52 citations · 257 across the 50 of their papers we have counts for
7 papers · 1 filter
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…