Guanghui Hu (updated on April 15, 2019) 

Beijing Computaional Science Research Center

Building 9, East Zone, ZPark II
No.10 East Xibeiwang Road
Haidian District, Beijing 100193, China
 
Email: hu@csrc.ac.cn



Preprints: 

       A. Alzaalig, G. Hu, X. Liu and J. Sun,  Fast acoustic source imaging using multi-frequency sparse data,  arXiv:1712.02654 . (PDF) 
       G. Hu and A. Rathsfeld, Acoustic scattering from locally perturbed periodic surfaces, WIAS Preprint 2522, 2018.(PDF)
       W. Lu and G. Hu, Time-harmonic acoustic scattering from a non-locally perturbed trapezoidal surface, arXiv:1903.07369 (PDF)  
       J. Elschner and G. Hu, Uniqueness and factorization method for inverse elastic scattering with a single incoming wave, arXiv: 1904.05093 (PDF)
        G. Hu and Y. Kian, Uniqueness and stability for the recovery of a time-dependent source and initial conditions in elastodynamics, arXiv:1812.06215 (PDF)

Publications:

2019:
     J. Elschner, G. Hu and M. Yamamoto, Single logarithmic conditional stability in determining unknown boundaries, to appear in: Appl. Anal., 2019. (PDF)
    G. Hu, X. Li, B.Zhang and H. Zhang, A non-iterative approach to inverse elastic scattering by unbounded rigid rough surfaces, Inverse Problems 35 (2019): 025007.  (PDF) 
    G. Hu, L. Li and J. Zou, Unique determination of a penetrable scatterer of rectangular type for inverse Maxwell equations by a single incoming wave, Inverse Problems 35 (2019): 035006. (PDF)
    Y. Zhao, G. Hu and B. Yan, Uniqueness to inverse acoustic and electromagnetic scattering from locally perturbed rough surfaces, to appear in: Appl. Anal., 2019. (PDF) 
    G. Hu, Y. Kian, P. Li and Y. Zhao, Inverse moving source problems in electrodynamics, to appear in: Inverse Problems, 2019. (PDF)

2018:
     J. Elschner and G. Hu, Acoustic scattering from corners, edges and circular cones, Archive for Rational Mechanics and Analysis, 228 (2018): 653-690. (PDF)
     G. Bao, G. Hu, Y. Kian and T. Yin, Inverse source problems in elastodynamics, Inverse Problems 34 (2018): 045009. (PDF)  
     G. Bao, G. Hu, J. Sun and T. Yin, Direct and inverse elastic scattering from anisotropic media, J. Math. Pures Appl. 117 (2018): 263-301.  (PDF) 
     P. Gibson, G. Hu and Y. Zhao, Inverse medium scattering from periodic structures with fixed-direction incoming waves, Inverse Problems 34 (2018): 075011. (PDF) 
     L. Li, G. Hu and J. Yang, Interface with weakly singular points always scatter,  Inverse Problems 34 (2018), 075002. (PDF)
     G. Hu and Y. Kian, Determination of singular time-dependent coefficients for wave equations from full and partial data,  Inverse Problems and Imaging,  12 (2018): 745-772. (PDF)
     Y. Zhao, G. Hu and X. Yuan, Direct and inverse elastic scattering from a locally perturbed half-plane, Communications in Mathematical Sciences, 16 (2018): 1635-1658. (PDF)
     G. Bao, G. Hu and T. Yin, Time-harmonic acoustic scattering from locally perturbed half-planes, SIAM J. Appl.Math., 78 (2018): 2672-2691. (PDF) 
     G. Hu, X. Liu, P. Li and Y. Zhao, Inverse source problems in electromagnetism, Inverse Problems and Imaging, 12 (2018): 1411-1428. (PDF)

2017:
    T. Abbas, H. Ammari, G. Hu and A. Wahab and J. C. Ye, Two-dimensional elastic scattering coefficients and enhancement of nearly elastic cloaking, J. Elasticity 128 (2017): 203--243. (PDF) 

2016:
    T. Yin, G. Hu and L. Xu, Near-field imaging point-like scatterers and extended elastic solid in a fluid, Commun. Comput. Phys. 19 (2016):  1317-1342. (PDF)
    G. Hu, A. Rathsfeld and T Yin,Finite element method to fluid-solid interaction problems with unbounded periodic interfaces, Numer. Methods Partial Differential Equations, 32 (2016): 5-35. (PDF) 
    G. Hu, J. Li, H. Liu and Q. Wang, A numerical study of complex reconstruction in inverse elastic scattering,  Commun. Comput. Phys. 19 (2016): 1265-1286. (PDF)
    G. Hu, A. Kirsch and T. Yin, Factorization method in inverse interaction problems with bi-periodic interfaces between acoustic and elastic waves, Inverse Probl. Imaging 10 (2016): 103--129. (PDF)
    Y. Guo, D. Hoemberg, G. Hu, J. Li, H. Liu, A time domain sampling method for inverse acoustic scattering problems, J. Comput. Phys. 314 (2016): 647-660. (PDF)
    T. Yin, G. Hu, L. Xu, and B. Zhang, Near-field imaging of obstacles with the factorization method: fluid-solid interaction, Inverse Problems 32 (2016): 015003. (PDF)  
    G. Hu, M. Salo, E. V. Vesalainen, Shape identification in inverse medium scattering problems with a single far-field pattern, SIAM J. Math. Anal. 48 (2016): 152-165.  (PDF)   
   
2015:
    J. Elschner, G. Hu and M. Yamamoto, Uniqueness in inverse elastic scattering from unbounded rigid surfaces of rectangular type, Inverse Problems and Imaging 9 (2015): 127-141. (PDF) 
    G. Hu and M. Yamamoto, Holder stability estimate of the Robin coefficient in corrosion detection problems with a single boundary measurement, Inverse Problems 31 (2015): 115009.(PDF) 
    G. Hu and H. Liu, Nearly cloaking the elastic wave fields, J. Math. Pures Appl. (9), 104 (2015): 1045-1074. (PDF) 
    J. Elschner and G. Hu, Corners and edges always scatter, Inverse Problems 31 (2015): 015003. (PDF) ( Highlight article of the journal in 2015 )  
    G. Hu, X. Liu, F. Qu and B. Zhang, Variational approach to rough surface scattering problems with  Neumann and generalized impedance boundary conditions,  Communications in Mathematical Sciences 13 (2015): 511-537.(PDF) 
    J. Elschner and G. Hu, Elastic scattering by unbounded rough surfaces: Solvability in weighted Sobolev spaces,  Applicable Analysis 94 (2015): 251-278. (PDF)
    G. Hu and A. Rathsfeld, Scattering of time-harmonic electromagnetic plane waves by perfectly conducting diffraction gratings, IMA Appl. Math. 80 (2015): 508-532. (PDF)
    G. Hu, J. Li and H. Liu, Uniqueness in determining refractive indices by formally determined far-field data, Applicable Analysis 94 (2015): 1259-1269.(PDF)

2014:
    D. P. Challa, G. Hu and M. Sini, Multiple scattering of electromagnetic waves by a finite number of point-like obstacles,  Mathematical Models and Methods in Applied Sciences 24 (2014): 863-899. ( Featured article of the journal in 2014 ) (PDF)
    G. Hu, J. Li, H. Liu and H. Sun, Inverse elastic scattering for multiscale rigid bodies with a single far-field measurement,  SIAM J. Imaging Sci. 6 (2014): 2285-2309.(PDF)
    G. Hu, J. Li and H. Liu, Recovering complex elastic scatterers by a single far-field pattern, Journal of Differential Equations 257 (2014): 469-489.(PDF)
    G. Hu and X. Liu, Unique determination of balls and polyhedral scatterers with a single point source wave, Inverse Problems 30 (2014): 065010.(PDF)
    G. Hu, A. Mantile and M. Sini, Direct and inverse acoustic scattering by a collection of extended and point-like scatterers, SIAM Multiscale Modeling and Simulation, 12 (2014): 996-1027.(PDF) 
    G. Hu and A. Rathsfeld, Convergence analysis of the FEM coupled with Fourier-mode expansion for the electromagnetic scattering by biperiodic structures, Electronic Transactions on Numerical Analysis  41 (2014): 350-375.(PDF)
    G. Hu, J. Yang, B. Zhang and H. Zhang, Near-field imaging of scattering obstacles with the factorization method, Inverse Problems 30 (2014): 095005. (PDF)

2013:
   G. Hu, Y. Lu and B. Zhang, The factorization method for inverse elastic scattering from periodic structures, Inverse Problems 29 (2013): 115005. (PDF)
   G. Hu, A. Kirsch and M. Sini, Some inverse problems arising from elastic scattering by rigid obstacles, Inverse Problems 29 (2013): 015009. (PDF)
   G. Hu and M. Sini, Elastic scattering by finitely many point-like obstacles, J. Math. Phys. 54 (2013): 042901-16. (PDF)


2012:
   J. Elschner and G. Hu, Elastic scattering by unbounded rough surfaces,  SIAM J. Math. Anal. 6 (2012): 4101-4127. (PDF)
   J. Elschner and G. Hu, An optimization method in inverse elastic scattering for one-dimensional grating profiles, Communications in Computational Physics 12 (2012): 1434-1460.(PDF)
   G. Hu, Inverse wave scattering by unbounded obstacles: Uniqueness for the two-dimensional Helmholtz equation, Appl. Anal. 91 (2012): 703-717. (PDF)
   J. Elschner and G. Hu, Scattering of plane elastic waves by three-dimensional diffraction gratings, Mathematical Models and Methods in Applied Sciences 22 (2012): 1150019.(PDF)
   G. Hu, F. Qu and B. Zhang, A linear sampling method for inverse problems of diffraction gratings of mixed type , Math. Methods Appl. Sci. 35 (2012): 1047-1066.(PDF)

2011:
   J. Elschner and G. Hu, Uniqueness in inverse scattering of elastic waves by three-dimensional polyhedral diffraction gratings, Inverse Problems and Ill-posed Problems 19 (2011): 717-768. (PDF)
   J. Elschner and G. Hu, Uniqueness in inverse transmission scattering problems for multilayered obstacles , Inverse Problems and Imaging 5 (2011): 793-813.(PDF)
   J. Elschner and G. Hu, Inverse scattering of elastic waves by periodic structures: Uniqueness under the third or fourth kind boundary conditions, Methods and Applications of Analysis 18 (2011): 215-244.(PDF)
   G. Hu and B. Zhang, The linear sampling method for the inverse electromagnetic scattering by a partially coated bi-periodic structure , Math. Methods Appl. Sci., 34 (2011): 509-519.(PDF)
   G. Hu, J. Yang and B. Zhang, Inverse electromagnetic scattering for a bi-periodic inhomogeneous layer on perfectly conducting plates, Appl. Anal., 90 (2011): 317-333. (PDF)

2010:
   G. Hu, F. Qu and B. Zhang, Direct and inverse problems for electromagnetic scattering by a doubly periodic structure with a partially coated dielectric, Math. Methods Appl. Sci., 33 (2010): 147-156.(PDF)
   X. Liu, B. Zhang and G. Hu, Uniqueness in the inverse scattering problem in a piecewise homogeneous medium, Inverse Problems 26 (2010): 015002/1-015002/14. (PDF) 
   J. Elschner and G. Hu, Global uniqueness in determining polygonal periodic structures with a minimal number of incident plane waves, Inverse Problems 26 (2010): 115002/1-115002/23. (PDF)
   J. Elschner and G. Hu, Variational approach to scattering of plane elastic waves by diffraction gratings, Math. Methods Appl. Sci., 33 (2010): 1924-1941.(PDF)

2009:
   G. Hu, X. Liu and B. Zhang, Unique determination of a perfectly conducting ball by a finite number of electric far field data, J. Math. Anal. Appl., 352 (2009): 861-871.(PDF)


Publications in Books:
   J. Elschner and G. Hu, Direct and inverse elastic scattering problems for diffraction gratings,  Radon Series on Computational and Applied Mathematics 14 (2013), eds. by I. G. Graham, U. Langer, J. M. Melenk and M. Sini.(PDF)

Highlights:
   J. Elschner and G. Hu,  Elastic Wave Scattering for Diffraction Gratings, Highlight of WIAS Annual Research Reports in 2012.(PDF)

Edited Conference Proceedings:
  D. Hoemberg and G. Hu (Eds),  Electromagnetics-Modelling, Simulation, Control and Industrial Applications: Discrete and Continuous Dynamical Systems-Series S (DCDS-S)  8 (3), 2015.