23 citations · 152 across the 23 of their papers we have counts for
24 papers
Mathematical and numerical study of an inverse source problem for the biharmonic wave equation
Yan Chang, Yukun Guo, Tao Yin +1
In this paper, we study the inverse source problem for the biharmonic wave equation. Mathematically, we characterize the radiating sources and non-radiating sources at a fixed wave…
A PML method for signal-propagation problems in axon
Xue Jiang, Maohui Lyu, Tao Yin +1
This work is focused on the modelling of signal propagations in myelinated axons to characterize the functions of the myelin sheath in the neural structure. Based on reasonable ass…
A highly accurate perfectly-matched-layer boundary integral equation solver for acoustic layered-medium problems
Wangtao Lu, Liwei Xu, Tao Yin +1
Based on the perfectly matched layer (PML) technique, this paper develops a high-accuracy boundary integral equation (BIE) solver for acoustic scattering problems in locally defect…
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains
Oscar P. Bruno, Tao Yin
This paper proposes a frequency-time hybrid solver for the time-dependent wave equation in two-dimensional interior spatial domains. The approach relies on four main elements, name…
Spectral Galerkin method for solving elastic wave scattering problems with multiple open arcs
Carlos Jerez-Hanckes, Jose Pinto, Tao Yin
We study the elastic time-harmonic wave scattering problems on unbounded domains with boundaries composed of finite collections of disjoints finite open arcs (or cracks) in two dim…
On the hyper-singular boundary integral equation methods for dynamic poroelasticity: three dimensional case
Lu Zhang, Liwei Xu, Tao Yin
In our previous work [SIAM J. Sci. Comput. 43(3) (2021) B784-B810], an accurate hyper-singular boundary integral equation method for dynamic poroelasticity in two dimensions has be…
On the generalized Calderón formulas for closed- and open-surface elastic scattering problems
Liwei Xu, Tao Yin
The Calderón formulas (i.e., the combination of single-layer and hyper-singular boundary integral operators) have been widely utilized in the process of constructing valid boundary…
Hybrid quantum-classical algorithms for solving quantum chemistry in Hamiltonian-wavefunction space
Zhan-Hao Yuan, Tao Yin, Dan-Bo Zhang
Variational quantum eigensolver~(VQE) typically optimizes variational parameters in a quantum circuit to prepare eigenstates for a quantum system. Its applications to many problems…
An accurate hyper-singular boundary integral equation method for dynamic poroelasticity in two dimensions
Lu Zhang, Liwei Xu, Tao Yin
This paper is concerned with the boundary integral equation method for solving the exterior Neumann boundary value problem of dynamic poroelasticity in two dimensions. The main con…
Variational quantum eigensolvers by variance minimization
Dan-Bo Zhang, Zhan-Hao Yuan, Tao Yin
Variational quantum eigensolver(VQE) typically minimizes energy with hybrid quantum-classical optimization, which aims to find the ground state. Here, we propose a VQE by minimizin…
A Windowed Green Function method for elastic scattering problems on a half-space
Oscar P. Bruno, Tao Yin
This paper presents a windowed Green function (WGF) method for the numerical solution of problems of elastic scattering by "locally-rough surfaces" (i.e., local perturbations of a…
Inverse conductivity problem with internal data
Faouzi Triki, Tao Yin
This paper concerns the reconstruction of a scalar coefficient of a second-order elliptic equation in divergence form posed on a bounded domain from internal data. This theory find…
Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles
Guanghui Hu, Andrea Mantile, Mourad Sini +1
This paper concerns the time-harmonic direct and inverse elastic scattering by an extended rigid elastic body surrounded by a finite number of point-like obstacles. We first justif…
Collective optimization for variational quantum eigensolvers
Dan-Bo Zhang, Tao Yin
Variational quantum eigensolver (VQE) optimizes parameterized eigenstates of a Hamiltonian on a quantum processor by updating parameters with a classical computer. Such a hybrid qu…
Regularized integral equation methods for elastic scattering problems in three dimensions
Oscar P. Bruno, Tao Yin
This paper presents novel methodologies for the numerical simulation of scattering of elastic waves by both closed and open surfaces in three-dimensional space. The proposed approa…
Weighted integral solvers for elastic scattering by open arcs in two dimensions
Oscar P. Bruno, Liwei Xu, Tao Yin
We present a novel approach for the numerical solution of problems of elastic scattering by open arcs in two dimensions. Our methodology relies on the composition of weighted versi…
Multi-frequency iterative methods for the inverse medium scattering problems in elasticity
Gang Bao, Tao Yin, Fang Zeng
This paper concerns the reconstruction of multiple elastic parameters (Lamé parameters and density) of an inhomogeneous medium embedded in an infinite homogeneous isotropic backgro…
Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions
Gang Bao, Liwei Xu, Tao Yin
In this paper, we consider the boundary integral equation (BIE) method for solving the exterior Neumann boundary value problems of elastic and thermoelastic waves in three dimensio…
Inverse source problems in elastodynamics
Gang Bao, Guanghui Hu, Yavar Kian +1
We are concerned with time-dependent inverse source problems in elastodynamics. The source term is supposed to be the product of a spatial function and a temporal function with com…
Direct and Inverse Elastic Scattering From Anisotropic Media
Gang Bao, Guanghui Hu, Jiguang Sun +1
Assume a time-harmonic elastic wave is incident onto a penetrable anisotropic body embedded into a homogeneous isotropic background medium. We propose an equivalent variational for…
Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods
Liwei Xu, Tao Yin
It is well known that the Fourier series Dirichlet-to-Neumann (DtN) boundary condition can be used to solve the Helmholtz equation in unbounded domains. In this work, applying such…
Boundary integral equation methods for the two dimensional fluid-solid interaction problem
Tao Yin, George C. Hsiao, Liwei Xu
This paper is concerned with boundary integral equation methods for solving the two-dimensional fluid-solid interaction problem. We reduce the problem to three differential systems…
Polaronic effects in one- and two-band quantum systems
Tao Yin, Daniel Cocks, Walter Hofstetter
In this work we study the formation and dynamics of polarons in a system with a few impurities in a lattice immersed in a Bose-Einstein condensate (BEC). This system has been exper…
Stable Heteronuclear Few-Atom Bound States in Mixed Dimensions
Tao Yin, Peng Zhang, Wei Zhang
We study few-body problems in mixed dimensions with heavy atoms trapped individually in parallel one-dimensional tubes or two-dimensional disks, and a single light atom t…