52 citations · 257 across the 50 of their papers we have counts for
53 papers
Inverse wave-number-dependent source problems for the Helmholtz equation
Hongxia Guo, Guanghui Hu
This paper is concerned with the multi-frequency factorization method for imaging the support of a wave-number-dependent source function. It is supposed that the source function is…
Uniqueness in determining rectangular grating profiles with a single incoming wave (Part II): TM polarization case
Jianli Xiang, Guanghui Hu
This paper is concerned with an inverse transmission problem for recovering the shape of a penetrable rectangular grating sitting on a perfectly conducting plate. We consider a gen…
Finite element and integral equation methods to conical diffraction by imperfectly conducting gratings
Guanghui Hu, Jiayi Zhang, Linlin Zhu
In this paper we study the variational method and integral equation methods for a conical diffraction problem for imperfectly conducting gratings modeled by the impedance boundary…
Well-posedness of grating diffraction problems for plane wave incidence: explicit dependence on wavenumbers and incident angles
Linlin Zhu, Guanghui Hu
Suppose that a plane wave is incident onto an impenetrable grating profile of Dirichlet or Impedance type or a penetrable grating. The grating interface is assumed to be given by a…
Imaging a moving point source from multi-frequency data measured at one and sparse observation points (part II): near-field case in 3D
Guanqiu Ma, Hongxia Guo, Guanghui Hu
In this paper, we introduce a frequency-domain approach to extract information on the trajectory of a moving point source. The method hinges on the analysis of multi-frequency near…
Towards the efficient calculation of quantity of interest from steady Euler equations I: a dual-consistent DWR-based h-adaptive Newton-GMG solver
Jingfeng Wang, Guanghui Hu
The dual consistency is an important issue in developing stable DWR error estimation towards the goal-oriented mesh adaptivity. In this paper, such an issue is studied in depth bas…
Well-posedness and convergence analysis of PML method for time-dependent acoustic scattering problems over a locally rough surface
Hongxia Guo, Guanghui Hu
We aim to analyze and calculate time-dependent acoustic wave scattering by a bounded obstacle and a locally perturbed non-selfintersecting curve. The scattering problem is equivale…
Imaging a moving point source from multi-frequency data measured at one and sparse observation directions (part I): far-field case
Hongxia Guo, Guanghui Hu, Guanqiu Ma
We propose a multi-frequency algorithm for imaging the trajectory of a moving point source from one and sparse far-field observation directions in the frequency domain. The startin…
Direct sampling method to inverse wave-number-dependent source problems (part I): determination of the support of a stationary source
Hongxia Guo, Guanghui Hu, Mengjie Zhao
This paper is concerned with a direct sampling method for imaging the support of a frequency-dependent source term embedded in a homogeneous and isotropic medium. The source term i…
Uniqueness in inverse diffraction grating problems with infinitely many plane waves at a fixed frequency
Xiaoxu Xu, Guanghui Hu, Bo Zhang +1
This paper is concerned with the inverse diffraction problems by a periodic curve with Dirichlet boundary condition in two dimensions. It is proved that the periodic curve can be u…
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…
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…
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…
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…
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…
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…
Piecewise-analytic interfaces with weakly singular points of arbitrary order always scatter
Long Li, Guanghui Hu, Jiansheng Yang
It is proved that an inhomogeneous medium whose boundary contains a weakly singular point of arbitrary order scatters every incoming wave. Similarly, a compactly supported source t…
An orthogonalization-free parallelizable framework for all-electron calculations in density functional theory
Bin Gao, Guanghui Hu, Yang Kuang +1
All-electron calculations play an important role in density functional theory, in which improving computational efficiency is one of the most needed and challenging tasks. In the m…
Bayesian Approach to Inverse Time-harmonic Acoustic Scattering from Sound-soft Obstacles with Phaseless Data
Zhipeng Yang, Xinping Gui, Ju Ming +1
This paper concerns the Bayesian approach to inverse acoustic scattering problems of inferring the position and shape of a sound-soft obstacle from phaseless far-field data generat…
Uniqueness to inverse acoustic scattering from coated polygonal obstacles with a single incoming wave
Guang-Hui Hu, Manmohan Vashisth
It is proved that a connected polygonal obstacle coated by thin layers together with its surface impedance function can be determined uniquely from the far field pattern of a singl…
Uniqueness for time-dependent inverse problems with single dynamical data
Ibtissem Ben Aïcha, Guanghui Hu, Manmohan Vashisth +1
In this work, we investigate the shape identification and coefficient determination associated with two time-dependent partial differential equations in two dimensions. We consider…
Inverse time-harmonic electromagnetic scattering from coated polyhedral scatterers with a single far-field pattern
Guang-Hui Hu, Manmohan Vashisth, Jiaqing Yang
It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by the electric far-field pattern of a non-vanishing incident field. The incoming wave…
Inverse moving source problem for time-fractional evolution equations: Determination of profiles
Yikan Liu, Guanghui Hu, Masahiro Yamamoto
This article is concerned with two inverse problems on determining moving source profile functions in evolution equations with a derivative order in time. In the first…
Stability inequality for a semilinear elliptic inverse problem
Mourad Choulli, Guanghui Hu, Masahiro Yamamoto
We establish a logarithmic stability inequality for the inverse problem of determining the non linear term, appearing in a semilinear BVP, from the corresponding Dirichlet-to-Neuma…