Recent Publications by Hongyu
Liu
Books
1.
Youjun Deng and Hongyu Liu
Spectral Theory of Localized Resonances and Applications
Springer, Singapore; Science Press, Beijing, 2023
2. Huaian
Diao and Hongyu Liu
Spectral Geometry and Inverse Scattering Theory
Springer, Switzerland, 2023
3.
Jingzhi Li and Hongyu Liu
Numerical
Methods for Inverse Scattering Problems
Springer, Singapore; Science Press, Beijing,
2023
Preprints
4. Michael V. Klibanov, Jingzhi Li and Hongyu
Liu
Coefficient inverse problems for a generalized mean field games system
with the final overdetermination
arXiv
5. Oleg Imanuvilov, Hongyu Liu and Masahiro
Yamamoto
Lipschitz Stability for determination of states and
inverse source problem for the mean field game equations
arXiv
6. Michael V. Klibanov,
Jingzhi Li and Hongyu Liu
On the mean field games system with the lateral
Cauchy Data via Carleman estimates
arXiv
7. Hongyu Liu and Shen Zhang
Simultaneously recovering running cost and
Hamiltonian in mean filed games system
arXiv
8. Hongyu Liu and Catharine
W. K. Lo
Determining a parabolic system by boundary
observation of its non-negative solutions with biological applications
arXiv
9. Youjun Deng, Lingzheng
Kong, Hongyu Liu and Liyan Zhu
Elastostatics with
multi-layer metamaterial structures and an algebraic framework for polariton
resonances
arXiv
10. Hongyu Liu, Zhi-Qiang Miao
and Guang-Hui Zheng
A mathematical theory of microscale hydrodynamic
cloaking and shielding by electro-osmosis
arXiv
11. Keji Liu and Hongyu Liu
Direct imaging of inhomogeneities in a 3D shallow
ocean waveguide with an icecap
arXiv
12. Huaian Diao, Hongyu Liu
and Longyue Tao
Stable determination of an impedance obstacle by a
single far-field measurement
arXiv
13. Rongliang Chen, Youjun
Deng, Yang Gao, Jingzhi Li and Hongyu Liu
Locating multiple magnetized anomalies by geomagnetic
monitoring
arXiv
14. Keji Liu and Hongyu
Liu
On forward and inverse problems for the DCIS model in
mathematical biology
arXiv
15. Hongyu Liu and Shen Zhang
On an inverse boundary problem for mean field games
arXiv
16. Bochao Chen, Yixian Gao,
Yong Li and Hongyu Liu
Resonant modal approximation of time-harmonic elastic
scattering from nano-bubbles in elastic materials
arXiv
17. Huaian Diao, Xiaoxu Fei,
Hongyu Liu and Li Wang
Determining anomalies in a semilinear elliptic
equation by a minimal number of measurements
arXiv
18. Huaian Diao, Xiaoxu Fei
and Hongyu Liu
Local geometric properties of conductive transmission
eigenfunctions and applications
arXiv
19. Huaian Diao, Xiaoxu Fei, Hongyu Liu and Ke
Yang
Visibility, invisibility and unique recovery of inverse electromagnetic
problems with conical singularities
arXiv
20. Youzi He, Hongyu Liu and
Xianchao Wang
Invisibility enables super-visibility in
electromagnetic imaging
arXiv
21. Yi-Hsuan Lin, Hongyu Liu
and Xu Liu
Determining a nonlinear hyperbolic system with
unknown sources and nonlinearity
arXiv
Accepted/In Press
1. Yan Jiang, Hongyu Liu, Jiachuan Zhang
and Kai Zhang
Spectral
patterns of elastic transmission eigenfunctions: boundary localisation, surface
resonance and stress concentration
2. Michael V. Klibanov, Jingzhi Li and
Hongyu Liu
3. Habib Ammari, Yat Tin Chow, Hongyu Liu and
Mahesh Sunkula
Quantum
integrable systems and concentration of plasmon resonance
Journal of the European Mathematical
Society, 2022 arXiv
Published
2. Oleg Imanuvilov, Hongyu Liu and Masahiro
Yamamoto
Unique
continuation for a mean field game system
Applied Mathematics Letter, 145
(2023), 108757. arXiv
3. Hongyu Liu, Chenchen Mou and Shen Zhang
Inverse problems for mean field games
Inverse Problems, 39 (2023), no. 8, Paper No.
085003, 29pp. arXiv
4. Youzi He, Hongyu Liu and Xianchao Wang
A
novel quantitative inverse scattering scheme using interior resonant modes
Inverse Problems, 39 (2023), no. 8, Paper No. 085002, 24pp. arXiv
5. Yan Chang, Yukun Guo, Hongyu Liu and Deyue
Zhang
Recovering Source location, polarization, and shape of
obstacle from elastic scattering data
Journal of Computational Physics, 489 (2023), Paper No. 112289.
arXiv
6. Yixian Gao, Hongyu Liu and Yang Liu
On an inverse problem for the plate equation with passive
measurement
SIAM
Journal on Applied Mathematics, 83 (2023), no. 3,
1196—1214. arXiv
7. Yat Tin Chow, Youjun Deng, Hongyu Liu and
Mahesh Sunkula
Surface concentration and transmission eigenfunctions
Archive
for Rational Mechanics and Analysis, 247 (2023), no. 3, 54. arXiv
8. Hongyu Liu and Shiqi Ma
Determining a random source in a Schrӧdinger
equation involving an unknown potential
Mathematische
Zeitschrift, 304 (2023), Article number 28. arXiv
9. Hongyu Liu and Masahiro Yamamoto
Stability in determination of states for the mean field game
equations
Communications on Analysis and Computation, 1
(2023), no. 2, 157—167. doi: 10.3934/cac.2023009 arXiv
10. Habib Ammari, Yat Tin Chow
and Hongyu Liu
Quantum ergodicity and localization of plasmon resonances
Journal of Functional Analysis, 285 (2023), no.
4, Paper No. 109976. arXiv
11. Ming-Hui Ding, Hongyu Liu
and Guang-Hui Zheng
Shape reconstructions by using plasmon
resonances with enhanced sensitivity
Journal of Computational Physics, 486 (2023),
112131.
12. Hongjie Li, Hongyu
Liu and Jun Zou
Elastodynamical
13. Yi-Hsuan Lin and Hongyu Liu
Inverse problems for fractional equations
with a minimal number of measurements
Communications on Analysis and Computation, 1
(2023), 72-93. https://doi.org/10.3934/cac.2023005
14. Yi-Hsuan Lin, Hongyu Liu,
Xu Liu and Shen Zhang
Simultaneous recoveries for semilinear
parabolic systems
Inverse Problems, 38 (2022), no. 11, Paper No.
115006, 39 pp. arXiv
15. Ping Zhang, Pinchao Meng,
Weishi Yin and Hongyu Liu
A neural network method for time-dependent inverse
source problem with limited-aperture data
Journal of Computational and Applied
Mathematics, 421 (2023), Paper No. 114842. arXiv
16. Bochao Chen, Yixian Gao
and Hongyu Liu
Modal approximation for time-domain
elastic scattering from metamaterial quasiparticles
Journal de Mathematiques Pures et Appliquees, 165
(2022), 148-189. arXiv
17. Zhengjiang Bai, Huaian
Diao, Qingle Meng and Hongyu Liu
Stable determination of an elastic
medium scatterer by a single far-field measurement and beyond
18. Yan Jiang, Hongyu Liu,
Jiachuan Zhang and Kai Zhang
Boundary localization of transmission
eigenfunctions in spherically stratified media
Asymptotic Analysis, 132
(2023), no.1-2, 285-303. arXiv
19. Xinlin Cao, Huaian Diao, Hongyu Liu and Jun Zou
Two single-measurement uniqueness results for inverse
scattering problems within polyhedral geometries
Inverse Problems and Imaging, 16 (2022), no. 6, 1501-1528. arXiv
20. Youjun Deng, Xiaoping Fang and Hongyu Liu
Gradient
estimates for electric fields with multi-scale inclusions in the quasi-static
regime
SIAM Multiscale Modeling and Simulation, 20
(2022), no. 2, 641-656. arXiv
21. Yunwen Yin, Weishi Yin, Pinchao
Meng and Hongyu Liu
The interior inverse scattering
problem for a two-layered cavity using the Bayesian method
Inverse Problems and Imaging, 16 (2022), no. 4,
673-690.
22. Jingzhi Li, Hongyu Liu,
Lan Tang and Jiangwen Wang
Boundary homogenization of a class of
obstacle problems
Annals of Applied Mathematics, 38 (2022),
240-260.
23. Zhengjian Bai, Huaian
Diao, Hongyu Liu and Qingle Meng
Effective medium theory for embedded obstacles
in elasticity with applications to inverse problems
SIAM Journal on Applied Mathematics, 82 (2022), no. 2, 720-749. arXiv
24. Hongyu Liu
On local and global structures of transmission
eigenfunctions and beyond
Journal of Inverse and Ill-posed Problems, 30
(2022), no. 2, 287-305. arXiv
25. Habib Ammari, Yat Tin Chow
and Hongyu Liu
Localized sensitivity analysis at high-curvature boundary
points of reconstructing inclusions in transmission problems
SIAM Journal on Mathematical Analysis, 54
(2022), no. 2, 1543-1592. arXiv
26. Youjun Deng, Yan Jiang,
Hongyu Liu and Kai Zhang
On new surface-localized transmission eigenmodes
Inverse Problems and Imaging, 16 (2022), no. 3,
595-611. arXiv
27. Minghui Ding, Hongyu Liu and Guanghui Zheng
Shape reconstructions by using plasmon resonances
ESAIM: Math. Model. Numer. Anal., 56 (2022), no. 2,
705-726. arXiv
28. Hongyu Liu and Chun-Hsiang
Tsou
Stable determination by a single measurement, scattering
bound and regularity of transmission eigenfunctions
Calculus of Variations and Partial Differential
Equations, 61 (2022), no. 3, Paper No. 91. arXiv
29. Youjun Deng, Hongyu Liu and
Guanghui Zheng
Plasmon resonances of nanorods in
transverse electromagnetic scattering
Journal of Differential Equations, 318 (2022),
502-536. arXiv
30. Hongjie Li, Hongyu Liu and
Jun Zou
Minnaert resonances for
bubbles in soft elastic materials
31. Youjun Deng, Hongyu Liu,
Xianchao Wang and Wei Wu
On geometrical properties of electromagnetic transmission
eigenfunctions and artificial mirage
32. Youjun Deng, Chaohua Duan
and Hongyu Liu
On vanishing near corners of conductive transmission eigenfunctions
33. Yunwen Yin, Weishi Yin,
Pinchao Meng and Hongyu Liu
On a hybrid approach
for recovering multiple obstacles
Communications in Computational Physics, 31
(2022), 869-892.
34. Geng Sun, Siqing Gan,
Zaijiu Shang and Hongyu Liu
Symmetric-adjoint and symplectic-adjoint methods and their
applications
35. Shuiping Yang, Yubin Liu, Hongyu Liu and
Chao Wang
Numerical methods for semilinear fractional diffusion
equations with time delay
36. Huaian Diao, Hongyu Liu and Li Wang
Further results on generalized Holmgrens
principle to the Lamé operator and applications
37. Emilia Blåsten, Hongyu Liu
and Jingni Xiao
On
an electromagnetic problem in a corner and its applications
Analysis & PDE, 14 (2021), no. 7, 2207-2224.
arXiv
38. Yu Gao, Hongyu Liu,
Xianchao Wang and Kai Zhang
On an artificial neural network for inverse scattering
problems
Journal of Computational Physics, 448 (2021),
110771.
39. Youjun Deng, Hongyu Liu,
Xianchao Wang, Dong Wei and Liyan Zhu
Simultaneous recovery of surface heat flux and thickness of a
solid structure by ultrasonic measurements
Electronic Research Archive, 29 (2021), no. 5, 3081-3096. arXiv
40. Huaian Diao, Hongyu Liu,
Xianchao Wang and Ke Yang
On vanishing and localizing
around corners of electromagnetic transmission resonances
SN Partial Differential Equations and
Applications, 2, 78 (2021).
41. Huaian Diao, Hongyu Liu and
Baiyi Sun
On a local
geometric property of the generalized elastic transmission eigenfunctions and
application
Inverse Problems, 37 (2021), 105015. arXiv
42. Junjiang Lai and Hongyu Liu
On
a novel numerical scheme for the Riesz fractional partial differential equations
Mathematics, 9 (2021), 2014.
43. Youjun Deng, Hongyu Liu and
Guanghui Zheng
Mathematical
analysis of plasmon resonances for curved nanorods
Journal de Mathematiques Pures et Appliquees,
153 (2021), 248-280.
44. Emilia Blåsten and Hongyu
Liu
On
corners scattering stably and stable shape determination by a single far-field
pattern
Indiana University Mathematics Journal, 70
(2021), no. 7, 907-947. arXiv
45. Yat Tin Chow, Youjun Deng,
Youzi He, Hongyu Liu and Xianchao Wang
Surface-localized transmission eigenstates,
super-resolution imaging and pseudo surface plasmon modes
SIAM Journal on Imaging Science, 14 (2021), no.
3, 946-975. arXiv
46. Emilia Blåsten and Hongyu
Liu
Scattering by curvatures, radiationless
sources, transmission eigenfunctions and inverse scattering problems
47. Hongyu Liu, Chun-Hsiang
Tsou and Wei Yang
On
Calderón's inverse inclusion problem with smooth shapes by a single partial
boundary measurement
Inverse Problems, 37 (2021), 055005. arXiv
48. Huaian Diao, Hongyu Liu,
Long Zhang and Jun Zou
Unique continuation from a generalized impedance
edge-corner for Maxwells system and applications to inverse problems
Inverse Problems, 37 (2021), no. 3, 035004. arXiv
49. Xinlin Cao, Huaian Diao,
Hongyu Liu and Jun Zou
On novel geometric structures of
Laplacian eigenfunctions and applications in R^3 and applications to inverse problems
SIAM Journal on Mathematical Analysis, 53
(2021), no. 2, 1263-1294.
50. Huaian Diao, Xinlin
Cao and Hongyu Liu
On the geometric structures of transmission
eigenfunctions with a conductive boundary condition and applications
Communications in Partial Differential
Equations, 46 (2021), no. 4, 630-679. arXiv
51. Jingzhi Li, Hongyu Liu and
Shiqi Ma
Determining a random Schrӧdinger operator: both
potential and source are random
Communications in Mathematical Physics, 381
(2021), no. 2, 527-556. arXiv
52. Xiaoping Fang, Youjun Deng
and Hongyu Liu
Sharp estimate of electric field from a conductive rod
and application
Studies in Applied Mathematics, 146 (2021), no.
1, 279-297. arXiv
53. Hongyu Liu, Wing Yan Tsui,
Abdul Wahad and Xianchao Wang
Three-dimensional elastic scattering
coefficients and enhancement of the elastic near cloaking
54. Hao Wang, Wei Yang, Bin He
and Hongyu Liu
Design and finite element simulation of
information-open cloaking devices
Journal of Computational Physics, 426 (2021),
109944. arXiv
55. Xinlin Cao, Huaian Diao and Hongyu Liu
Determining a piecewise conductive
medium body by a single far-field measurement
56. Xinlin Cao, Huaian Diao,
Hongyu Liu and Jun Zou
On nodal and generalized
singular structures of Laplacian eigenfunctions and applications to inverse
scattering problems
Journal de Mathematiques Pures et Appliquees, 143
(2020), 116-161. arXiv
57. Huaian Diao, Hongyu Liu and
Li Wang
On generalized Holmgren's principle to the Lamé operator
with applications to inverse elastic problems
Calculus of Variations and Partial Differential
Equations, 59 (2020), no. 5, 179. arXiv
58. Emilia Blåsten and Hongyu
Liu
Recovering piecewise-constant refractive indices by a
single far-field pattern
Inverse Problems, 36 (2020), 085005. arXiv
59. Hongyu Liu and Chun-Hsiang
Tsou
Stable determination of polygonal inclusions in Calderón's
problem by a single partial boundary measurement
Inverse Problems, 36 (2020), 085010. arXiv
60. Youjun Deng, Hongyu Liu and
Wing-Yan Tsui
Identifying variations of magnetic anomalies using
geomagnetic monitoring
Discrete and Continuous Dynamical Systems,
series A, 40 (2020), no. 11, 6411-6440. arXiv
61. Youjun Deng, Hongjie Li and
Hongyu Liu
Spectral properties of Neumann-Poincaré operator and
anomalous localized resonance in elasticity beyond quasi-static limit
Journal of Elasticity, 140 (2020), 213-242.
arXiv
62. Weishi Yin, Wenhong Yang
and Hongyu Liu
A neural network scheme for recovering scattering
obstacles with limited phaseless far-field data
Journal of Computational Physics, 417 (2020),
109594.
63. Deyue Zhang, Fenglin Sun,
Yukun Guo and Hongyu Liu
Unique determinations in inverse scattering problems with
phaseless near-field measurements
Inverse Problems and Imaging, 14 (2020), no. 3,
569-582. arXiv
64. Emilia Blåsten, Hongjie Li,
Hongyu Liu and Yuliang Wang
Localization and geometrization in plasmon resonances and
geometric structures of Neumann-Poincaré eigenfunctions
ESAIM: M2AN, 54 (2020), no. 3, 957-976. arXiv
65. Youjun Deng, Hongjie Li and
Hongyu Liu
Analysis of surface polariton resonance for nanoparticles
in elastic system
SIAM Journal on Mathematical Analysis, 52
(2020), no. 2, 1786-1805. arXiv
66. Youjun Deng, Jinhong Li and
Hongyu Liu
On identifying magnetized anomalies using geomagnetic
monitoring within a magnetohydrodynamic model
Archive for Rational Mechanics and Analysis, 235
(2020), 691-721. arXiv
67. Xinlin Cao and Hongyu Liu
Determining a fractional Helmholtz
system with unknown source and medium parameter
68. Hongyu Liu, Xiaodong Liu,
Xianchao Wang and Yuliang Wang
On a novel inverse scattering scheme using resonant modes
with enhanced imaging resolution
Inverse Problems, 35 (2019), 125012. arXiv
69. Youjun Deng, Hongjie Li and
Hongyu Liu
On spectral properties of Neumann-Poincaré operator and
plasmonic cloaking in 3D elastostatics
Journal of Spectral Theory, 9 (2019), no. 3,
767-789. arXiv
70. Jinhong Li, Hongyu Liu,
Wing Yan Tsui and Xianchao Wang
An inverse scattering approach for geometric body
generation: a machine learning perspective
Mathematics in Engineering, 1 (2019), no. 4,
800-823. arXiv
71. Junjiang Lai, Hongyu Liu,
Jingni Xiao and Yifeng Xu
The decoupling of elastic waves from a weak formulation
perspective
East Asian Journal on Applied Mathematics, 9
(2019), no. 2, 241-251. arXiv
72. Jingzhi Li, Hongyu Liu and
Shiqi Ma
Determining a random Schrӧdinger equation with
unknown source and potential
SIAM Journal on Mathematical Analysis, 51
(2019), no. 4, 3465-3491. arXiv
73. Hongyu Liu, Luca Rondi and
Jingni Xiao
Mosco convergence for H(curl)
spaces, higher integrability for Maxwell's equations, and stability in direct
and inverse EM scattering problems
74. Hongjie Li, Shanqiang Li,
Hongyu Liu and Xianchao Wang
Analysis of electromagnetic scattering from plasmonic
inclusions beyond the quasi-static approximation
ESAIM: M2AN, 53 (2019), no. 4, 1351-1371
arXiv
75. Youjun Deng, Hongyu Liu and
Gunther Uhlmann
On an inverse boundary problem arising in brain imaging
Journal of Differential Equations, 267 (2019),
no. 4, 2471-2502. arXiv
76. Youjun Deng, Hongyu Liu and
Xiaodong Liu
Recovery of an embedded obstacle and the surrounding
medium for Maxwell's system
Journal of Differential Equations, 267 (2019), no. 4, 2192-2209.
arXiv
77. Xianchao Wang, Minghui Song, Yukun Guo, Hongjie Li and Hongyu Liu
Fourier method for identifying
electromagnetic sources with multi-frequency far-field data
Journal of Computational and Applied Mathematics,
358 (2019), 279-292. arXiv
78. Xianchao Wang, Yukun Guo, Jingzhi Li and Hongyu Liu
Two gesture-computing approaches by using
electromagnetic waves
79. Deyue Zhang, Yukun Guo,
Jingzhi Li and Hongyu Liu
Locating multiple multipolar acoustic sources using the
direct sampling method
Communicatioins in Computatioinal Physics, 25
(2019), no. 5, 1328-1356. arXiv
80. Xinlin Cao, Yi-Hsuan Lin
and Hongyu Liu
Simultaneously recovering potentials and embedded
obstacles for anisotropic fractional Schrӧdinger operators
Inverse Problems and Imaging, 13 (2019),
197-210. arXiv
81. Youjun Deng, Jinhong Li and
Hongyu Liu
On identifying magnetized anomalies using geomagnetic
monitoring
Archive for Rational Mechanics and Analysis, 231
(2019), no. 1, 153-187. arXiv
82. Hongjie Li and Hongyu Liu
On anomalous localized resonance
and plasmonic cloaking beyond the quasistatic limit
83. Hongjie Li, Jinhong Li and
Hongyu Liu
On novel elastic structures
inducing polariton resonances with finite frequencies and cloaking due to
anomalous localized resonance
84. Deyue Zhang, Yukun Guo,
Jingzhi Li and Hongyu Liu
Retrieval of acoustic sources from multi-frequency
phaseless data
Inverse Problems, 34 (2018), 094001. arXiv
85. Harrach Bastian, Yi-Hsuan
Lin and Hongyu Liu
On localizing and concentrating electromagnetic fields
SIAM J. Appl. Math., 78 (2018), no. 5, 2558-2574. arXiv
86. Jingzhi Li, Hongyu Liu and
Hongpeng Sun
On a gesture-computing technique using electromagnetic
waves
Inverse Problems and Imaging, 12 (2018), no. 3,
677-696. arXiv
87. Xia Ji and Hongyu Liu
On isotropic cloaking and interior transmission eigenvalue problems
European Journal of Applied Mathematics, 29 (2018), no.
2 253-280. arXiv
88. Jingzhi Li, Hongyu Liu and
Hongpeng Sun
On an inverse elastic wave imaging scheme for nearly
incompressible materials
IMA Journal on Applied Mathematics, 00 (2018),
1-29. arXiv
89. Hongyu Liu and Jingni Xiao
On electromagnetic scattering from a penetrable corner
SIAM J. Math. Anal., 49 (2017), no. 6,
5207-5241. arXiv
90. Jingzhi Li, Xiaofei Li,
Hongyu Liu and Yuliang Wang
Electromagnetic interior transmission eigenvalue problem
for inhomogeneous media containing obstacles and its applications to near
cloaking
IMA Journal of Applied Mathematics, 82 (2017),
1013-1042. arXiv
91. Eemeli Blåsten and Hongyu
Liu
On vanishing near corners of transmission eigenfunctions
Journal of Functional Analysis, 273 (2017),
3616-3632. arXiv
Addendum: arXiv
92. Yukun Guo, Jingzhi Li,
Hongyu Liu and Xianchao Wang
Mathematical design of a novel input/instruction device
using a moving emitter
Inverse Problems, 33 (2017), 105009. arXiv
93. Eemeli Blåsten, Xiaofei Li,
Hongyu Liu and Yuliang Wang
On vanishing and localizing of transmission eigenfunctions
near singular points: a numerical study
Inverse Problems, 33 (2017), 105001. arXiv
94. Youjun Deng, Hongyu Liu and
Gunther Uhlmann
On regularized full- and partial-cloaks in acoustic
scattering
Comm. Partial Differential Equations, 42 (2017),
issue 6, 821-851. arXiv
95. Hongyu Liu and Jingni Xiao
Decoupling elastic waves and its applications
J. Differential Equations, 263 (2017), no. 8,
4442-4480. arXiv
96. Yujing Shi, Yueru Li,
Shanqiang Li and Hongyu Liu
State feedback design for nonlinear quadratic systems with
randomly occurring actuator saturation
International Journal of Control, Automation and
Systems, 15 (2017), issue 3, pp. 1117-1124.
97. Hongjie Li and Hongyu Liu
On three-dimensional plasmon resonance
in elastostatics
98. Xiaodong Liu and Hongyu Liu
Recovery of an embedded obstacle and its surrounding
medium by formally-determined scattering data
Inverse Problems, 33 (2017), 065001. arXiv
99. Hongyu Liu, Yuliang Wang
and Shuhui Zhong
Nearly non-scattering electromagnetic wave set and its
application
100.
Jingzhi Li, Hongyu Liu and Yuliang Wang
Recovering an electromagnetic obstacle by a few phaseless
backscattering measurements
101.
Xianchao Wang, Yukun Guo, Deyue Zhang and
Hongyu Liu
Fourier method for recovering acoustic sources from
multi-frequency far-field data
Inverse Problems, 33 (2017), 035001.
102.
Hongyu Liu, Michele Petrini, Luca Rondi and
Jingni Xiao
Stable determination of sound-hard polyhedral scatterers
by a minimal number of scattering measurements
103.
Hongjie Li and Hongyu Liu
On
anomalous localized resonance for the elastostatic system
SIAM J. Math. Anal., 48 (5), 3322-3344, 2016. arXiv
104.
Youjun Deng, Hongyu Liu and Gunther Uhlmann
Full and partial cloaking in electromagnetic scattering
105.
Hongyu Liu, Yuliang Wang and Can Yang
Mathematical design
of a novel gesture-based instruction/input device using wave detection
SIAM J. Imaging Sci., 9 (2016), no. 2, 822-841. arXiv
107.
Yukun Guo, Dietmar Hӧmberg, Guanghui Hu, Jingzhi Li and Hongyu Liu108.
Kazunori Ando, Hyeonbae Kang and Hongyu Liu
Plasmon resonance with finite frequencies: a validation of
the quasi-static approximation for diametrically small inclusions
SIAM J. Appl. Math., 76 (2016), no. 2, 731-749.
109.
Hongyu Liu and Gunther Uhlmann
Determining both
sound speed and internal source in thermo- and photo-acoustic tomography
Inverse Problems, 31 (2015) 105005. arXiv
110.
Jingzhi Li, Peijun Li, Hongyu Liu and Xiaodong Liu
Recovering
multiscale buried anomalies in a two-layered medium
Inverse Problems, 31 (2015), 105006.
111.
Hongjie Li, Jingzhi Li and Hongyu Liu
On quasi-static cloaking due to anomalous localized
resonance in R^3
SIAM J. Appl. Math., 75 (2015), no. 3, 1245-1260. arXiv
112.
Jingzhi Li
and Hongyu Liu
Recovering a
polyhedral obstacle by a few backscattering measurements
J. Differential Equations, 259 (2015), no. 5, 2101-2120. arXiv
113.
Guanghui Hu and Hongyu Liu
Nearly cloaking
the elastic wave fields
J. Math. Pures
Appl. (9), 104 (2015), no. 6, 1045-1074. arXiv
114.
Guanghui Hu, Jingzhi Li and Hongyu Liu
Uniqueness
in determining refractive indices by formally determined far-field data
Applicable
Analysis, 94 (2015), 1259-1269. arXiv
115.
Jingzhi Li,
Hongyu Liu, Luca Rondi and Gunther Uhlmann
Regularized transformation-optics
cloaking for the Helmholtz equation: from partial cloak to full cloak
Comm. Math. Phys., 335 (2015), 671-712. arXiv
116.
Jingzhi Li, Hongyu
Liu and Qi Wang
Fast imaging of electromagnetic
scatterers by a two-stage multilevel sampling method
Discrete
and Continuous Dynamical Systems-S, 8(2015), 547-561.
117.
Hongyu Liu, Hongkai
Zhao and Changjian Zou
Determining scattering support of
anisotropic acoustic mediums and obstacles
Comm. Math. Sci., 13 (2015), no. 4, 987-1000.
(Special issue in honor of the 70th birthday Prof. George Papanicolaou) PDF
118.
Jingzhi Li, Hongyu
Liu and Hongpeng Sun
Damping mechanisms for regularized
transformation-acoustic cloaking
Contemporary Mathematics, AMS, 615 (2014), 233-253. (Special issue in honor of the 60th birthday of Prof.
Gunther Uhlmann) PDF
119.
Guagnhui Hu,
Jingzhi Li, Hongyu Liu and Hongpeng Sun
Inverse elastic scattering for
multiscale rigid bodies with a single far-field pattern
SIAM
J. Imaging Sci., 7 (2014), 1799-1825. arXiv
120.
Guanghui Hu,
Jingzhi Li and Hongyu Liu
Recovering complex elastic scatterers by a single
far-field pattern
J.
Differential Equations, 257 (2014), 469-489.
121.
Gang Bao, Hongyu Liu and Jun Zou
Nearly cloaking the full Maxwell
equations: cloaking active contents with general conducting layers
J. Math. Pures Appl. (9), 101 (2014), 716-733. arXiv
122.
Jingzhi Li, Hongyu Liu, Yuanchang Sun and Qi Wang123.
Jingzhi Li, Hongyu Liu and Jun Zou
Locating multiple multiscale
acoustic scatterers
SIAM Multiscale Model. Simul., 12 (2014), no. 3, 927-952.
124.
Gang Bao and Hongyu Liu
Nearly cloaking the
electromagnetic fields
SIAM J. Appl. Math., 74 (2014), 724-742. arXiv
125.
Jingzhi Li, Hongyu Liu and Qi Wang
Enhanced
multilevel linear sampling methods for inverse scattering problems
J. Comput. Phys., 257 (2014), 554-571.
126.
Jingzhi Li, Hongyu Liu and Qi Wang
Locating multiple multi-scale
electromagnetic scatterers by a single far-field measurement
SIAM J. Imaging Sci.,6 (2013),
2285-2309. arXiv
127.
Ilker Kocyigit, Hongyu Liu and Hongpeng Sun
Regular scattering patterns for
near-cloaking devices and their implications for invisibility cloaking
Inverse Problems, 29 (2013), 045005.
128.
Jingzhi Li, Hongyu Liu, Zaijiu Shang, and Hongpeng
Sun
Two single-shot methods for locating multiple
electromagnetic scatterers
SIAM J. Appl. Math., 73 (2013), 1721--1746. arXiv
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Jingzhi Li and Hongyu Liu
Optimal shape
for a nozzle design problem using an arbitrary Lagrangian-Eulerian finite
element method
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Jingzhi Li, Shanqiang Li and Hongyu Liu
Restarted
nonlinear conjugate gradient method for parameter identification in elliptic
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Eurasian Journal of Mathematical and Computer
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131.
Hongyu Liu
Schiffers
conjecture, interior transmission eigenvalues and invisibility cloaking:
singular problem vs. nonsingular problem
Contemporary Mathematics, AMS, 598 (2013) (Special issue in honor of the 85th birthday of Prof.
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