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## Bao, Gang

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 Author ID: bao.gang Published as: Bao, G.; Bao, Gang Homepage: http://www.math.zju.edu.cn/bao/ External Links: MGP · dblp
 Documents Indexed: 153 Publications since 1987, including 2 Books
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#### Co-Authors

 17 single-authored 21 Li, Peijun 17 Ammari, Habib M. 8 Hu, Guanghui 8 Lin, Junshan 8 Zhou, Zhengfang 7 Dobson, David C. 7 Liu, Di 7 Triki, Faouzi 6 Symes, William W. 6 Yin, Tao 5 Zhou, Hao-Min 4 Wood, Aihua W. 4 Wu, Haijun 4 Xu, Xiang 4 Zhang, Hai 3 Huang, Kai 3 Lai, Jun 3 Luo, Songting 3 Minut, Aurelia 3 Van, Tri 3 Ye, Xiaojing 3 Yun, Kihyun 3 Zang, Yaohua 3 Zou, Jun 2 Cao, Yanzhao 2 Chow, Shui-Nee 2 Ehlers, Todd A. 2 Gao, Jinglu 2 Hamdache, Kamel 2 Hou, Songming 2 Li, Ying 2 Liu, Hongyu 2 Qian, Jianliang 2 Ramdani, Karim 2 Wang, Yuliang 2 Xu, Liwei 2 Yang, Hongtao 2 Zhang, Lei 1 Bonnetier, Eric 1 Chen, Yu 1 Chen, Yunmei 1 Cowsar, Lawrence C. 1 Dou, Yijie 1 Fang, Xiaohong 1 Fleming, John L. 1 Friedman, Avner 1 Hao, Yongle 1 Kian, Yavar 1 Li, Jiaqing 1 Li, Pingqian 1 Lin, Yiwen 1 Liu, Jun 1 Liu, Jun 1 Lu, Shuai 1 Ma, Fuming 1 Masters, Wen Chen 1 Mefire, Séraphin M. 1 Rundell, William 1 Schmidt, Gunther 1 Sun, Jiguang 1 Sun, Weiwei 1 Sun, Yuanchang 1 Tan, Weihong 1 Wang, Zhoufeng 1 Wei, Guowei 1 Wei, Hsiu-Chuan 1 Wu, Wei 1 Xu, Boxi 1 Xu, Zhichao 1 Ying, Lexing 1 Zeng, Fang 1 Zha, Hongyuan 1 Zhang, Kai 1 Zhang, Weiwei 1 Zhao, Hongkai 1 Zhao, Shan 1 Zhao, Yue 1 Zhou, Aihui
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#### Serials

 16 Inverse Problems 10 Journal of Computational Physics 8 SIAM Journal on Applied Mathematics 6 SIAM Journal on Numerical Analysis 4 Mathematical Methods in the Applied Sciences 4 SIAM Journal on Mathematical Analysis 4 SIAM Journal on Scientific Computing 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 3 Transactions of the American Mathematical Society 3 Journal of Computational Mathematics 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 3 Communications in Computational Physics 3 SIAM Journal on Imaging Sciences 2 Archive for Rational Mechanics and Analysis 2 Mathematics of Computation 2 SIAM Journal on Control and Optimization 2 Applied Mathematics Letters 2 Journal of Scientific Computing 2 Advances in Computational Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Physics 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Acta Scientiarum Naturalium Universitatis Jilinensis 1 Journal of the American Mathematical Society 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Surveys on Mathematics for Industry 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Electronic Journal of Differential Equations (EJDE) 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 IEEE Transactions on Antennas and Propagation 1 Nonlinear Analysis. Real World Applications 1 Communications in Mathematical Sciences 1 Frontiers in Applied Mathematics 1 Inverse Problems and Imaging 1 Discrete and Continuous Dynamical Systems. Series S 1 Numerical Mathematics: Theory, Methods and Applications 1 Science China. Mathematics
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#### Fields

 102 Optics, electromagnetic theory (78-XX) 99 Partial differential equations (35-XX) 55 Numerical analysis (65-XX) 8 Mechanics of deformable solids (74-XX) 6 Operator theory (47-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 3 Probability theory and stochastic processes (60-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

113 Publications have been cited 1,310 times in 648 Documents Cited by Year
A fast algorithm for the electromagnetic scattering from a large cavity. Zbl 1089.78024
Bao, Gang; Sun, Weiwei
2005
A multi-frequency inverse source problem. Zbl 1205.35336
Bao, Gang; Lin, Junshan; Triki, Faouzi
2010
An inverse source problem for Maxwell’s equations in magnetoencephalography. Zbl 1003.35123
Ammari, Habib; Bao, Gang; Fleming, John L.
2002
Inverse scattering problems with multi-frequencies. Zbl 1332.78019
Bao, Gang; Li, Peijun; Lin, Junshan; Triki, Faouzi
2015
Finite element approximation of time harmonic waves in periodic structures. Zbl 0853.65134
Bao, Gang
1995
An integral equation method for the electromagnetic scattering from cavities. Zbl 0991.78012
Ammari, Habib; Bao, Gang; Wood, Aihua W.
2000
An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures. Zbl 1197.78031
Bao, Gang; Li, Peijun; Wu, Haijun
2010
Analysis of the electromagnetic scattering from a cavity. Zbl 1033.78005
Ammari, Habib; Bao, Gang; Wood, Aihua W.
2002
A recursive algorithm for multifrequency acoustic inverse source problems. Zbl 1321.65166
Bao, Gang; Lu, Shuai; Rundell, William; Xu, Boxi
2015
Inverse medium scattering for the Helmholtz equation at fixed frequency. Zbl 1086.35120
Bao, Gang; Li, Peijun
2005
Numerical solution of the Helmholtz equation with high wavenumbers. Zbl 1043.65132
Bao, Gang; Wei, G. W.; Zhao, Shan
2004
Convergence analysis of the perfectly matched layer problems for time-harmonic Maxwell’s equations. Zbl 1145.78303
Bao, Gang; Wu, Haijun
2005
Mathematical modeling in optical science. Proceedings of a minisymposium on optics at SIAM’s annual meeting, Stanford Univ., Palo Alto, CA, USA, 1997. Zbl 0964.00050
Bao, Gang (ed.); Cowsar, Lawrence (ed.); Masters, Wen (ed.)
2001
Shape reconstruction of the multi-scale rough surface from multi-frequency phaseless data. Zbl 1351.65083
Bao, Gang; Zhang, Lei
2016
Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers. Zbl 1298.35213
Bao, Gang; Liu, Hongyu; Zou, Jun
2014
Imaging of local surface displacement on an infinite ground plane: the multiple frequency case. Zbl 1233.35202
Bao, Gang; Lin, Junshan
2011
Error estimates for the recursive linearization of inverse medium problems. Zbl 1240.35574
Bao, Gang; Triki, Faouzi
2010
Inverse medium scattering problems for electromagnetic waves. Zbl 1114.78006
Bao, Gang; Li, Peijun
2005
Maxwell’s equations in periodic chiral structures. Zbl 1066.78010
Ammari, Habib; Bao, Gang
2003
An inverse random source problem for the Helmholtz equation. Zbl 1278.65005
Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin
2014
Inverse scattering by a continuation method with initial guesses from a direct imaging algorithm. Zbl 1126.78010
Bao, Gang; Hou, Songming; Li, Peijun
2007
Variational approximation of Maxwell’s equations in biperiodic structures. Zbl 0872.65108
Bao, Gang
1997
Near-field imaging of infinite rough surfaces. Zbl 1302.78014
Bao, Gang; Li, Peijun
2013
An $$h$$-adaptive finite element solver for the calculations of the electronic structures. Zbl 1245.65125
Bao, Gang; Hu, Guanghui; Liu, Di
2012
Inverse random source scattering problems in several dimensions. Zbl 1355.78025
Bao, Gang; Chen, Chuchu; Li, Peijun
2016
Numerical solution of inverse scattering problems with multi-experimental limited aperture data. Zbl 1048.65058
Bao, Gang; Liu, Jun
2003
On the scattering by a biperiodic structure. Zbl 1025.78007
Bao, Gang; Dobson, David C.
2000
A uniqueness theorem for an inverse problem in periodic diffractive optics. Zbl 0805.35144
Bao, Gang
1994
Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data. Zbl 1229.35319
Bao, Gang; Lin, Junshan; Triki, Faouzi
2011
Direct and inverse elastic scattering from anisotropic media. Zbl 1397.35094
Bao, Gang; Hu, Guanghui; Sun, Jiguang; Yin, Tao
2018
Sensitivity analysis of an inverse problem for the wave equation with caustics. Zbl 1325.35274
Bao, Gang; Zhang, Hai
2014
Near-field imaging of infinite rough surfaces in dielectric media. Zbl 1297.78008
Bao, Gang; Li, Peijun
2014
A cavity problem for Maxwell’s equations. Zbl 1170.78335
Ammari, Habib; Bao, Gang; Wood, Aihua W.
2002
An inverse problem for scattering by a doubly periodic structure. Zbl 0898.35111
Bao, Gang; Zhou, Zhengfang
1998
Inverse problems for scattering by periodic structures. Zbl 0845.35131
Bao, Gang; Friedman, Avner
1995
Nearly cloaking the electromagnetic fields. Zbl 1314.35181
Bao, Gang; Liu, Hongyu
2014
An inverse random source problem in quantifying the elastic modulus of nanomaterials. Zbl 1269.82077
Bao, Gang; Xu, Xiang
2013
Numerical solution of an inverse medium scattering problem with a stochastic source. Zbl 1197.35312
Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin
2010
Inverse random source scattering for elastic waves. Zbl 1434.74071
Bao, Gang; Chen, Chuchu; Li, Peijun
2017
Near-field imaging of the surface displacement on an infinite ground plane. Zbl 1268.78016
Bao, Gang; Lin, Junshan
2013
Unique determination of periodic polyhedral structures by scattered electromagnetic fields. Zbl 1222.35207
Bao, Gang; Zhang, Hai; Zou, Jun
2011
Numerical analysis of diffraction by periodic structures: $$TM$$ polarization. Zbl 0866.65075
Bao, Gang
1996
An adaptive finite element method for the diffraction grating problem with transparent boundary condition. Zbl 1328.65249
Wang, Zhoufeng; Bao, Gang; Li, Jiaqing; Li, Peijun; Wu, Haijun
2015
Numerical solution of the Kohn-Sham equation by finite element methods with an adaptive mesh redistribution technique. Zbl 1272.82003
Bao, Gang; Hu, Guanghui; Liu, Di
2013
Stability of the scattering from a large electromagnetic cavity in two dimensions. Zbl 1275.78007
Bao, Gang; Yun, Kihyun; Zhou, Zhengfang
2012
Stability for the inverse source problems in elastic and electromagnetic waves. Zbl 1433.35376
Bao, Gang; Li, Peijun; Zhao, Yue
2020
Time-domain analysis of an acoustic-elastic interaction problem. Zbl 1394.35344
Bao, Gang; Gao, Yixian; Li, Peijun
2018
Analysis of direct and inverse cavity scattering problems. Zbl 1265.78008
Bao, Gang; Gao, Jinglu; Li, Peijun
2011
Regularity and stability for the scattering map of a linearized inverse medium problem. Zbl 0960.35108
Bao, Gang; Chen, Yu; Ma, Fuming
2000
Second harmonic generation in nonlinear optical films. Zbl 0799.34035
Bao, Gang; Dobson, David C.
1994
Inverse source problems in elastodynamics. Zbl 1404.65137
Bao, Gang; Hu, Guanghui; Kian, Yavar; Yin, Tao
2018
Numerical solution of an inverse medium scattering problem for Maxwell’s equations at fixed frequency. Zbl 1165.78004
Bao, Gang; Li, Peijun
2009
Coupling of finite element and boundary element methods for the scattering by periodic chiral structures. Zbl 1174.78002
Ammari, Habib; Bao, Gang
2008
A nonlinear grating problem in diffractive optics. Zbl 0870.35032
Bao, Gang; Chen, Yunmei
1997
Computation of pseudo-differential operators. Zbl 0848.35146
Bao, Gang; Symes, William W.
1996
Time-harmonic acoustic scattering from locally perturbed half-planes. Zbl 06958369
Bao, Gang; Hu, Guanghui; Yin, Tao
2018
Convergence analysis in near-field imaging. Zbl 1298.78018
Bao, Gang; Li, Peijun
2014
Numerical reconstruction of electromagnetic inclusions in three dimensions. Zbl 1298.65163
Bao, Gang; Lin, Junshan; Mefire, Séraphin M.
2014
Numerical solution of diffraction problems by a least-squares finite element method. Zbl 0958.78010
Bao, Gang; Cao, Yanzhao; Yang, Hongtao
2000
A least-squares finite element analysis for diffraction problems. Zbl 1025.78008
Bao, Gang; Yang, Hongtao
2000
Mode matching for the electromagnetic scattering from three-dimensional large cavities. Zbl 1369.78139
Bao, Gang; Gao, Jinglu; Lin, Junshan; Zhang, Weiwei
2012
An inverse source problem with multiple frequency data. Zbl 1231.35296
Bao, Gang; Lin, Junshan; Triki, Faouzi
2011
On the stability of an inverse problem for the wave equation. Zbl 1165.35476
Bao, Gang; Yun, Kihyun
2009
Inverse medium scattering for three-dimensional time harmonic Maxwell equations. Zbl 1119.35039
Bao, Gang; Li, Peijun
2004
Optimal design of periodic diffractive structures. Zbl 0978.49004
Bao, G.; Bonnetier, E.
2001
An accurate boundary element method for the exterior elastic scattering problem in two dimensions. Zbl 1380.74059
Bao, Gang; Xu, Liwei; Yin, Tao
2017
Modeling and optimal design of diffractive optical structures. Zbl 0932.65116
Bao, Gang; Dobson, David C.
1998
Diffractive optics in nonlinear media with periodic structure. Zbl 0857.35119
Bao, Gang; Dobson, David C.
1995
A direct imaging method for inverse scattering using the generalized Foldy-Lax formulation. Zbl 1335.78002
Bao, Gang; Huang, Kai; Li, Peijun; Zhao, Hongkai
2014
Optimal shape design of a cavity for radar cross section reduction. Zbl 1326.35364
Bao, Gang; Lai, Jun
2014
Radiogenic source identification for the helium production-diffusion equation. Zbl 1388.65090
Bao, Gang; Ehlers, Todd A.; Li, Peijun
2013
On the sensitivity of solutions of hyperbolic equations to the coefficients. Zbl 0853.35063
Bao, Gang; Symes, William W.
1996
Nonlinear optics in periodic diffractive structures. Zbl 0815.35107
Bao, Gang; Dobson, David C.
1993
Weak adversarial networks for high-dimensional partial differential equations. Zbl 1436.65156
Zang, Yaohua; Bao, Gang; Ye, Xiaojing; Zhou, Haomin
2020
A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation. Zbl 1405.78012
Bao, Gang; Cao, Yanzhao; Hao, Yongle; Zhang, Kai
2018
Near-field imaging with far-field data. Zbl 1381.94009
Bao, Gang; Li, Peijun; Wang, Yuliang
2016
Stability for the electromagnetic scattering from large cavities. Zbl 1334.35331
Bao, Gang; Yun, KiHyun
2016
Radar cross section reduction of a cavity in the ground plane: TE polarization. Zbl 1302.35380
Bao, Gang; Lai, Jun
2015
A multiscale method for optical responses of nanostructures. Zbl 1273.82085
Bao, Gang; Liu, Di; Luo, Songting
2013
A convergent multiscale Gaussian-beam parametrix for the wave equation. Zbl 1302.35485
Bao, Gang; Qian, Jianliang; Ying, Lexing; Zhang, Hai
2013
Shape reconstruction of inverse medium scattering for the Helmholtz equation. Zbl 1317.78007
Bao, Gang; Li, P. J.
2012
Quantifying tectonic and geomorphic interpretations of thermochronometer data with inverse problem theory. Zbl 1284.86007
Bao, G.; Dou, Y.; Ehlers, T. A.; Li, P.; Wang, Y.; Xu, Z.
2011
$$L^p$$ estimates for Maxwell’s equations with source term. Zbl 1126.35071
Bao, Gang; Minut, Aurelia; Zhou, Zhengfang
2007
Analysis of finite dimensional approximations to a class of partial differential equations. Zbl 1064.65125
Bao, Gang; Zhou, Aihui
2004
Optimal design of nonlinear diffraction gratings. Zbl 1036.78008
Bao, Gang; Huang, Kai; Schmidt, Gunther
2003
Maxwell’s equations in a perturbed periodic structure. Zbl 0991.35091
Ammari, Habib; Bao, Gang
2002
Analysis of the scattering map of a linearized inverse medium problem for electromagnetic waves. Zbl 0985.78017
Ammari, Habib; Bao, Gang
2001
A trace theorem for solutions of linear partial differential equations. Zbl 0754.35023
Bao, Gang; Symes, William W.
1991
Towards translational invariance of total energy with finite element methods for Kohn-Sham equation. Zbl 1388.65141
Bao, Gang; Hu, Guanghui; Liu, Di
2016
Multiscale modeling and computation of optically manipulated nano devices. Zbl 1349.82176
Bao, Gang; Liu, Di; Luo, Songting
2016
Real-time adaptive finite element solution of time-dependent Kohn-Sham equation. Zbl 1354.65187
Bao, Gang; Hu, Guanghui; Liu, Di
2015
Fast multiscale Gaussian beam methods for wave equations in bounded convex domains. Zbl 1349.65543
Bao, Gang; Lai, Jun; Qian, Jianliang
2014
Unique determination of periodic polyhedral structures by scattered electromagnetic fields. II: The resonance case. Zbl 1301.35209
Bao, Gang; Zhang, Hai; Zou, Jun
2014
$$L^p$$ estimates of time-harmonic Maxwell’s equations in a bounded domain. Zbl 1151.78009
Bao, Gang; Li, Ying; Zhou, Zhengfang
2008
Recent studies on inverse medium scattering problems. Zbl 1137.78011
Bao, G.; Hou, S.; Li, P.
2008
Numerical solution of nonlinear diffraction problems. Zbl 1092.78012
Bao, Gang; Li, Ying; Wu, Haijun
2006
Mathematical modeling of near-field optics. Zbl 1086.35106
Ammari, Habib; Bao, Gang
2002
Trace regularity for second order hyperbolic equation with nonsmooth coefficients. Zbl 0797.35104
Bao, Gang; Symes, William W.
1993
Numerical solution of inverse problems by weak adversarial networks. Zbl 1452.65308
Bao, Gang; Ye, Xiaojing; Zang, Yaohua; Zhou, Haomin
2020
Stability for the multifrequency inverse medium problem. Zbl 1443.35180
Bao, Gang; Triki, Faouzi
2020
Stability for the inverse source problems in elastic and electromagnetic waves. Zbl 1433.35376
Bao, Gang; Li, Peijun; Zhao, Yue
2020
Weak adversarial networks for high-dimensional partial differential equations. Zbl 1436.65156
Zang, Yaohua; Bao, Gang; Ye, Xiaojing; Zhou, Haomin
2020
Numerical solution of inverse problems by weak adversarial networks. Zbl 1452.65308
Bao, Gang; Ye, Xiaojing; Zang, Yaohua; Zhou, Haomin
2020
Stability for the multifrequency inverse medium problem. Zbl 1443.35180
Bao, Gang; Triki, Faouzi
2020
Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions. Zbl 1441.74289
Bao, Gang; Xu, Liwei; Yin, Tao
2019
Direct and inverse elastic scattering from anisotropic media. Zbl 1397.35094
Bao, Gang; Hu, Guanghui; Sun, Jiguang; Yin, Tao
2018
Time-domain analysis of an acoustic-elastic interaction problem. Zbl 1394.35344
Bao, Gang; Gao, Yixian; Li, Peijun
2018
Inverse source problems in elastodynamics. Zbl 1404.65137
Bao, Gang; Hu, Guanghui; Kian, Yavar; Yin, Tao
2018
Time-harmonic acoustic scattering from locally perturbed half-planes. Zbl 06958369
Bao, Gang; Hu, Guanghui; Yin, Tao
2018
A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation. Zbl 1405.78012
Bao, Gang; Cao, Yanzhao; Hao, Yongle; Zhang, Kai
2018
Uniqueness results for scattering and inverse scattering by infinite rough surfaces with tapered wave incidence. Zbl 1401.35336
Bao, Gang; Zhang, Lei
2018
Inverse random source scattering for elastic waves. Zbl 1434.74071
Bao, Gang; Chen, Chuchu; Li, Peijun
2017
An accurate boundary element method for the exterior elastic scattering problem in two dimensions. Zbl 1380.74059
Bao, Gang; Xu, Liwei; Yin, Tao
2017
Stability for the Lens rigidity problem. Zbl 1421.53046
Bao, Gang; Zhang, Hai
2017
Shape reconstruction of the multi-scale rough surface from multi-frequency phaseless data. Zbl 1351.65083
Bao, Gang; Zhang, Lei
2016
Inverse random source scattering problems in several dimensions. Zbl 1355.78025
Bao, Gang; Chen, Chuchu; Li, Peijun
2016
Near-field imaging with far-field data. Zbl 1381.94009
Bao, Gang; Li, Peijun; Wang, Yuliang
2016
Stability for the electromagnetic scattering from large cavities. Zbl 1334.35331
Bao, Gang; Yun, KiHyun
2016
Towards translational invariance of total energy with finite element methods for Kohn-Sham equation. Zbl 1388.65141
Bao, Gang; Hu, Guanghui; Liu, Di
2016
Multiscale modeling and computation of optically manipulated nano devices. Zbl 1349.82176
Bao, Gang; Liu, Di; Luo, Songting
2016
Inverse scattering problems with multi-frequencies. Zbl 1332.78019
Bao, Gang; Li, Peijun; Lin, Junshan; Triki, Faouzi
2015
A recursive algorithm for multifrequency acoustic inverse source problems. Zbl 1321.65166
Bao, Gang; Lu, Shuai; Rundell, William; Xu, Boxi
2015
An adaptive finite element method for the diffraction grating problem with transparent boundary condition. Zbl 1328.65249
Wang, Zhoufeng; Bao, Gang; Li, Jiaqing; Li, Peijun; Wu, Haijun
2015
Radar cross section reduction of a cavity in the ground plane: TE polarization. Zbl 1302.35380
Bao, Gang; Lai, Jun
2015
Real-time adaptive finite element solution of time-dependent Kohn-Sham equation. Zbl 1354.65187
Bao, Gang; Hu, Guanghui; Liu, Di
2015
The Libera operator on Dirichlet spaces. Zbl 1373.30054
Bao, G.; Yang, J.
2015
Identification of the material properties in nonuniform nanostructures. Zbl 1330.35522
Bao, Gang; Xu, Xiang
2015
Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers. Zbl 1298.35213
Bao, Gang; Liu, Hongyu; Zou, Jun
2014
An inverse random source problem for the Helmholtz equation. Zbl 1278.65005
Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin
2014
Sensitivity analysis of an inverse problem for the wave equation with caustics. Zbl 1325.35274
Bao, Gang; Zhang, Hai
2014
Near-field imaging of infinite rough surfaces in dielectric media. Zbl 1297.78008
Bao, Gang; Li, Peijun
2014
Nearly cloaking the electromagnetic fields. Zbl 1314.35181
Bao, Gang; Liu, Hongyu
2014
Convergence analysis in near-field imaging. Zbl 1298.78018
Bao, Gang; Li, Peijun
2014
Numerical reconstruction of electromagnetic inclusions in three dimensions. Zbl 1298.65163
Bao, Gang; Lin, Junshan; Mefire, Séraphin M.
2014
A direct imaging method for inverse scattering using the generalized Foldy-Lax formulation. Zbl 1335.78002
Bao, Gang; Huang, Kai; Li, Peijun; Zhao, Hongkai
2014
Optimal shape design of a cavity for radar cross section reduction. Zbl 1326.35364
Bao, Gang; Lai, Jun
2014
Fast multiscale Gaussian beam methods for wave equations in bounded convex domains. Zbl 1349.65543
Bao, Gang; Lai, Jun; Qian, Jianliang
2014
Unique determination of periodic polyhedral structures by scattered electromagnetic fields. II: The resonance case. Zbl 1301.35209
Bao, Gang; Zhang, Hai; Zou, Jun
2014
Near-field imaging of infinite rough surfaces. Zbl 1302.78014
Bao, Gang; Li, Peijun
2013
An inverse random source problem in quantifying the elastic modulus of nanomaterials. Zbl 1269.82077
Bao, Gang; Xu, Xiang
2013
Near-field imaging of the surface displacement on an infinite ground plane. Zbl 1268.78016
Bao, Gang; Lin, Junshan
2013
Numerical solution of the Kohn-Sham equation by finite element methods with an adaptive mesh redistribution technique. Zbl 1272.82003
Bao, Gang; Hu, Guanghui; Liu, Di
2013
Radiogenic source identification for the helium production-diffusion equation. Zbl 1388.65090
Bao, Gang; Ehlers, Todd A.; Li, Peijun
2013
A multiscale method for optical responses of nanostructures. Zbl 1273.82085
Bao, Gang; Liu, Di; Luo, Songting
2013
A convergent multiscale Gaussian-beam parametrix for the wave equation. Zbl 1302.35485
Bao, Gang; Qian, Jianliang; Ying, Lexing; Zhang, Hai
2013
Multi-physical modeling and multi-scale computation of nano-optical responses. Zbl 1330.78005
Bao, Gang; Hu, Guanghui; Liu, Di; Luo, Songting
2013
An $$h$$-adaptive finite element solver for the calculations of the electronic structures. Zbl 1245.65125
Bao, Gang; Hu, Guanghui; Liu, Di
2012
Stability of the scattering from a large electromagnetic cavity in two dimensions. Zbl 1275.78007
Bao, Gang; Yun, Kihyun; Zhou, Zhengfang
2012
Mode matching for the electromagnetic scattering from three-dimensional large cavities. Zbl 1369.78139
Bao, Gang; Gao, Jinglu; Lin, Junshan; Zhang, Weiwei
2012
Shape reconstruction of inverse medium scattering for the Helmholtz equation. Zbl 1317.78007
Bao, Gang; Li, P. J.
2012
Imaging of local surface displacement on an infinite ground plane: the multiple frequency case. Zbl 1233.35202
Bao, Gang; Lin, Junshan
2011
Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data. Zbl 1229.35319
Bao, Gang; Lin, Junshan; Triki, Faouzi
2011
Unique determination of periodic polyhedral structures by scattered electromagnetic fields. Zbl 1222.35207
Bao, Gang; Zhang, Hai; Zou, Jun
2011
Analysis of direct and inverse cavity scattering problems. Zbl 1265.78008
Bao, Gang; Gao, Jinglu; Li, Peijun
2011
An inverse source problem with multiple frequency data. Zbl 1231.35296
Bao, Gang; Lin, Junshan; Triki, Faouzi
2011
Quantifying tectonic and geomorphic interpretations of thermochronometer data with inverse problem theory. Zbl 1284.86007
Bao, G.; Dou, Y.; Ehlers, T. A.; Li, P.; Wang, Y.; Xu, Z.
2011
Continuation finite element simulation of second harmonic generation in photonic crystals. Zbl 1364.78028
Bao, Gang; Xu, Zhengfu; Yuan, Jianhua
2011
A multi-frequency inverse source problem. Zbl 1205.35336
Bao, Gang; Lin, Junshan; Triki, Faouzi
2010
An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures. Zbl 1197.78031
Bao, Gang; Li, Peijun; Wu, Haijun
2010
Error estimates for the recursive linearization of inverse medium problems. Zbl 1240.35574
Bao, Gang; Triki, Faouzi
2010
Numerical solution of an inverse medium scattering problem with a stochastic source. Zbl 1197.35312
Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin
2010
Numerical solution of an inverse medium scattering problem for Maxwell’s equations at fixed frequency. Zbl 1165.78004
Bao, Gang; Li, Peijun
2009
On the stability of an inverse problem for the wave equation. Zbl 1165.35476
Bao, Gang; Yun, Kihyun
2009
Coupling of finite element and boundary element methods for the scattering by periodic chiral structures. Zbl 1174.78002
Ammari, Habib; Bao, Gang
2008
$$L^p$$ estimates of time-harmonic Maxwell’s equations in a bounded domain. Zbl 1151.78009
Bao, Gang; Li, Ying; Zhou, Zhengfang
2008
Recent studies on inverse medium scattering problems. Zbl 1137.78011
Bao, G.; Hou, S.; Li, P.
2008
Inverse scattering by a continuation method with initial guesses from a direct imaging algorithm. Zbl 1126.78010
Bao, Gang; Hou, Songming; Li, Peijun
2007
$$L^p$$ estimates for Maxwell’s equations with source term. Zbl 1126.35071
Bao, Gang; Minut, Aurelia; Zhou, Zhengfang
2007
Numerical solution of nonlinear diffraction problems. Zbl 1092.78012
Bao, Gang; Li, Ying; Wu, Haijun
2006
A fast algorithm for the electromagnetic scattering from a large cavity. Zbl 1089.78024
Bao, Gang; Sun, Weiwei
2005
Inverse medium scattering for the Helmholtz equation at fixed frequency. Zbl 1086.35120
Bao, Gang; Li, Peijun
2005
Convergence analysis of the perfectly matched layer problems for time-harmonic Maxwell’s equations. Zbl 1145.78303
Bao, Gang; Wu, Haijun
2005
Inverse medium scattering problems for electromagnetic waves. Zbl 1114.78006
Bao, Gang; Li, Peijun
2005
Numerical solution of the Helmholtz equation with high wavenumbers. Zbl 1043.65132
Bao, Gang; Wei, G. W.; Zhao, Shan
2004
Inverse medium scattering for three-dimensional time harmonic Maxwell equations. Zbl 1119.35039
Bao, Gang; Li, Peijun
2004
Analysis of finite dimensional approximations to a class of partial differential equations. Zbl 1064.65125
Bao, Gang; Zhou, Aihui
2004
Recent mathematical studies in the modeling of optics and electromagnetics. Zbl 1049.78006
Bao, Gang
2004
Maxwell’s equations in periodic chiral structures. Zbl 1066.78010
Ammari, Habib; Bao, Gang
2003
Numerical solution of inverse scattering problems with multi-experimental limited aperture data. Zbl 1048.65058
Bao, Gang; Liu, Jun
2003
Optimal design of nonlinear diffraction gratings. Zbl 1036.78008
Bao, Gang; Huang, Kai; Schmidt, Gunther
2003
An inverse source problem for Maxwell’s equations in magnetoencephalography. Zbl 1003.35123
Ammari, Habib; Bao, Gang; Fleming, John L.
2002
Analysis of the electromagnetic scattering from a cavity. Zbl 1033.78005
Ammari, Habib; Bao, Gang; Wood, Aihua W.
2002
A cavity problem for Maxwell’s equations. Zbl 1170.78335
Ammari, Habib; Bao, Gang; Wood, Aihua W.
2002
Maxwell’s equations in a perturbed periodic structure. Zbl 0991.35091
Ammari, Habib; Bao, Gang
2002
Mathematical modeling of near-field optics. Zbl 1086.35106
Ammari, Habib; Bao, Gang
2002
Mathematical modeling in optical science. Proceedings of a minisymposium on optics at SIAM’s annual meeting, Stanford Univ., Palo Alto, CA, USA, 1997. Zbl 0964.00050
Bao, Gang (ed.); Cowsar, Lawrence (ed.); Masters, Wen (ed.)
2001
Optimal design of periodic diffractive structures. Zbl 0978.49004
Bao, G.; Bonnetier, E.
2001
Analysis of the scattering map of a linearized inverse medium problem for electromagnetic waves. Zbl 0985.78017
Ammari, Habib; Bao, Gang
2001
Variational methods for diffractive optics modelling. Zbl 0981.78007
Bao, Gang; Dobson, David C.
2001
An integral equation method for the electromagnetic scattering from cavities. Zbl 0991.78012
Ammari, Habib; Bao, Gang; Wood, Aihua W.
2000
On the scattering by a biperiodic structure. Zbl 1025.78007
Bao, Gang; Dobson, David C.
2000
Regularity and stability for the scattering map of a linearized inverse medium problem. Zbl 0960.35108
Bao, Gang; Chen, Yu; Ma, Fuming
2000
Numerical solution of diffraction problems by a least-squares finite element method. Zbl 0958.78010
Bao, Gang; Cao, Yanzhao; Yang, Hongtao
2000
A least-squares finite element analysis for diffraction problems. Zbl 1025.78008
Bao, Gang; Yang, Hongtao
2000
The effect of thin coatings on second harmonic generation. Zbl 0928.35172
Ammari, Habib; Bao, Gang; Hamdache, Kamel
1999
An inverse problem for scattering by a doubly periodic structure. Zbl 0898.35111
Bao, Gang; Zhou, Zhengfang
1998
Modeling and optimal design of diffractive optical structures. Zbl 0932.65116
Bao, Gang; Dobson, David C.
1998
On the relation between the coefficients and solutions for a diffraction problem. Zbl 0909.35147
Bao, Gang
1998
Smoothness between coefficients and boundary values for the wave equation. Zbl 0923.35202
Bao, Gang
1998
Variational approximation of Maxwell’s equations in biperiodic structures. Zbl 0872.65108
Bao, Gang
1997
...and 13 more Documents
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#### Cited by 803 Authors

 47 Bao, Gang 35 Hu, Guanghui 32 Li, Peijun 20 Ammari, Habib M. 20 Li, Jichun 18 Huang, Yunqing 18 Zhang, Bo 17 Liu, Hongyu 16 Guo, Yukun 14 Li, Peijun 14 Ma, Fuming 11 Li, Jingzhi 11 Yin, Tao 11 Zhang, Deyue 11 Zhang, Haiwen 10 Du, Kui 10 Elschner, Johannes 10 Sun, Weiwei 10 Zhao, Yue 9 Isakov, Victor M. 9 Klibanov, Michael V. 9 Wu, Haijun 9 Yan, Guozheng 9 Yang, Jiaqing 9 Yang, Wei 9 Zou, Jun 8 Lai, Jun 8 Lu, Shuai 8 Nguyen, Dinh Liem 8 Nicholls, David P. 8 Triki, Faouzi 8 Uhlmann, Gunther Alberto 8 Zhang, Lei 7 Chen, Ruyun 7 Ji, Xia 7 Kang, Hongchao 7 Liu, Xiaodong 6 Feng, Lixin 6 Kian, Yavar 6 Li, Jianliang 6 Stefanov, Plamen D. 6 Sun, Jiguang 6 Wang, Yuliang 6 Wei, Guowei 6 Wood, Aihua W. 6 Wu, Jiming 6 Xu, Zhenhua 6 Yamamoto, Masahiro 6 Zhang, Hai 6 Zheng, Weiying 5 Choulli, Mourad 5 Kang, Hyeonbae 5 Lassas, Matti 5 Liu, Jijun 5 Qu, Fenglong 5 Schmidt, Gunther 5 Sini, Mourad 5 Wang, Xianchao 5 Wang, Zhoufeng 5 Xu, Xiang 5 Yuan, Ganghua 5 Zhang, Xiaoping 5 Zhao, Shan 4 Abreu-Blaya, Ricardo 4 Barnett, Alex H. 4 Bory Reyes, Juan 4 Chen, Zhiming 4 Deng, Youjun 4 Dong, Heping 4 Entekhabi, Mozhgan Nora 4 Fang, Chunhua 4 Gao, Yixian 4 Greengard, Leslie F. 4 Han, Bo 4 Liu, Di 4 Liu, Keji 4 Vasy, András 4 Wang, Yu-Jie 4 Xiang, Shuhuang 4 Xu, Fei 4 Xu, Xiaoxu 4 Yang, Haizhao 4 Zhang, Jianhua 4 Zhang, Ruming 4 Zheng, Enxi 4 Zhou, Hao-Min 4 Zhou, Zhengfang 3 Ammari, Kais 3 Baysal, Onur 3 Borges, Carlos F. 3 Boyd, John Philip 3 Chen, Chuchu 3 Chow, Yat Tin 3 Dai, Hua 3 Dassios, George 3 Dobson, David C. 3 Fu, Hongsun 3 Hasanoǧlu, Alemdar 3 Helin, Tapio 3 Hong, Youngjoon ...and 703 more Authors
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#### Cited in 124 Serials

 66 Journal of Computational Physics 53 Inverse Problems 31 Journal of Computational and Applied Mathematics 24 Journal of Differential Equations 24 SIAM Journal on Applied Mathematics 21 Inverse Problems and Imaging 19 Applicable Analysis 19 Mathematical Methods in the Applied Sciences 17 Computers & Mathematics with Applications 17 Applied Mathematics and Computation 16 SIAM Journal on Scientific Computing 15 Applied Numerical Mathematics 14 SIAM Journal on Numerical Analysis 14 Journal of Inverse and Ill-Posed Problems 14 Inverse Problems in Science and Engineering 13 Computer Methods in Applied Mechanics and Engineering 13 Journal of Scientific Computing 12 Mathematics of Computation 12 SIAM Journal on Imaging Sciences 10 Journal of Mathematical Analysis and Applications 10 SIAM Journal on Mathematical Analysis 6 Archive for Rational Mechanics and Analysis 6 Numerische Mathematik 5 Acta Mathematicae Applicatae Sinica. English Series 5 Applied Mathematics Letters 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Multiscale Modeling & Simulation 5 East Asian Journal on Applied Mathematics 4 Journal of Mathematical Physics 4 Transactions of the American Mathematical Society 4 International Journal of Computer Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Advances in Computational Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Discrete and Continuous Dynamical Systems. Series S 4 Electronic Research Archive 3 Communications in Mathematical Physics 3 Wave Motion 3 Proceedings of the American Mathematical Society 3 Numerical Methods for Partial Differential Equations 3 Numerical Algorithms 3 Communications in Partial Differential Equations 3 Journal of Elasticity 3 Applied Mathematics. Series B (English Edition) 3 Computational and Applied Mathematics 3 Mathematical Problems in Engineering 3 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Computational Methods 3 Advances in Difference Equations 3 Science China. Mathematics 3 SIAM/ASA Journal on Uncertainty Quantification 2 BIT 2 Calcolo 2 Computing 2 Integral Equations and Operator Theory 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Quarterly of Applied Mathematics 2 Journal of the American Mathematical Society 2 European Journal of Applied Mathematics 2 Applications of Mathematics 2 Applied Mathematical Modelling 2 Computational Optimization and Applications 2 Applied and Computational Harmonic Analysis 2 Journal of the European Mathematical Society (JEMS) 2 International Journal of Applied Mathematics and Computer Science 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mediterranean Journal of Mathematics 2 Boundary Value Problems 2 Results in Applied Mathematics 1 Acta Mechanica 1 Communications on Pure and Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Mechanics Research Communications 1 Quaestiones Mathematicae 1 Studies in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Computer Aided Geometric Design 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Linear Algebra and its Applications 1 SIAM Review 1 Vestnik St. Petersburg University. Mathematics 1 The Journal of Analysis 1 Statistical Papers 1 Numerical Linear Algebra with Applications ...and 24 more Serials
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#### Cited in 37 Fields

 423 Partial differential equations (35-XX) 353 Numerical analysis (65-XX) 290 Optics, electromagnetic theory (78-XX) 70 Mechanics of deformable solids (74-XX) 43 Fluid mechanics (76-XX) 29 Integral equations (45-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 21 Approximations and expansions (41-XX) 15 Potential theory (31-XX) 15 Integral transforms, operational calculus (44-XX) 15 Operator theory (47-XX) 14 Biology and other natural sciences (92-XX) 13 Probability theory and stochastic processes (60-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Quantum theory (81-XX) 10 Geophysics (86-XX) 9 Special functions (33-XX) 8 Differential geometry (53-XX) 8 Statistics (62-XX) 8 Computer science (68-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Ordinary differential equations (34-XX) 6 Information and communication theory, circuits (94-XX) 5 Functions of a complex variable (30-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Systems theory; control (93-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Operations research, mathematical programming (90-XX) 3 Functional analysis (46-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX)