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20102023
most citedAcoustic Scattering from Corners, Edges and Circular Cones

52 citations · 257 across the 50 of their papers we have counts for

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Showing 2021Show all

6 papers · 1 filter

math.AP2021

Uniqueness in determining binary grating profiles and refractive indices with a single incoming wave

Jianli Xiang, Guanghui Hu

We investigate inverse diffraction problems for penetrable gratings in a piecewise constant medium. In the TE polarization case, it is proved that a binary grating profile together…

math.NA2021★ 3 cited

Factorization method for inverse time-harmonic elastic scattering with a single plane wave

Guanqiu Ma, Guanghui Hu

This paper is concerned with the factorization method with a single far-field pattern to recover an arbitrary convex polygonal scatterer/source in linear elasticity. The approach a…

math.NA2021★ 1 cited

PML and high-accuracy boundary integral equation solver for wave scattering by a locally defected periodic surface

Xiuchen Yu, Guanghui Hu, Wangtao Lu +1

This paper studies the PML method for wave scattering in a half space of homogeneous medium bounded by a two-dimensional, perfectly conducting, and locally defected periodic surfac…

quant-ph2021★ 5 cited

The Wigner Function of Ground State and One-Dimensional Numerics

Hongfei Zhan, Zhenning Cai, Guanghui Hu

In this paper, the ground state Wigner function of a many-body system is explored theoretically and numerically. First, an eigenvalue problem for Wigner function is derived based o…

math.NA2021

On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation

Guanghui Hu, Hehu Xie, Fei Xu

Based on the numerical method proposed in [G. Hu, X. Xie, F. Xu, J. Comput. Phys., 355 (2018), 436-449.] for Kohn-Sham equation, further improvement on the efficiency is obtained i…

math.NA2021★ 6 cited

Factorization method with one plane wave: from model-driven and data-driven perspectives

Guanqiu Ma, Guanghui Hu

The factorization method by Kirsch (1998) provides a necessary and sufficient condition for characterizing the shape and position of an unknown scatterer by using far-field pattern…