Publications of Jun Zou in Refereed Journals

  1. (with Bangti Jin) Inversion of Robin coefficient by a spectral stochastic finite element approach.
    J. Comput. Physics 227 (2008), 3282--3306. (PDF file)
  2. (with Jingzhi Li and Hongyu Liu) Multilevel linear sampling method for inverse scattering problems.
    SIAM J. Sci. Comput. 30 (2008), 1228-1250. (PDF file)
  3. (with Hongyu Liu) Uniqueness in determining multiple polygonal scatterers of mixed type.
    Disc. Cont. Dynam. Sys., Series B 9 (2008), 375-396. (PDF file)
  4. (with Jingzhi Li) A multilevel model correction method for parameter identifications.
    Inverse Problems 23 (2007), 1759-1786. (PDF file)
  5. (with Qiya Hu) A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations.
    Math. Comput., 77 (2008), 1333-1353.
  6. (with Hongyu Liu) Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering.
    IMA J. Appl. Math. 72 (2007), 817-831. (PDF file)
  7. (with Yanping Lin and Kai Zhang) Studies on some perfectly matched layers for one-dimensional time-dependent systems.
    Adv. Comput. Math., accepted for publication.
  8. (with Jianguo Huang) Uniform a priori estimates for elliptic and static Maxwell interface problems.
    Disc. Cont. Dynam. Sys., Series B , 7 (2007), 145-170. (PDF file)
  9. (with Hongyu Liu) On unique determination of partially coated polyhedral scatterers with far field measurements.
    Inverse Problems 23 (2007), 297-308. (PDF file)
  10. (with Kit Hung Chan and Keke Zhang) Spherical interface dynamos: mathematical theory, finite element approximation, and application.
    SIAM J. Numer. Anal. 44 (2006), 1877-1902. (PDF file)
  11. (with Hongyu Liu) Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers.
    Inverse Problems 22 (2006), 515-524. (PDF file)
  12. (with R. Hiptmair and G. Widmer) Auxiliary space preconditioning in $H_0(curl;\Omega)$.
    Numerische Mathematik 103 (2006), 435-459. (PDF file)
  13. (with Qiya Hu) Nonlinear inexact Uzawa algorithms for linear and nonlinear saddle-point problems.
    SIAM J. Optimization 16 (2006) , 798-825. (PDF file)
  14. (with P. Ciarlet, Jr., B. Jung, S. Kaddouri and S. Labrunie) The Fourier singular complement method for the Poisson problem. Part II: axisymmtric domains.
    Numerische Mathematik 102 (2006), 583-610. (PDF file)
  15. (with Hongyu Liu) Some new additive Runge-Kutta methods and their applications.
    J. Comput. Appl. Math. 190 (2006), 74-98. (PDF file)
  16. (with P. Ciarlet, Jr., B. Jung, S. Kaddouri and S. Labrunie) The Fourier singular complement method for the Poisson problem. Part I: prismatic domains.
    Numerische Mathematik 101 (2005), 423-450. (PDF file)
  17. (with Jianli Xie) Numerical reconstruction of heat fluxes.
    SIAM J. Numer. Anal. 43 (2005), 1504-1535. (PDF file)
  18. (with P. Ciarlet, Jr. and E. Garcia) Solving Maxwell equations in 3D prismatic domains.
    Comptes Rendus Mathematique 339:10 (2004), 721-726. (PDF file)
  19. (with Qiya Hu) A nonoverlapping domain decomposition method for Maxwell's equations in three dimensions.
    SIAM J. Numer. Anal. 41 (2003), 1682-1708. (PDF file)
  20. (K.Chan, K.Zhang, X.Liao and G. Schubert) A three-dimensional spherical nonlinear interface dynamo.
    The Astrophysical Journal 596 (2003), 663-679. (PDF file)
  21. (with Patrick Ciarlet, Jr. and Jianguo Huang) Some observations on generalized saddle-point problems.
    SIAM J. Matrix Anal. Appl. 25 (2003), 224-236. (PDF file)
  22. (with Qiya Hu) Substructuring preconditioners for saddle-point problems arising from Maxwell's equations in three dimensions.
    Math. Comput. 73 (2004), 35-61. (PDF file)
  23. (with Eric T. Chung and Qiang Du) Convergence analysis of a finite volume method for Maxwell's equations in nonhomogeneous media.
    SIAM J. Numer. Anal. 41 (2003), 37-63. (PDF file)
  24. (with Benyu Guo) Fourier spectral projection method and nonlinear convergence analysis for Navier-Stokes equations.
    J. Math. Anal. Appl. 282 (2003), 766-791. (PDF file)
  25. (with Eric T. Chung) The eigenvalues and eigenspaces of some discrete div- and curl-related operators.
    SIAM J. Matrix Anal. Appl. 24 (2003), 1149-1160. (PDF file)
  26. (with Jianguo Huang) A mortar element method for elliptic problems with discontinuous coefficients.
    IMA J Numer. Anal. 22 (2002), 549-576. (PDF file)
  27. (with Qiya Hu) Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems.
    Numerische Mathematik 93 (2002), 333-359. (PDF file)
  28. (with Jianli Xie) An improved model function method for choosing regularization parameters in linear inverse problems.
    Inverse Problems 18 (2002), 631-643. (PDF file)
  29. (with Jianguo Huang) Construction of explicit extension operators on general finite element grids.
    Appl. Numer. Math. 43 (2002), 211-227. (PDF file)
  30. (with Xiao-Chuan Cai) Some observations on the L2 convergence of the additive Schwarz preconditioned GMRES method.
    Numer. Linear Algebra Appl. 9 (2002), 379-397. (PDF file)
  31. (with Jianguo Huang) Some new a priori estimates for second-order elliptic and parabolic interface problems.
    J. Differential Equations 184 (2002), 570-586. (PDF file)
  32. (with K. Chan, K.Zhang and G. Schubert) A nonlinear vacillating dynamo induced by an electrically heterogeneous mantle.
    Geophysics Research Letters 28 (2001), 4411-4414. (PDF file)
  33. (with K. Chan, K.Zhang and G. Schubert) A non-linear, 3-D spherical alpha-square dynamo using a finite element method.
    Physics of the Earth and Planetary Interiors 128 (2001), 35-50. (postscript file)
  34. (with Ben-yu Guo) An augmented Lagrangian method for parameter identifications in parabolic systems.
    J. Math. Anal. Appl. 263 (2001), 49-68. (PDF file)
  35. (with Qiya Hu) An iterative method with variable relaxation parameters for saddle-point problems.
    SIAM J. Matrix Anal. Appl. 23 (2001), 317-338. (PDF file)
  36. (with Eric T. Chung) A finite volume method for Maxwell's equations with discontinuous physical coefficients.
    Inter'l J. Appl. Math. 7 (2001), 201-223. (PDF file)
  37. (with Heinz W. Engl) A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction.
    Inverse Problems 16 (2000), 1907-1923. (PDF file)
  38. (with Z. Chen and Q. Du) Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients.
    SIAM J. Numer. Anal. 37 (2000), 1542-1570. (PDF file)
  39. (with Masahiro Yamamoto) Simultaneous reconstruction of the initial temperature and heat radiative coefficient.
    Inverse Problems 17 (2001), 1181-1202. (PDF file)
  40. (with Kazi Ito) Identification of some source densities of the distribution type.
    J. Comput. Appl. Math. 132 (2001), 295-308. (PDF file)
  41. (with Y.L. Keung) An efficient linear solver for nonlinear parameter identification problems.
    SIAM J. Sci. Comput. 22 (2000), 1511-1526. (PDF file)
  42. (with Chang-Pu Sun and Kenneth Young) Numerical algorithms for the determination of the potential of a conservative system from its normal mode spectra. (compressed postscript)
    Journal of Physics A-Mathematical and General 32 (1999), 3833-3849.
  43. (with P. Ciarlet) Fully discrete finite element approaches for time-dependent Maxwell's equations.
    Numerische Mathematik 82 (1999), 193-219. (PDF file)
  44. (with H.T. Banks) Regularity and approximation of systems arising in electromagnetic interrogation of dielectric material. (compressed postscript)
    Numer. Funct. Anal. Optim. 20: 7&8 (1999), 609-627.
  45. (with Z. Chen) An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems.
    SIAM J. Control Optim. 37 (1999), 892-910. (PDF file)
  46. (with K. Kunisch) Iterative choices of regularization parameters in linear inverse problems.
    Inverse Problems 14 (1998), 1247-1264. (PDF file)
  47. Numerical methods for elliptic inverse problems.
    Int. J. Comput. Math. 70 (1998), 211-232.
  48. (with Z. Li and D. Wang) Theoretical and numerical analysis on a thermo-elastic system with discontinuities. (compressed postscript)
    J. Comput. Appl. Math. 92 (1998), 37-58.
  49. (with J. Xu) Some nonoverlapping domain decomposition methods.
    SIAM Review 40 (1998), 857-914. (PDF file)
  50. (with X.-L. Cheng and H.-C. Huang) Quadrilateral finite elements for planar linear elasticity problem with large Lame constant. (compressed postscript)
    J. Comput. Math. 16:4 (1998), 357-366.
  51. (with Y.L. Keung) Numerical identifications of parameters in parabolic systems.
    Inverse Problems 14 (1998), 83-100. (PDF file)
  52. (with T. Chan and S. Go) Boundary treatments for multilevel methods on unstructured meshes.
    SIAM J. Sci. Comput. 21 (1999), 46-66. (PDF file)
  53. (with Z. Chen) Finite element methods and their convergence for elliptic and parabolic interface problems.
    Numerische Mathematik 79 (1998), 175-202. (PDF file)
  54. (with K.-H. Hoffmann) Finite element analysis on the Lawrence-Doniach model for layeblue superconductors. (compressed postscript)
    Numer. Funct. Anal. Optim. 18:5&6 (1997), 567-589.
  55. (with Hong-Ming Yin and BenQiang Li) A degenerate evolution system modeling bean's critical-state type-II superconductors. (compressed postscript)
    Discrete and Continuous Dynamical Systems, Series A 8 (2002), 781-794.
  56. (with P. Ciarlet) Finite element convergence for the Darwin model to Maxwell's equations. (compressed postscript)
    RAIRO Math. Modelling Numer. Anal. 31:2 (1997), 213-249.
  57. (with T.F. Chan) A convergence theory of multilevel additive Schwarz methods on unstructured meshes. (compressed postscript) .
    Numerical Algorithms 13 (1996), 365-398.
  58. (with T.F. Chan and B. Smith) Overlapping Schwarz methods on unstructublue meshes using non-matching coarse grids.
    Numerische Mathematik 73 (1996), 149-167. (PDF file)
  59. (with K.-H. Hoffmann) Parallel solution of variational inequality problems with nonlinear source terms.
    IMA J. Numer. Anal. 16:1(1996), 31-45.
  60. Finite element approximation for nonlinear systems describing multi-component phase transitions with dissipation.
    J. Intelligent Mat. Sys. Struct. 6:1 (1995), 38-48.
  61. (with K.-H. Hoffmann) Finite element approximations of Landau-Ginzburg's equation model for structural phase transitions in shape memory alloys. (compressed postscript)
    RAIRO Math. Modelling Numer. Anal. 29:6 (1995), 629-655.
  62. (with K.-H. Hoffmann) The existence and uniqueness of global solutions to a mathematical model for shape memory alloys.
    Advances in Math. Sci. and Appl. 5:2 (1995), 343-362.
  63. (with T.F. Chan) Additive Schwarz domain decomposition methods for elliptic problems on unstructublue meshes.
    Numerical Algorithms 8 (1994), 329-346.
  64. (with K.-H. Hoffmann) Parallel efficiency of domain decomposition methods.
    Parallel Computing 19 (1993), 1375-1391.
  65. (with K.-H. Hoffmann) Parallel algorithms of Schwarz variant for the variational inequalities.
    Numer. Funct. Anal. Optim. 13 (1992), 449-462.
  66. (with H.-C. Huang) Schwarz chaotic relaxation (S-COR) method and synchronous/asynchronous parallel algorithms.
    Math. Numer. Sinica 14(1992), 102-106.
  67. (with H.-C. Huang) Algebraic subproblem decomposition methods and parallel algorithms with monotone convergence.
    J. Comput. Math. 10 (1992), 47-59.
  68. (with H.-C. Huang) A posteriori error estimates for the h-p version of the finite element method for 1-D problem.
    Math. Numer. Sinica 12 (1990), 302-317.
  69. A class of nonlinear variational inequalities and their numerical approximations.
    Journal of Mathematics (China) 9 (1989), 33-42.
  70. A new fast solver-- monotone MG method (MMG).
    J. Comput. Math. 5 (1987), 325-335.

Publications of Jun Zou in Books & Refereed Proceedings

  1. (with M. Yamamoto) Stability and uniqueness in detremining a current source in quasistatic Maxwell equations, Electromagnetic Nondestructive Evaluation (VI), editors: F. Kojima, T. Takagi, S. Udpa and J. Pavo, IOS Press, Berlin/Tokyo, 2002, pp. 35-42.
  2. (with J. Cheng and M. Yamamoto) A priori strategy in discretization of the Tikhonov regularization, Progress in Analysis, editors: Heinrich G. Begehr, Robert P. Gilbert and Man W. Wong, World Scientific, London, 2003, pp. 1405-1412,
  3. A fictitious domain method for parabolic problems and its finite element approximation, Advances in Scientific Computing, editors: Z.-C. Shi, M. Mu, W.-M. Xue and J. Zou, Science Press, Beijing/New York, Dec 2001, pp. 236-243.
  4. (with T.F. Chan and S. Go ) Multilevel spectral partitioning of unstructured grids, Proceedings of the 11th International Conference on Domain Decomposition Methods, editors: C.-H. Lai, P. Bjorstad, M. Cross and O. Widlund. DDM Press, Greenwich, UK, 1998, pp. 190-196.
  5. (with Y.L. Keung) Finite element methods for solving parabolic inverse problems, High Performance Optimization Techniques, editors: H. Frenk, K. Roos., T. Terlaky and S. Zhang. Kluwer Academic Publishers, Netherland, 2000, pp. 367-381.
  6. (with Y. Seid) Identifying parameters in elliptic systems by finite element methods with multi-level initializing techniques, Recent Advances in Differential Equations, editors: P.L. Sachdev and H.-H. Dai. Addison Wesley Longman, Edinburgh, 1998, pp. 213-228. (compressed postscript) .
  7. (with Z. Chen) An efficient finite element method for interface problems, Scientific Computing, editors: G. Golub, S.H. Lui, F. Luk and R. Plemmons, Springer-Verlag, 1997, pp. 188-194.
  8. (with T.F. Chan and S. Go ) Multilevel domain decomposition and multigrid methods for unstructured meshes: algorithms and theory,
    in Domain Decomposition Methods in Science and Engineering, editors: R. Glowinski, J. Periaux, Z.-C. Shi and O. Widlund, John Wiley and Sons, 1997, pp. 159-176. (compressed postscript) .
  9. (with T.F. Chan and B. Smith) Multigrid and domain decomposition methods for unstructured meshes, Proceedings of the 3rd International Conference on Advances in Numerical Methods and Applications, editors: I. Dimor, Bl. Sendov, P. Vassilevski, World Scientific, Singapore, 1994, pp. 53-62.
  10. Finite element approximation to a nonlinear system describing multi-component phase transitions with dissipation, Proceedings of Second International Conference on Intelligent Materials, Virginia, USA, 1994, pp. 1348-1359.

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