yiwen Lin, Liu Liu
In this work, we propose and compare several approaches to solve the Boltzmann equation with uncertain parameters, including multi-level Monte Carlo and multi-fidelity methods that…
An inverse random diffraction grating problem for the Helmholtz equation
Zhiqi Sun, Yiwen Lin
This paper investigates the inverse scattering problem of time-harmonic plane waves incident on a perfectly reflecting random periodic structure. To simulate random perturbations a…
On the mean-field limit of the Cucker-Smale model with Random Batch Method
Yuelin Wang, Yiwen Lin
In this work, we focus on the mean-field limit of the Random Batch Method (RBM) for the Cucker-Smale model. Different from the classical mean-field limit analysis, the chaos in thi…
On a class of multi-fidelity methods for the semiclassical Schrödinger equation with uncertainties
Yiwen Lin, Liu Liu
In this paper, we study the semiclassical Schrödinger equation with random parameters and develop several robust multi-fidelity methods. We employ the time-splitting Fourier pseudo…
Error estimates of a bi-fidelity method for a multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with random inputs
Yiwen Lin, Shi Jin
Uniform error estimates of a bi-fidelity method for a kinetic-fluid coupled model with random initial inputs in the fine particle regime are proved in this paper. Such a model is a…
A priori bounds for elastic scattering by deterministic and random unbounded rough surfaces
Tianjiao Wang, Yiwen Lin, Xiang Xu
This paper investigates the elastic scattering by unbounded deterministic and random rough surfaces, which both are assumed to be graphs of Lipschitz continuous functions. For the…
On uniqueness of elastic scattering from a cavity
Tianjiao Wang, Yiwen Lin, Xiang Xu
The paper considers direct and inverse elastic scattering from a cavity in homogeneous medium with Dirichlet and Neumann boundary conditions. For direct scattering, existence and u…
Asymptotic-preserving schemes for kinetic-fluid modeling of mixture flows with distinct particle sizes
Shi Jin, Yiwen Lin
We consider coupled models for particulate flows, where the disperse phase is made of particles with distinct sizes. We are thus led to a system coupling the incompressible Navier-…
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…
Energy estimates and hypocoercivity analysis for a multi-phase Navier-Stokes-Vlasov-Fokker-Planck system with uncertainty
Shi Jin, Yiwen Lin
This paper is concerned with a kineitc-fluid model with random initial inputs in the fine particle regime, which is a system coupling the incompressible Navier-Stokes equations and…
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…