23 citations · 152 across the 23 of their papers we have counts for
11 papers · 1 filter
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…
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…
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…