preprint


  1. (with Y. Zhao) Stability on the one-dimensional inverse source scattering problem in a two-layered medium, submitted, 2017.
  2. [ PDF ]

  3. (with X. Yuan) Inverse obstacle scattering for elastic waves in three dimensions, submitted, 2017.
  4. [ PDF ]

  5. (with M. Li and C. Chen) Inverse random source scattering for the Helmholtz equation in inhomogeneous media, submitted, 2017.
  6. [ PDF ]

  7. (with X. Ji and J. Sun) Computation of transmission eigenvalues for elastic waves, submitted, 2017.
  8. [ PDF ]

  9. (with G. Bao and Y. Zhao) Stability in the inverse source problem for elastic and electromagnetic waves with multi-frequencies , submitted, 2017.
  10. [ PDF ]

  11. (with X. Jiang, J. Lv, and W. Zheng) Convergence of the PML solution for elastic wave scattering by biperiodic structures, submitted, 2016.
  12. [ PDF ]

  13. (with Y. Gao) Time-domain analysis of an acoustic-elastic interaction problem, submitted, 2016.
  14. [ PDF ]



journal


  1. (with J. Lai, M. Li, and W. Li) A fast direct imaging method for the inverse obstacle scattering problem with nonlinear point scatterers, Inverse Problems and Imaging, to appear. 
  2. [ PDF | Journal Link ]

  3. (with J. Zheng, J. Cheng, and S. Lu) Periodic surface identification with phase or phaseless near-field data, Inverse Problems, to appear. 
  4. [ PDF | Journal Link ]

  5. (with G. Bao and C. Chen) Inverse random source scattering for elastic waves, SIAM J. Numer. Anal., to appear. 
  6. [ PDF | Journal Link ]

  7. (with Y. Gao and B. Zhang) Analysis of transient acoustic-elastic interaction in an unbounded structure, SIAM J. Math. Anal., 49 (2017), 3951-3972. 
  8. [ PDF | Journal Link ]

  9. (with X. Jiang) Inverse electromagnetic diffraction by biperiodic dielectric gratings, Inverse Problems, 33 (2017), 085004. 
  10. [ PDF | Journal Link ]

  11. (with Y. Gao) Electromagnetic scattering for time-domain Maxwell's equations in an unbounded structure, Math. Models Methods Appl. Sci., 27 (2017), 1843-1870.
  12. [ PDF | Journal Link ]

  13. (with X. Jiang) An adaptive finite element PML method for the acoustic-elastic interaction in three dimensions, Commun. Comput. Phys., 22 (2017), 1486-1507.  
  14. [ PDF | Journal Link ]

  15. (with X. Jiang, J. Lv, and W. Zheng) An adaptive finite element PML method for the elastic wave scattering problem in periodic structures, ESAIM: Math. Model. Numer. Anal., to appear.   
  16. [ PDF | Journal Link ]

  17. (with G. Yuan) Increasing stability for the inverse source scattering problem with multi-frequencies, Inverse Problems and Imaging, 11 (2017), 745-759.
  18. [ PDF | Journal Link ]

  19. (with X. Jiang, J. Lv, and W. Zheng) An adaptive finite element method for the wave scattering with transparent boundary condition, J. Sci. Comput., 72 (2017), 936-956. 
  20. [ PDF | Journal Link ]

  21. (with G. Yuan) Stability on the inverse random source scattering problem for the one-dimensional Helmholtz equation, J. Math. Anal. Appl., 450 (2017), 872-887. 
  22. [ PDF | Journal Link ]

  23. (with G. Zheng and W. Zheng)  Maxwell's equations in an unbounded structure, Math. Meth. Appl. Sci., 40 (2017), 573-588.
  24. [ PDF | Journal Link ]

  25. (with Y. Wang, Z. Wang, and Y. Zhao) Inverse obstacle scattering for elastic waves, Inverse Problems, 32 (2016), 115018. 
  26. [ PDF | Journal Link ]

  27. (with G. Bao and C. Chen) Inverse random source scattering problems in several dimensions, SIAM/ASA J. Uncertainty Quantification, 4 (2016), 1263-1287. 
  28. [ PDF | Journal Link ]

  29. (with Y. Gao) Analysis of time-domain scattering by periodic structures, J. Differential Equations, 261 (2016), 5094-5118.  
  30. [ PDF | Journal Link ]

  31. (with Y. Wang and Y. Zhao) Near-field imaging of biperiodic surfaces for elastic waves, J. Comput. Phys., 324 (2016), 1-23. 
  32. [ PDF | Journal Link ]

  33. (with M. Li) A survey of open cavity scattering problems, J. Comp. Math., to appear. 
  34. [ PDF | Journal Link ]

  35. (with G. Bao and Y. Wang)  Near-field imaging with far-field data, Appl. Math. Lett., 60 (2016), 36-42. 
  36. [ PDF | Journal Link ]

  37. (with X. Jiang and W. Zheng)  Eddy current model for nondestructive evaluation with thin cracks, SIAM J. Sci. Comput., 38 (2016), A973-A996. 
  38. [ PDF | Journal Link ]

  39. (with Y. Wang and Y. Zhao) Convergence analysis in near-field imaging for elastic waves, Applicable Analysis, 95 (2016), 2339-2360. 
  40. [ PDF | Journal Link ]

  41. (with J. Li, H. Liu, and X. Liu) Recovering multiscale buried anomalies in a two-layered medium, Inverse Problems, 31 (2015), 105006. 
  42. [ PDF | Journal Link ]

  43. (with G. Bao, J. Lin, and F. Triki) Inverse scattering problems with multi-frequencies, Inverse Problems, 31 (2015), 093001. 
  44. [ PDF | Journal Link ]

  45. (with Y. Wang) Near-field imaging of small perturbed obstacles for elastic waves, Inverse Problems, 31 (2015), 085010. 
  46. [ PDF | Journal Link ]

  47. (with L. Wang and A. Wood) Analysis of transient electromagnetic scattering from a three-dimensional  open cavity, SIAM J. Appl. Math., 75 (2015), 1675-1699. 
  48. [ PDF | Journal Link ]

  49. (with Y. Wang) Numerical solution of an inverse obstacle scattering problem with near-field data, J. Comput. Phys., 290 (2015), 157-168.
  50. [ PDF | Journal Link ]

  51. (with Z. Wang, G. Bao, J. Li, and H. Wu) An adaptive finite element method for the diffraction grating problem with transparent boundary condition, SIAM J. Numer. Anal., 53 (2015), 1585-1607.
  52. [ PDF | Journal Link ]

  53. (with Y. Wang and Y. Zhao) Inverse elastic surface scattering with near-field data, Inverse Problems, 31 (2015), 035009. 
  54. [ PDF | Journal Link ]

  55. (with Y. Wang) Near-field imaging of interior cavities, Commun. Comput. Phys., 17 (2015), 542-563.
  56. [ PDF | Journal Link ]

  57. (with Y. Wang) Near-field imaging of obstacles, Inverse Problems and Imaging, 9 (2015), 189-210.
  58. [ PDF | Journal Link ]

  59. (with Y. He and J. Shen) A new spectral method for numerical solution of the unbounded rough surface scattering problem, J. Comput. Phys., 275 (2014), 608-625. 
  60. [ PDF | Journal Link ]

  61. (with G. Bao) Convergence analysis in near-field imaging, Inverse Problems, 30 (2014), 085008.  
  62. [ PDF | Journal Link ]

  63. (with G. Bao) Near-field imaging of infinite rough surfaces in dielectric media, SIAM J. Imaging Sci., 7 (2014), 867-899.
  64. [ PDF | Journal Link ]

  65. (with G. Bao, S.-N. Chow, and H. Zhou) An inverse random source problem for the Helmholtz equation, Math. Comp., 83 (2014), 215-233.
  66. [ PDF | Journal Link ]

  67. (with G. Bao, K. Huang, and H. Zhao) A direct imaging method for inverse scattering using the generalized Foldy–Lax formulation, Contemp. Math., 615 (2014), 49-70.
  68. [ PDF | Journal Link ]

  69. (with G. Bao and T. Cui) Inverse diffraction grating of Maxwell’s equations in biperiodic structures, Optics Express, 22 (2014), 4799-4816.
  70. [ PDF | Journal Link ]

  71. (with A. Wood) Electromagnetic scattering by multiple cavities embedded in the infinite 2D ground plane, ACES Journal, 29 (2014), 505-514. 
  72. [ PDF | Journal Link ]

  73. (with G. Bao) Near-field imaging of infinite rough surfaces, SIAM J. Appl. Math., 73 (2013), 2162-2187.
  74. [ PDF | Journal Link ]

  75. (with T. Cheng and Y. Wang) Near-field imaging of perfectly conducting grating surfaces, J. Opt. Soc. Am. A, 30 (2013), 2473-2481.
  76. [ PDF | Journal Link ]

  77. (with A. Wood) A two-dimensional Helmholtz equation solution for the multiple cavity scattering problem, J. Comput. Phys., 240 (2013), 100-120.
  78. [ PDF | Journal Link ]

  79. (with W. Zheng) An H-\psi formulation for the three-dimensional eddy current problem in laminated structures, J. Differential Equations, 254 (2013), 3476-3500.
  80. [ PDF | Journal Link ]

  81. (with G. Bao and J. Lv) Numerical solution of an inverse diffraction grating problem from phaseless data, J. Opt. Soc. Am. A, 30 (2013), 293-299.
  82. [ PDF | Journal Link ]

  83. (with K. Huang and H. Zhao) An efficient algorithm for the generalized Foldy–Lax formulation, J. Comput. Phys., 234 (2013), 376-398.
  84. [ PDF | Journal Link ]

  85. (with G. Bao and T. Ehlers) Radiogenic source identification for the Helium production-diffusion equation, Commun. Comput. Phys., 14 (2013), 1-20.
  86. [ PDF | Journal Link ]

  87. (with X. Jiang and W. Zheng) Numerical solution of acoustic scattering by an adaptive DtN finite element method, Commun. Comput. Phys., 13 (2013), 1227-1244.
  88. [ PDF | Journal Link ]

  89. (with J. Shen) Analysis of the scattering by an unbounded rough surface, Math. Meth. Appl. Sci., 35 (2012), 2166–2184.
  90. [ PDF | Journal Link ]

  91. (with H. Wu and W. Zheng) An overfilled cavity problem for Maxwell's equations, Math. Meth. Appl. Sci., 35 (2012), 1951-1979.
  92. [ PDF | Journal Link ]

  93. (with G. Bao and H. Wu) A computational inverse diffraction grating problem, J. Opt. Soc. Am. A, 29 (2012), 394-399.
  94. [ PDF | Journal Link ]

  95. An inverse cavity problem for Maxwell's equations, J. Differential Equations, 252 (2012), 3209-3225.
  96. [ PDF | Journal Link ]

  97. (with H. Wu and W. Zheng) Electromagnetic scattering by unbounded rough surfaces, SIAM J. Math. Anal., 43 (2011), 1205-1231.
  98. [ PDF | Journal Link ]

  99. (with G. Bao and J. Gao) Analysis of direct and inverse cavity scattering problems, Numer. Math. Theor. Meth. Appl., 4 (2011), 419-442.
  100. [ PDF | Journal Link ]

  101. An inverse random source scattering problem in inhomogeneous media, Inverse Problems, 27 (2011), 035004.
  102. [ PDF | Journal Link ]

  103. (with G. Bao, Y. Dou, T. Ehlers, Y. Wang, and Z. Xu) Quantifying tectonic and geomorphic interpretations of thermochronometer data: the reconstruction of mountain surface, Commun. Comput. Phys., 9 (2011), 129-146.
  104. [ PDF | Journal Link ]

  105. (with K. Huang) A two-scale multiple scattering problem, Multiscale Model. Simul., 8 (2010), 1511-1534.
  106. [ PDF | Journal Link ]

  107. (with G. Bao, S.-N. Chow, and H. Zhou) Numerical solution of an inverse medium scattering problem with a stochastic source, Inverse Problems, 26 (2010), 074014.
  108. [ PDF | Journal Link ]

  109. Coupling of finite element and boundary integral method for electromagnetic scattering in a two-layered medium, J. Comput. Phys., 229 (2010), 481-497.
  110. [ PDF | Journal Link ]

  111. (with G. Bao and H. Wu) An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures, Math. Comp., 79 (2010), 1-34.
  112. [ PDF | Journal Link ]

  113. (with G. Bao) Numerical solution of an inverse medium scattering problem for Maxwell's equations at fixed frequency, J. Comput. Phys., 228 (2009), 4638-4648.
  114. [ PDF | Journal Link ]

  115. (with H. Johnston and R. Krasny) A Cartesian treecode for screened Coulomb interactions, J. Comput. Phys., 228 (2009), 3858-3868.
  116. [ PDF | Journal Link ]

  117. Numerical simulations of global approach for photon scanning tunneling microscopy: coupling of finite-element and boundary integral methods, J. Opt. Soc. Am. A, 25 (2008), 1929-1936.
  118. [ PDF | Journal Link ]

  119. (with G. Bao and S. Hou) Inverse scattering by a continuation method with initial guesses from a direct imaging algorithm, J. Comput. Phys., 227 (2007), 755-762.
  120. [ PDF | Journal Link ]

  121. (with G. Bao) Numerical solution of inverse scattering for near-field optics, Optics Letters, 32 (2007), 1465-1467.
  122. [ PDF | Journal Link ]

  123. (with G. Bao) Inverse medium scattering problems in near-field optics, J. Comp. Math., 25 (2007), 252-265.
  124. [ PDF | Journal Link ]

  125. (with G. Bao) Inverse medium scattering for the Helmholtz equation at fixed frequency, Inverse Problems, 21 (2005), 1621-1641.
  126. [ PDF | Journal Link ]

  127. (with G. Bao) Inverse medium scattering problems for electromagnetic waves, SIAM J. Appl. Math., 65 (2005), 2049-2066.
  128. [ PDF | Journal Link ]

  129. (with J. Enders, W. Geng, M. Frazier, and D. Scholl) The shift-invariant discrete wavelet transform and application to speech waveform analysis, J. Acoust. Soc. Am., 117 (2005), 2122-2133.
  130. [ PDF | Journal Link ]

  131. (with G. Bao) Inverse medium scattering for three-dimensional time harmonic Maxwell's equations, Inverse Problems, 20 (2004), L1-L7.
  132. [ PDF | Journal Link ]

  133. (with Y. Zhang and H. Zheng) A method of speeding two-grid method for solving Toeplitz system, J. Wuhan Univ. Natur. Sci. Ed., 47 (2001), 277-280.
  134. [ PDF | Journal Link ]



book chapter


  1. (with G. Bao) Shape reconstruction of inverse medium scattering for the Helmholtz equation, Computational Methods for Applied Inverse Problems, ed. by Y. Wang, A. Yagola, and C. Yang, De Gruyter and Higher Education Press, Beijing , 2012, 283-306.
  2. [ PDF | Book Link ]

  3. (with G. Bao and S. Hou) Recent studies on inverse medium scattering problems, Modeling and Computations in Electromagnetics, Lecture Notes in Computational Science and Engineering, H. Ammari, eds., Volume 59, Springer-Verlag, Berlin, 2007, 165-186.
  4. [ PDF | Book Link ]

  5. (with G. Bao) Computational inverse medium scattering at fixed frequency, Advances in Applied and Computational Mathematics, Nova Sci. Publ., Hauppauge, New York, 2006, 1-9.
  6. [ PDF | Book Link ]

  7. (with G. Zhang) An inverse problem of derivative security pricing, in Recent Developments in Theories and Numerics, Proceedings of the International Conf. on Inverse Problems, ed. by Y. Hon, M. Yamamoto, J. Cheng, and J. Lee, World Sci., Hong Kong, 2003, 411-419.
  8. [ PDF | Book Link ]