个人简介

工作经历 2020-Now Associate Professor (special), School of Mathematical Sciences, Nankai University (NKU), Tianjin, China. 2017-2020 Assistant Professor, Beijing Computational Science Research Center (CSRC), Beijing, China. 2009-2017 Postdoctoral position, Weierstrass Institute, Berlin, Germany. 2006-2009 Institute of Applied Mathematics, Academy of Mathematics and Systems Science (AMSS), Chinese Academy of Sciences (CAS). PhD thesis: Inverse electromagnetic scattering problems by bounded obstacles and periodic structure (Supervisor: Prof. Bo Zhang). 科研项目 2021-2024 General Program of NSFC: Inversion algorithms based on sample data and scattering model, 12071236. 2017-2020 General Program of NSFC: Inverse medium scattering with fixed-direction incoming waves, 11671028. 2012 -2015 Principal Investigator of the DFG Individual Program (Germany): Direct and inverse interaction problems with unbounded interfaces between acoustic, electromagnetic and elastic waves, HU2111. 2009 -2012 Project Researcher of the DFG Program (Germany): Direct and inverse scattering problems for elastic waves} (led by J. Elschner), EL584. 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.2013-Review.pdf Highlights: J. Elschner and G. Hu, Elastic Wave Scattering for Diffraction Gratings, Highlight of WIAS Annual Research Reports in 2012.WIAS2012.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.

研究领域

偏微分方程反问题、散射问题的分析与计算

Inverse problems for elliptic and hyperbolic equations Asymptotic analysis for point interactions Direct and inverse scattering from unbounded surfaces Integral equation and finite element methods for wave scattering problems Inverse moving source problems

近期论文

查看导师最新文章 （温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

X. Xu, G. Hu, B. Zhang, and H. Zhang, Uniqueness in inverse diffraction grating problems with infinitely many plane waves at a fixed frequency, arXiv. XHZZ-2022.pdf G. Hu and A. Rathsfeld, Radiation conditions for the Helmholtz equation in a half plane filled by an inhomogeneous periodic material, WIAS Preprint 2726, 2020.HR-2020.pdf L. Li, G. Hu and J. Yang, Piecewise-analytic interfaces with weakly singular points of arbitrary order always scatter, arXiv 2010.00748.2010.00748.pdf J.Xiang and G.Hu, Uniqueness in determining binary grating profiles and refractive indices with a single incoming wave, arXiv 2111.11772.2111.11772.pdf X.Yu, G.Hu, W.Lu and A.Rathsfeld, PML and high-accuracy boundary integral equation solver for wave scattering by a locally defected periodic surface, arXiv 2108.008972108.00897.pdf G.Ma and G.Hu, Factorization method for inverse time-harmonic elastic scattering with a single plane wave, arXiv 2109.00787.2109.00787.pdf 2022: G.Ma and G.Hu, Factorization method with one plane wave: from model-driven and data-driven perspectives, Inverse Problems, 38(2022):015003.IP-MH-2022.pdf 2021: Z.Yang, X. Gui, J. Ming and G. Hu, Bayesian approach to inverse time-harmonic acoustic obstacle scattering with phaseless data generated by point source waves, Computer Methods in Applied Mechanics and Engineering，386(2021):114073. CMAME-YGMH-2021.pdf G. Hu, W. Lu and A.Rathsfeld, Acoustic scattering from locally perturbed periodic surfaces. SIAM J. Appl. Math., 81(2021), 2569–2595.SIAM-HLR-2021.pdf Y.Liu, G.Hu and M.Yamamoto, Inverse moving source problem for time-fractional evolution equations: determination of profiles, Inverse Problems, 37(2021): 084001.IP-LHY-2021.pdf M.Choulli, G.Hu and M.Yamamoto, Stability estimate for a semilinear elliptic inverse problem, Nodea-nonlinear Differential Equations and Applications, 28(2021): 37.NDEA-CHY-2021.pdf G. Hu, M. Vashisth and J. Yang, Inverse time-harmonic electromagnetic scattering from coated polyhedral scatterers with a single far-field pattern, SIAM J. Appl. Math. 81 (2021), 25–46. SIAM-2021-HVY.pdf I. B. Aïcha, G. Hu, M. Vashisth and J Zou, Uniqueness for time-dependent inverse problems with single dynamical data, Journal of Mathematical Analysis and Applications 497 (2021):124910. JMAA-2021.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., 100(2021): 361-382.AA-ZHY-2021.pdf 2020: G. Hu and J. Li, Uniqueness to inverse source problems in an inhomogeneous medium with a single far-field pattern, SIAM J. Math. Anal., 52(5), 5213–5231.SIAM.JMA-HL-2020.pdf G. Hu, A. Mantile, M. Sini and T. Yin, Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles, Inverse Problem and Imaging,14 (2020):1025-1056.IPI-HMSY-2020.pdf G. Hu and M. Vashisth, Uniqueness to inverse acoustic scattering from coated polygonal obstacles with a single incoming wave, Inverse Problems,36(2020):105004.IP-HV-2020.pdf G. Hu and Y. Kian, Uniqueness and stability for the recovery of a time-dependent source in elastodynamics, Inverse Problems and Imaging, 14 (2020): 463-487.IPI-HK-2020.pdf G. Hu, P. Li and Y. Zhao, Elastic scattering from rough surfaces in three dimensions, Journal of Differential Equations 269 (2020): 4045-4078.JDE-HLZ-2020.pdf S. Bugarija, P. Gibson, G. Hu, P. Li and Y. Zhao, Inverse scattering for the one-dimensional Helmholtz equation with piecewise constant wave speed, Inverse Problems, 36 (2020): 075008.IP-BGHLZ-2020.pdf Z. Yang, X. Gui, J. Ming and G. Hu, Bayesian approach to inverse time-harmonic acoustic scattering with phaseless far-field data, Inverse Problems 36 (2020): 065012.IP-YGMH-2020.pdf A. Alzaalig, G. Hu, X. Liu and J. Sun,Fast acoustic source imaging using multi_frequency sparse data, Inverse Problems，36 (2020): 025009. Inverse-problems-2020.pdf J. Elschner, G. Hu and M. Yamamoto, Single logarithmic conditional stability in determining unknown boundaries, Applicable Analysis, 99 (2020): 725-746. El-Hu-Ya-AA-2020.pdf G. Hu, Y. Kian and Y. Zhao, Uniqueness to some inverse source problems for the wave equation in unbounded domains, Acta Mathematicae Applicatae Sinica, English Series, 36 (2020) 134–150. AMAS-HKZ-2020.pdf 2019: J. Elschner and G. Hu, Uniqueness and factorization method for inverseelastic scattering with a single incoming wave，Inverse Problems, 35 (2019), 094002 (A special volume dedicated to the memory of Armin Lechleiter).IP-EH-2019.pdf W. Lu and G. Hu, Time-harmonic acoustic scattering from a non-locally perturbed trapezoidal surface, SIAM J. Sci. Comput. 41-3 (2019): B522-B544.https://arxiv.org/abs/1903.07369 H. Zhou, G. Hu and L. Ma, Imaging internal defects with synthetic and experimental data, International Journal of Antennas and Propagation, vol. 2019,Article ID 6956809, 13 pages.IJAP-ZHM-2019.pdf G. Hu, X. Liu, B.Zhang and H. Zhang, A non-iterative approach to inverse elastic scattering by unbounded rigid rough surfaces, Inverse Problems 35 (2019): 025007. IP-HLZZ-2019.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. IP-HLZ-2019.pdf G. Hu, Y. Kian, P. Li and Y. Zhao, Inverse moving source problems in electrodynamics, Inverse Problems 35 (2019): 075001.IP-HKLZ-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.ARMA-EH-2018.pdf G. Bao, G. Hu, Y. Kian and T. Yin, Inverse source problems in elastodynamics, Inverse Problems 34 (2018): 045009. IP-BHKY-2018.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. JMPA-BHSY-2018.pdf P. Gibson, G. Hu and Y. Zhao, Inverse medium scattering from periodic structures with fixed-direction incoming waves, Inverse Problems 34 (2018): 075011.IP-GHZ-2018.pdf L. Li, G. Hu and J. Yang, Interface with weakly singular points always scatter, Inverse Problems 34 (2018), 075002.IP-LHY-2018.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.IPI-HK-2018.pdf G. Hu,X. Yuan and Y. Zhao, Direct and inverse elastic scattering from a locally perturbed half-plane, Communications in Mathematical Sciences, 16 (2018): 1635-1658. CMS-HYZ-2018.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. SIAM.JAM-BHY-2018.pdf G. Hu, X. Liu, P. Li and Y. Zhao, Inverse source problems in electromagnetism, Inverse Problems and Imaging, 12 (2018): 1411-1428.IPI-HLLZ-2018.pdf G. Hu, Y. Liu and M. Yamamoto, Inverse moving source problem for fractional diffusion(-wave) equations: Determination of orbits,Inverse Problems and Related Topics, Conference proceedings of ICIP2: International Conference on Inverse Problems, eds. J. Cheng, S. Lu and M. Yamamoto, Shanghai, China, October 12–14, 2018, page 81-100.Book-proceedings-2020.pdf 2017: T. Abbas, H. Ammari, G. Hu,A. Wahab and J. C. Ye, Two-dimensional elastic scattering coefficients and enhancement of nearly elastic cloaking, J. Elasticity 128 (2017): 203--243.JE-AAHWY-2017.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.CCP-YHX-2016.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.MPDE-HRY-2016.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.CCP-HLLW-2016.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.IPI-HKY-2016.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.JCP-GHHLL-2016.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. IP-YHXZ-2016.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.SIAM.JMA-HSV-2016.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.IPI-EHY-2015.pdf G. Hu and M. Yamamoto, Hölder stability estimate of the Robin coefficient in corrosion detection problems with a single boundary measurement, Inverse Problems 31 (2015):115009.IP-HY-2015.pdf G. Hu and H. Liu, Nearly cloaking the elastic wave fields, J. Math. Pures Appl. (9),104 (2015): 1045–1074.JMPA-HL-2015.pdf J. Elschner and G. Hu, Corners and edges always scatter, Inverse Problems 31 (2015):015003. IP-EH-2015.pdf 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.CMS-HLQZ-2015.pdf J. Elschner and G. Hu, Elastic scattering by unbounded rough surfaces: Solvability in weighted Sobolev spaces, Applicable Analysis 94 (2015): 251–278.AA-EH-2015.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.IMA-HR-2015.pdf G. Hu, J. Li and H. Liu, Uniqueness in determining refractive indices by formallydetermined far-field data, Applicable Analysis 94 (2015): 1259-1269.AA-HLL-2015.pdf 2014: D. P. Challa, G. Hu and M. Sini, Multiple scattering of electromagnetic waves by afinite number of point-like obstacles, Mathematical Model and Methods in Applied Sciences 24 (2014): 863–899. M3AS-CHS-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.SIAM.JIS-HLLS-2014.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.JDE-HLL-2014.pdf G. Hu and X. Liu, Unique determination of balls and polyhedral scatterers with a single point source wave, Inverse Problems 30 (2014): 065010.IP-HL-2014.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.SIAM.MMS-HMS-2014.pdf G. Hu and A. Rathsfeld, Convergence analysis of the FEM coupled with Fourie rmode expansion for the electromagnetic scattering by biperiodic structures, Electronic Transactions on Numerical Analysis 41 (2014): 350-375.ETNA-HR-2014.pdf G. Hu, J. Yang, B. Zhang and H. Zhang, Near-field imaging of scattering obstacleswith the factorization method, Inverse Problems 30 (2014): 095005.IP-HYZZ-2014.pdf 2013: J. Elschner and G. Hu, Direct and inverse elastic scattering problems for diffraction gratings, Radon Series on Computational and Applied Mathematics 14 (2013): 101-134.RSCAM-EH-2013.pdf G. Hu, Y. Lu and B. Zhang, The factorization method for inverse elastic scatteringfrom periodic structures, Inverse Problems 29 (2013): 115005.IP-HLZ-2013.pdf G. Hu, A. Kirsch and M. Sini, Some inverse problems arising from elastic scattering by rigid obstacles, Inverse Problems 29 (2013): 015009.IP-HKS-2013.pdf G. Hu and M. Sini, Elastic scattering by finitely many point-like obstacles, J. Math.Phys. 54 (2013): 042901-16.JMP-HS-2013.pdf 2012: J. Elschner and G. Hu, Elastic scattering by unbounded rough surfaces, SIAM J. Math. Anal. 6 (2012): 4101-4127.SIAM.JMA-EH-2012.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.CICP-EH-2012.pdf G. Hu, Inverse wave scattering by unbounded obstacles: Uniqueness for the two dimensional Helmholtz equation, Appl. Anal. 91 (2012): 703-717.AA-H-2012.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.M3AS-EH-2012.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.MMAS-HQZ-2012.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) 717-768JIIP-EH-2011.pdf J. Elschner and G. Hu, Uniqueness in inverse transmission scattering problems for multilayered obstacles, Inverse Problems and Imaging 5 No. 4 (2011) 793-813 IPI-EH-2011.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.MAA-EH-2011.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.MMAS-HZ-2011.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.AA-HYZ-2011.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.MMAS-HQZ-2010.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.IP-LZH-2010.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.IP-EH-2010.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.MMAS-EH-2010.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.JMAA-HLZ-2009.pdf