Preprint
- (with G. Bao) Near-field imaging of infinite rough surfaces, submitted, 2013.
- (with Y. He and J. Shen) A new spectral method for numerical solution of the unbounded rough surface scattering problem, submitted, 2012.
- (with A. Wood) Electromagnetic scattering by multiple cavities embedded in the infinite two-dimensional ground plane, submitted, 2012.
- (with K. Huang and H. Zhao) A direct imaging method for inverse scattering using the Generalized Foldy–Lax formulation, submitted, 2012.
- (with G. Bao, T. Ehlers, and G. Zheng) A nonuniqueness result for an inverse diffusivity problem in thermochronometry, submitted, 2012.
journal publication
- (with G. Bao, S.-N. Chow, and H. Zhou) An inverse random source problem for the Helmholtz equation, Math. Comp., to appear.
- (with A. Wood) A two-dimensional Helmholtz equation solution for the multiple cavity scattering problem, J. Comput. Phys., 240 (2013), 100-120.
- (with W. Zheng) An H-\psi formulation for the three-dimensional eddy current problem in laminated structures, J. Differential Equations, 254 (2013), 3476-3500.
- (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.
- (with K. Huang and H. Zhao) An efficient algorithm for the generalized Foldy–Lax formulation, J. Comput. Phys., 234 (2013), 376-398.
- (with G. Bao and T. Ehlers) Radiogenic source identification for the Helium production-diffusion equation, Commun. Comput. Phys., 14 (2013), 1-20.
- (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.
- (with J. Shen) Analysis of the scattering by an unbounded rough surface, Math. Meth. Appl. Sci., 35 (2012), 2166–2184.
- (with H. Wu and W. Zheng) An overfilled cavity problem for Maxwell's equations, Math. Meth. Appl. Sci., 35 (2012), 1951-1979.
- (with G. Bao and H. Wu) A computational inverse diffraction grating problem, J. Opt. Soc. Am. A, 29 (2012), 394-399.
- An inverse cavity problem for Maxwell's equations, J. Differential Equations, 252 (2012), 3209-3225.
- (with H. Wu and W. Zheng) Electromagnetic scattering by unbounded rough surfaces, SIAM J. Math. Anal., 43 (2011), 1205-1231.
- (with G. Bao and J. Gao) Analysis of direct and inverse cavity scattering problems, Numer. Math. Theor. Meth. Appl., 4 (2011), 419-442.
- An inverse random source scattering problem in inhomogeneous media, Inverse Problems, 27 (2011), 035004.
- (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.
- (with K. Huang) A two-scale multiple scattering problem, Multiscale Model. Simul., 8 (2010), 1511-1534.
- (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.
- Coupling of finite element and boundary integral method for electromagnetic scattering in a two-layered medium, J. Comput. Phys., 229 (2010), 481-497.
- (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.
- (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.
- (with R. Krasny and H. Johnston) A Cartesian treecode for screened Coulomb interactions, J. Comput. Phys., 228 (2009), 3858-3868.
- 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.
- (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.
- (with G. Bao) Numerical solution of inverse scattering for near-field optics, Optics Letters, 32 (2007), 1465-1467.
- (with G. Bao) Inverse medium scattering problems in near-field optics, J. Comp. Math., 25 (2007), 252-265.
- (with G. Bao) Inverse medium scattering for the Helmholtz equation at fixed frequency, Inverse Problems, 21 (2005), 1621-1641.
- (with G. Bao) Inverse medium scattering problems for electromagnetic waves, SIAM J. Appl. Math., 65 (2005), 2049-2066.
- (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.
- (with G. Bao) Inverse medium scattering for three-dimensional time harmonic Maxwell's equations, Inverse Problems, 20 (2004), L1-L7.
- (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.
Book chapter
- (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.
- (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.
- (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.
- (with G. Zhang) An inverse problem of derivative security pricing, in Recent Developments in Theories & 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.