PUBLICATIONS: GENERAL CLASSIFICATION

A. ARTICLES PUBLISHED OR ACCEPTED FOR PUBLICATION IN RESEARCH JOURNALS

  1. A Direct Imaging Method for Electromagnetic Scattering Data without Phase Information, with G. Huang, SIAM J. Imaging Sciences, to appear.

  2. Phaseless Imaging by Reverse Time Migration: Acoustic Waves, with G. Huang, Numer. Math. Theor. Meth. Appl., to appear.

  3. Convergence of the PML Method for Elastic Wave Scattering Problems, with X. Xiang and X. Zhang, Math. Comp., to appear.

  4. An Adaptive Immersed Finite Element Method with Arbitrary Lagrangian-Eulerian Scheme for Parabolic Equations in Time Variable Domains, with Z. Wu and Y. Xiao, International Journal of Numerical Analysis and Modeling 12 (2015), 567-591.

  5. Reverse Time Migration for Reconstructing Extended Obstacles in the Half Space, with G. Huang, Inverse Problems 31 (2015) 055007 (19pp) .

  6. Reverse Time Migration for Extended Obstacles: Elastic Waves (in Chinese), with G. Huang Sci. Sin. Math. 45 (2015), 11031114, doi: 10.1360/N012014-00097.

  7. Reverse Time Migration for Reconstructing Extended Obstacles in Planar Acoustic Waveguides, with G. Huang, Science in China: Series A Mathematics 58 (2015), 1811-1834.

  8. Target Detection and Characterization from Electromagnetic Induction Data, with H. Ammari, J. Chen, J. Garnier, and Volkov, J. Math. Pures Appl. 101 (2014), 54-75.

  9. Reverse Time Migration for Extended Obstacles: Electromagnetic Waves, with J. Chen and G. Huang, Inverse Problems 29 (2013) 085006 (17pp).

  10. A Source Transfer Domain Decomposition Method For Helmholtz Equations in Unbounded Domain, with X. Xiang, SIAM J. Numer. Anal. 51 (2013), 2331-2356.

  11. Reverse Time Migration for Extended Obstacles: Acoustic Waves, with J. Chen and G. Huang, Inverse Problems 29 (2013) 085005 (17pp).

  12. An Anisotropic Perfectly Matched Layer Method for Helmholtz Scattering Problems with Discontinuous Wave Number, with C. Liang and X. Xiang, Inverse Problems and Imaging 7 (2013), 663-678.

  13. A Source Transfer Domain Decomposition Method For Helmholtz Equations in Unbounded Domain, Part II: Extensions, with X. Xiang, Numer. Math. Theor. Meth. Appl. 6 (2013), 538-555.

  14. Long-time Stability and Convergence of the Uniaxial Perfectly Matched Layer Method for Time-domain Acoustic Scattering Problems with Xinming Wu, SIAM J. Numer. Anal. 50 (2012), 2632-2655.

  15. An adaptive anisotropic perfectly matched layer method for 3-D time harmonic electromagnetic scattering problems with Tao Cui and Linbo Zhang, Numer. Math. 125 (2013), 639-677.

  16. ParAFEMCap: A parallel adaptive finite element method for 3-D VLSI Interconnect Capacitance Extraction with G. Chen, H. Zhu, T. Cui, X. Zeng, W. Cai, IEEE Transaction on Microwave Theory and Techniques 60 (2012), 218-231.

  17. Convergence of the uniaxial perfectly matched layer method for time-harmonic scattering problems in two-layered media with Weiying Zheng, SIAM J. Numer. Anal, 48 (2010), 2158-2185.

  18. An Adaptive Finite Element Method for the Eddy Current Model with Circuit/Field Couplings with Junqing Chen, Tao Cui and Linbo Zhang, SIAM J. Sci. Computing, 32 (2010), 1020-1042.

  19. The adaptive immersed interface finite element method for elliptic and Maxwell interface problems, with Yuanming Xiao and Linbo Zhang, Journal of Computational Physics 228 (2009), 5000-5019.

  20. An $hp$ Adaptive Uniaxial Perfectly Matched Layer Method for Helmholtz Scattering Problems with B.Q. Guo and Y.M. Xiao, Communications in Computational Physics 5 (2009), 546-564.

  21. Convergence of the time-domain perfectly matched layer method for acoustic problems International Journal of Numerical Analysis and Modeling, 6 (2009), 124-146.

  22. On Maxwell Equations with the transparent boundary condition with J.-C. Nedelec, J. Comput. Math. 26 (2008), 284-296.

  23. An adaptive uniaxial perfectly matched layer technique for Time-Harmonic Scattering Problems with X.M. Wu, Numerical Mathematics: Theory, Methods and Applications, 1 (2008), 113-137.

  24. An adaptive perfectly matched layer technique for 3-D time-harmonic electromagnetic scattering problems with J. Chen, Math. Comp. 77 (2008), 673-698.

  25. An adaptive multilevel method for time-harmonic Maxwell equations with singularities, with L. Wang and W. Zheng, SIAM J. Sci. Comput., 29 (2007), 118-138.

  26. Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic, with H. Wu, Science in China: Series A Mathematics 49 (2006), 1405-1429.

  27. An adaptive finite element method for the ${\bf H}-\psi$ formulation of time-dependent eddy current problems, with W.Y. Zheng and L. Wang, Numer. Math. 103 (2006), 667-689.

  28. Recent advances of upscaling methods for the simulation of flow transport through heterogeneous porous media, Journal of Computational Mathematics 24 (2006), 393-400.

  29. Sharp $L^1$ a posteriori error analysis for nonlinear convection-diffusion problems with G.H. Ji, Math. Comp. 75 (2006), 43-71.

  30. Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media,
    with W.B. Deng and H. Ye, Communications in Mathematical Sciences 3 (2005), 493-515.

  31. An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems, with X.Z. Liu, SIAM J. Numer. Anal. 43 (2005), 645-671.

  32. A New Upscaling Method for the solute transport equations, with W.B. Deng and H. Ye, Continuous and Discrete Dynamical Systems 13 (2005), 941-962.

  33. An adaptive finite element method for diffraction gratings, with G. Bao and H.J. Wu, Journal of the Optical Society of America A 22 (2005), 1106-1114.

  34. Adaptive computation for convection dominated diffusion problems with G.H. Ji, Science in China (Series A) 47 (2004), Supp. 22-31.

  35. An adaptive finite element method with reliable and efficient error control for linear parabolic problems with F. Jia, Math. Comp. 73 (2004), 1163-1197.

  36. On finite element methods for inhomogeneous dielectric waveguides, with J.H. Yuan, J. Comput. Math. 22 (2004), 188-200.

  37. An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures with H.J. Wu, SIAM J. Numer. Anal. 41 (2003), 799-826.

  38. Numerical homogenization of well singularities in the flow transport through heterogeneous porous media with X.Y. Yue, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 1 (2003), 260-303.

  39. A mixed multiscale finite element method for elliptic problems with oscillating coefficients with T.Y. Hou, Math. Comp. 72 (2002), 541-576.

  40. On the efficiency of adaptive finite element methods for elliptic problems with discontinous coefficients with S. Dai, SIAM J. Sci. Comput. 24 (2002), 443-462.

  41. Adaptive Galerkin method with error control for a dynamical Ginzburg-Landau model in superconductivity with S. Dai, SIAM J. Numer. Anal. 38 (2001), 1961-1985.

  42. On the augmented Lagrangian approach to Signorini elastic contact problem Numer. Math. 88 (2001), 641-659.

  43. A posteriori error control and adaptivity for a phase relaxation model, with R.H. Nochetto and A. Schmidt, Math. Model. Numer. Anal. 34 (2000), 775-797.

  44. An upwinding finite element method for a mean field model for superconducting vortices, with Q. Du, Math. Model. Numer. Anal. 34 (2000), 687-706

  45. Finite element methods with matching and non-matching meshes for Maxwell equations with discontinuous coefficients, with Q. Du and J. Zou, SIAM J. Numer. Anal. 37 (2000), 1524-1570

  46. An adaptive finite element method with error control for the continuous casting problem, with R.H. Nochetto and A. Schmidt, Computer Meth. Appl. Mech. Engrg. 189 (2000), 249-276

  47. Numerical methods for Stefan problems with prescribed convection and nonlinear flux, with T.M. Shih and Y.X.Yue, IMA J. Numer. Anal. 20 (2000), 81-98

  48. Residual type a posteriori error estimates for elliptic obstacle problems, with R.H. Nochetto, Numer. Math. 84 (2000), 527-548

  49. An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems, with J. Zou, SIAM J. Control and Optimization 37 (1999), 892-910

  50. Numerical solutions of an optimal control problem governed by a Ginzburg-Landau model in superconductivity, with K.-H. Hoffmann, Numer. Funct. Anal. Optimiz. 19 (1998), 737-758

  51. Approximation of a two-phase continuous casting Stefan problems, with L. Jiang, J. Partial Differential Equations 11 (1998), 59-72

  52. Finite element methods and their convergence for elliptic and parabolic interface problems, with J. Zou, Numer. Math. 79 (1998), 175-202

  53. Justification of a two-dimensional evolutionary Ginzburg-Landau superconductivity model, with C.M. Elliott and Q. Tang, RAIRO Math. Model. Numer. Anal. 32 (1998), 25-50

  54. Global classical solutions to a non-isothermal dynamical Ginzburg-Landau model in superconductivity, with K.-H. Hoffmann, Numer. Funct. Anal. Optimiz. 18 (1997), 901-920

  55. On the Lawrence-Doniach model for layered superconductors, with K.-H. Hoffmann and L. Jiang, Euro. J. Appl. Math. 8 (1997), 369-387

  56. Mixed finite element methods for a dynamical Ginzburg-Landau model in superconductivity, Numer. Math. 76 (1997), 323-353

  57. Modelling and numerical solutions of a gauge periodic time dependent Ginzburg-Landau model for type-II superconductors, J. Comput. Math. 15 (1997) 365-384

  58. Optimal control of dynamical Ginzburg-Landau vortices in Superconductivity, with K.-H. Hoffmann, Numer. Funct. Anal. Optimiz. 17 (1996), 241-258

  59. Numerical Studies of a non-stationary Ginzburg-Landau model for superconductivity, with K.-H. Hoffmann, Adv. Math. Sci. Appl. 5 (1995), 363-389

  60. Asymptotic behaviors of Landau-Devonshire-Ginzburg model for structural phase transitions in shape memory alloys, with K.-H. Hoffmann, Adv. Math. Sci. Appl. 4 (1994), 209-226

  61. On a one-dimensional nonlinear thermoviscoelastic model for structural phase transitions in shape memory alloys, with K.-H. Hoffmann, J. Diff. Equations 112 (1994), 325-350

  62. On a non-stationary Ginzburg-Landau superconductivity model, with K.-H. Hoffmann and J. Liang, Math. Methods in Appl. Sci. 16 (1993), 855-875

  63. Optimal boundary controls for a phase field model, IMA J. Math. Contr. Inform. 10 (1993), 157-176

  64. An error estimate for a finite element scheme for a phase field model, with K.-H. Hoffmann, IMA J. Numer. Anal. 14 (1994), 243-255

  65. A full-discretization moving FEM with optimal convergence rate, with G.P. Liang, Chinese J. Num. Math. \& Appl. 12 (1990), 91-111

B. ARTICLES IN PROCEEDINGS OF SYMPOSIA AND CONFERENCES

  1. A Posteriori Error Analysis and Adaptive Finite Element Methods for Electromagnetic and Acoustic Problems , in Modeling and Computations in Electromagnetics: A Volume Dedicated to Jean-Claude Nedelec, Habib Ammari ed., Springer (2007), 39-65.

  2. A Posteriori Error Analysis and Adaptive Methods for Partial Differebtial Equations , in the Proceedings of International Congress of Mathematicians (Volume III), Madrid, Spain, August 22-30, 2006, M. Sanz-Sole et al eds., European Mathematical Society (2006), 1163-1180.

  3. Adaptive Computation with Perfectly Matched Layers for the Wave Scattering by Periodic Structures , with H.J. Wu, in the Proceedings of International Conference on High Performance Scientific Computing: Modeling, Simulation and Optimization of Complex Processes, Hanoi, March 2003, H.G.Bock et al eds., Springer (2005), 69-84.

  4. Upscaling of well singularities in the flow transport through heterogeneous porous media , with X.Y. Yue, in the Proceedings of Free Boundary Problems: Theory and Applications, Trento, June 2002, International Series of Numerical Mathematics 147, Birkh\"auser Verlag, Basel (2003), 87-101.

  5. A posteriori error analysis and adaptive methods for parabolic problems , in Recent Progress in Computational and Applied PDEs, T.F. Chan, Y. Huang, T. Tang, J. Xu and L.-A. Ying eds., Kluwer Academic Publishers (2002), 143-154.

  6. Recent advances of a posteriori error analysis and adaptive finite element methods , in the Proceedings of the Second International Congress of Chinese Mathematicians, Taipei, Taiwan, December 17-22, 2001, C-S Lin, L. Yang and S.T. Yau, eds., International Press (2004), 587-600.

  7. Numerical methods for two phase continuous casting problems, in Proceedings of Third China-Japan Seminar on Numerical Mathematics, Z. Shi and M. Mori, eds., Science Press, Beijing (1998), 11-17.

  8. Numerical simulations of dynamical Ginzburg-Landau vortices in superconductivity, with K.-H. Hoffmann, in Numerical Simulation in Science and Engineering, M. Griebel and C. Zenger, eds., Notes on Numerical Fluid Mechanics 48, Vieweg (1994), 31-38

  9. Numerical solutions of the optimal control problem governed by a phase field model, with K.-H. Hoffmann, in Control and Estimation of Distributed Parameter Systems, W. Desch, F. Kappel and K. Kunisch, eds., International Series of Numerical Mathematics 100, Birkh\"auser Verlag, Basel (1991), 79-97

  10. Numerical solutions of two phase continuous casting problem, in Numerical Methods for Free Boundary Problems, P. Neittaanm\"aki, eds., International Series of Numerical Mathematics 99, Birkh\"auser Verlag, Basel (1991), 103-121

C. MONOGRAPHS AND PRINTED LECTURE NOTES

  1. Selected Topics in Finite Element Methods, with Haijun Wu, Science Press, Beijing, 2010.

  2. Recent Advances in Adaptive Computation, Proceedings of the International Conference on Recent Advances in Adaptive Computation held in May 24-28, 2004 in Zhejiang University, Hanzhou (China), with Z.-C. Shi, T. Tang and D. Yu, eds., Contemporary Mathematics 383, American Mathematical Society, Providence, 2005.

  3. Das Phasenfeldmodell f\"ur das Problem der Phasen\"uberg\"ange: Analysis, Numerik und Steuerung, Doctoral Dissertation in Applied Mathematics, University of Augsburg, Germany, 1992.