28 citations · 128 across the 27 of their papers we have counts for
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math.NA2016★ 2 cited
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…
math.NA2016★ 28 cited
An accurate boundary element method for the exterior elastic scattering problem in two dimensions
Gang Bao, Liwei Xu, Tao Yin
This paper is concerned with a Galerkin boundary element method solving the two dimensional exterior elastic wave scattering problem. The original problem is first reduced to the s…
math.NA2016★ 18 cited
A spectral projection method for transmission eigenvalues
Fang Zeng, Jiguang Sun, Liwei Xu
In this paper, we consider a nonlinear integral eigenvalue problem, which is a reformulation of the transmission eigenvalue problem arising in the inverse scattering theory. The bo…