Publications of Jun Zou in Refereed Journals
(See also Google Scholar; MathSciNet)

  1. (with Run Jiang, Yonglin Li and Haijun Wu)
    Finite element method for a nonlinear PML Helmholtz equation with high wave number.     
    SIAM J. Numer. Anal., accepted for publication.       (PDF file)
  2. (with Yat Tin Chow and Fuqun Han)
    A direct sampling method for simultaneously recovering electromagnetic inhomogeneous inclusions of different nature.     
    J. Comput. Phys., accepted for publication.       (PDF file)
  3. (with Dongling Wang)
    Mittag-Leffler stability of numerical solutions to time fractional ODEs.     
    Numerical Algorithms, accepted for publication.       (PDF file)
  4. (with Habib Ammari and Bowen Li)
    Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices.     
    Trans. Amer. Math. Soc., accepted for publication.       (PDF file)
  5. (with Xinlin Cao, Huaian Diao and Hongyu Liu)
    Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries.     
    Inverse Problems & Imaging, accepted for publication.       (PDF file)
  6. (with Zhiming Chen and Wenlong Zhang)
    Stochastic convergence of regularized solutions and their finite element approximations to inverse source problems.     
    SIAM J. Numer. Anal. 60 (2022), 751-780    .   (PDF file)
  7. (with Hanzhang Hu and Buyang Li)
    Optimal convergence of the Newton iterative Crank-Nicolson finite element method for the nonlinear Schrodinger equation.      
    Comput. Methods Appl. Math., accepted for publication    .   (PDF file)
  8. (with Hongjie Li and Hongyu Liu)
    Minnaert resonances for bubbles in soft elastic materials.      
    SIAM J. Appl. Math. 82 (2022), 119-141    .   (PDF file)
  9. (with Bangti Jin and Zehui Zhou)
    An analysis of stochastic variance reduced gradient for linear inverse problems.      
    Inverse Problems 38 (2022), 025009    .   (PDF file)
  10. (with De-Han Chen, Daijun Jiang and Irwin Yousept)
    Variational source conditions for inverse Robin and flux problems by partial measurements.      
    Inverse Problems & Imaging 16 (2022), 283-304    .   (PDF file)
  11. (with Yinnian He and Guo-Dong Zhang)
    Fully discrete finite element approximation of the MHD flow.      
    Comput. Methods Appl. Math. 22 (2022), 357-388    .   (PDF file)
  12. (with Bangti Jin and Zehui Zhou)
    On the saturation phenomenon of stochastic gradient descent for linear inverse problems.      
    SIAM/ASA J. Uncertainty Quantification 9 (2021), 1553-1588    .   (PDF file)
  13. (with Bowen Li)
    An adaptive edge element method and its convergence for an electromagnetic constrained optimal control problem.      
    ESAIM: Math. Model. Numer. Anal. (M2AN) 55 (2021), 2013-2044    .   (PDF file)
  14. (with Huoyuan Duan and Junhua Ma)
    Mixed finite element method with Gauss's law enforced for Maxwell eigenproblem.      
    SIAM J. Sci. Comput. 43 (2021), A3677-A3712    .   (PDF file)
  15. (with Yat Tin Chow and Fuqun Han)
    A direct sampling method for the inversion of the Radon transform.      
    SIAM J. Imaging Sci. 14 (2021), 1004-1038    .   (PDF file)
  16. (with Yat Tin Chow and Fuqun Han) A direct sampling method for simultaneously recovering inhomogeneous inclusions of different nature.  
    SIAM J. Sci. Comput. 43 (2021), A2161-A2189    .   (PDF file)
  17. (with I.B. Aicha, G.-H. Hu and M. Vashisth)
    Uniqueness for time-dependent inverse problems with single dynamical data.      
    J. Math. Anal. Appl. 497 (2021), 124910    .   (PDF file)
  18. (with Xinlin Cao, Huaian Diao and Hongyu Liu) On novel geometric structures of Laplacian eigenfunctions in R^3 and applications to inverse problems.  
    SIAM J. Math. Anal. 53 (2021), 1263-1294     .   (PDF file)
  19. (with Ying Liang, Hua Xiang and Shiyang Zhang) Preconditioners and their analyses
    for edge element saddle-point systems arising from time-harmonic Maxwell equations.      
    Numerical Algorithms 86 (2021), 281-302.   (PDF file)
  20. (with  Huaian Diao, Long Zhang and Hongyu Liu) Unique continuation from a generalized impedance edge-corner for Maxwell's system and applications to inverse problems.  
    Inverse Problems 37 (2021), 035004    .   (PDF file)
  21. (with Yifeng Xu and Irwin Yousept)
    An adaptive edge element approximation of a quasilinear H(curl)-elliptic problem.      
    Math. Models Methods Appl. Sci. (M3AS) 30 (2020), 2799-2826.       (PDF file)
  22. (with I.G. Graham and E.A. Spence) Domain decomposition with local impedance conditions for the Helmholtz equation with absorption.  
    SIAM J. Numer. Anal. 58 (2020), 2515-2543.       (PDF file)
  23. (with Xinlin Cao, Huaian Diao and Hongyu Liu) On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems.  
    J. Math. Pure. Appl. 143 (2020), 116-161.       (PDF file)
  24. (with Habib Ammari and Bowen Li)
    Superresolution in recovering embedded electromagnetic sources in high contrast media.      
    SIAM J. Imag. Sci. 13 (2020), 1467-1510.       (PDF file)
  25. (with Junqing Chen and Ying Liang)
    Mathematical and numerical study of a three-dimensional inverse eddy current problem.      
    SIAM J. Appl. Math.      80 (2020), 1467-1492.   (PDF file)
  26. (with De-Han Chen and Daijun Jiang) Convergence rates of Tikhonov regularizations for elliptic and parabolic inverse radiativity problems.  
    Inverse Problems 36 (2020), 075001    .   (PDF file)
  27. (with Malte Winckler and Irwin Yousept) Adaptive edge element approximation for H(curl) elliptic variational inequalities of second kind.  
    SIAM J. Numer. Anal.  58 (2020), 1941-1964    .   (PDF file)
  28. (with Habib Ammari and Bowen Li)
    Mathematical analysis of electromagnetic plasmonic metasurfaces.      
    SIAM Multiscale Model. Simul. 18 (2020), 758-797.   (PDF file)
  29. (with Bangti Jin and Zehui Zhou)
    On the convergence of stochastic gradient descent for nonlinear ill-posed problems.      
    SIAM J. Optimiz. 30 (2020), 1421-1450.   (PDF file)
  30. (with Dongling Wang and Aiguo Xiao)
    Long-time behavior of numerical solutions to nonlinear fractional ODEs.      
    ESAIM: Math. Model. Numer. Anal. (M2AN) 54 (2020), 335-358.   (PDF file)
  31. (with Dongling Wang) Dissipativity and contractivity analysis for fractional functional differential equations and their numerical approximations.  
    SIAM J. Numer. Anal. 57 (2019), 1445-470.   (PDF file)
  32. (with Guanghui Hu and Long Li) Unique determination of a penetrable scatterer of rectangular type for inverse Maxwell equations by a single incoming wave.  
    Inverse Problems 35 (2019), 035006.   (PDF file)
  33. (with Yat Tin Chow and Kazufumi Ito)
    A time-dependent direct sampling method for recovering moving potentials in a heat equation.
    SIAM J. Sci. Comput. 40 (2018), A2720-A2748.   (PDF file)
  34. (with De-Han Chen and Bernd Hofmann) Regularization and convergence for ill-posed backward evolution equations in Banach spaces.  
    Journal of Differential Equations  265 (2018), 3533-3566.    (PDF file)
  35. (with Daijun Jiang and Hui Feng) Quadratic convergence of Levenberg-Marquardt method for elliptic and parabolic inverse Robin problems.  
    ESAIM: Math. Model. Numer. Anal. (M2AN)  52 (2018), 1085-1107.    (PDF file)
  36. (wth Haijun Wu) Finite element method and its analysis for a nonlinear Helmholtz equation with high wave numbers.  
    SIAM J. Numer. Anal.  56 (2018),  1338-1359.   (PDF file)
  37. (with Yinnian He) A priori estimates and optimal finite element approximation of the MHD flow in smooth domains.  
    ESAIM: Math. Model. Numer. Anal. (M2AN) 52 (2018), 181-206.    (PDF file)
  38. (with Habib Ammari and Yat Tin Chow) Super-resolution in imaging high contrast targets from the perspective of scattering coefficients.    
    J. Math. Pure. Appl. 111 (2018), 191-226.    (PDF file)
  39. (with Irwin Yousept) Edge element method for optimal control of stationary Maxwell system with Gauss Law.  
    SIAM J. Numer. Anal. 55 (2017), 2787-2810.    (PDF file)
  40. (with Na Huang and Chang-Feng Ma) Analysis on block diagonal and triangular preconditioners for a PML system of an electromagnetic scattering problem.  
    Comput. Math. Appl. 74 (2017), 2856-2873.    (PDF file)
  41. (with Bangti Jin and Yifeng Xu) A convergent adaptive finite element method for electrical impedance tomography. 
    IMA J. Numer. Anal. 37 (2017), 1520-1550.    (PDF file)
  42. (with De-Han Chen and Bernd Hofmann) Elastic-net regularization versus l1-regularization for linear inverse problems with quasi-sparse solutions. 
    Inverse Problems 33 (2017), 015004 (17pp).    (PDF file)
  43. (with Yifeng Xu) A convergent adaptive edge element method for an optimal control problem in magnetostatics.  
    ESAIM: Math. Model. Numer. Anal. (M2AN) 51 (2017), 615-640.   (PDF file)

  44. (with Habib Ammari and Yat Tin Chow) Phased and phaseless domain reconstructions in the inverse scattering problem via scattering coefficients. 
    SIAM J. Appl. Math. 76 (2016), 1000-1030.   (PDF file)

  45. (with Yat Tin Chow and Kazufumi Ito) Analysis on a nonnegative matrix factorization and its applications.  
    SIAM J. Sci. Comput. 38 (2016), B645-B684.   (PDF file)

  46. (with Habib Ammari and De-Han Chen)  Well-posedness of an electric interface model and its finite element approximation.  
    Math. Models Meth. Appl. Sci. (M3AS)     26 (2016), 601-625.  (PDF file)

  47. (with Xiao-Chuan Cai and Xiaomao Deng)  Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems.
    J. Sci. Comput.     67(2016), 860-882.      (PDF file). 

  48. (with Hua Xiang) Randomized algorithms for large-scale inverse problems with general Tikhonov regularizations.     
    Inverse Problems     31 (2015),  085008.   (PDF file)

  49. (with Yat Tin Chow, Kazufumi Ito and Keji Liu) Direct sampling method for diffusive optical tomography.  
    SIAM J. Sci. Comput.     37 (2015), A1658-A1684. (PDF file) 
  50. (with Xiaomao Deng and Xiao-Chuan Cai) A parallel space-time domain decomposition method for unsteady source inversion problems.
    Inverse Problems and Imaging  9 (2015), 1069-1091. (PDF file)
  51. (with Qiya Hu, Chunmei Liu and Shi Shu) An effective preconditioner for a PML system for electromagnetic scattering problem.  
    ESAIM: Math. Model. Numer. Anal. 49 (2015),  839-854. (PDF file)
  52. (with Yifeng Xu) Analysis of an adaptive finite element method for recovering the Robin coefficient.
    SIAM J. Control Optimiz. 53 (2015),  622-644. (PDF file)
  53. (with Yat Tin Chow) A numerical method for reconstructing the coefficient in a wave equation.
    Numer. Methods PDEs  31 (2015), 289-307. (PDF file)
  54. (with Hui Feng and Daijun Jiang) Overlapping domain decomposition methods for linear inverse problems.
    Inverse Problems and Imaging  9 (2015), 163-188. (PDF file)
  55. (with Habib Ammari, Yat Tin Chow and Keji Liu) Optimal shape design by partial spectral data.  
    SIAM J. Sci. Comput. 37 (2015), B855-B883.   (PDF file)
  56. (with Yifeng Xu) Convergence of an adaptive finite element method for distributed flux reconstruction.
    Math. Comput.  84 (2015),  2645-2663. (PDF file)
  57. (with Guoping Liang, Feng Shi and Yubo Zhao) New splitting methods for convection-dominated diffusion problems and Navier-Stokes equations.
    Comm. Comput. Phys.  16 (2014),  1239-1262.   (PDF file)

  58. (with Patrick Ciarlet, Jr. and Haijun Wu) Edge element methods for Maxwell's equations with strong convergence for Gauss' laws.
    SIAM J. Numer. Anal. 52 (2014), 779-807. (PDF file)
  59. (with Keji Liu and Yongzhi Xu) Imaging wave-penetrable objects in a finite depth ocean.
    Appl. Math. Comput. 235 (2014), 364-376. (PDF file)

  60. (with Yat Tin Chow and Kazufumi Ito)  A direct sampling method for electrical impedance tomography.    
    Inverse Problems 30 (2014), 095003 (25pp). (PDF file)

  61. (with Habib Ammari and Yat Tin Chow) The concept of heterogeneous scattering coefficients and its application in inverse medium scattering.  
    SIAM J. Math. Anal.         46 (2014), 2905-2935. (PDF file)
  62. (with K. H. Chan, Y. He and K. Zhang) A finite element analysis on fluid motion in librating triaxial ellipsoids.  
    Numer. Methods PDEs      30 (2014), 1518-1537. (PDF file)
  63. (with G. Bao and H. Liu) Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers.
    J. Math. Pure. Appl. 101 (2014), 716-733. (PDF file)
  64. (with G. Bao and H. Zhang) Unique determination of periodic polyhedral structures by scattered electromagnetic fields II: the resonance case.
    Trans. Amer. Math. Soc. 366 (2014), 1333-1361. (PDF file)

  65. (with Jingzhi Li and Hongyu Liu) Locating multiple multiscale acoustic scatterers.  
    SIAM Multiscale Model. Simul. 12 (2014), 927-952. (PDF file) 

  66. (with Guihua Long and Yubo Zhao) A temporal fourth-order scheme for the first-order acoustic wave equations.
    Geophys. J. Int. 194 (2013), 1473-1485. (PDF file)
  67. (with Kazufumi Ito and Bangti Jin) A direct sampling method for inverse electromagnetic medium scattering.
    Inverse Problems 29 (2013) 095018 (19pp). (PDF file)
  68. (with Qiya Hu and Shi Shu) A discrete weighted Helmholtz decomposition and its application.
    Numerische Mathematik 125 (2013), 153-189. (PDF file)
  69. (with Hua Xiang) Regularization with randomized SVD for large-scale discrete inverse problems.
    Inverse Problems 29 (2013) 085008 (23pp). (PDF file)
  70. (with Jingzhi Li) A direct sampling method for inverse scattering using far-field data.
    Inverse Problems and Imaging 7 (2013), 757-775. (PDF file)
  71. (with Keji Liu) A multilevel sampling algorithm for locating inhomogeneous media.
    Inverse Problems 29 (2013) 095003 (19pp). (PDF file)
  72. (with Kazufumi Ito and Bangti Jin) A two-stage method for inverse medium scattering.
    J. Comput. Phys. 237 (2013), 211-223. (PDF file)
  73. (with Jingzhi Li, Hongyu Liu and Hongpeng Sun) Imaging acoustic obstacles by singular and hypersingular point sources.
    Inverse Problems and Imaging 7 (2013), 545-563. (PDF file)
  74. (with Keji Liu and Yongzhi Xu) A parallel radial bisection algorithm for inverse scattering problems.
    Inv. Prob. Sci. & Engr. 21 (2013), 197-209. (PDF file)
  75. (with Xiaomao Deng and Yubo Zhao) On linear finite elements for simultaneously recovering source location and intensity.
    Int. J. Numer. Anal. Modeling 10 (2013), 588-602. (PDF file)
  76. (with Hongyu Liu, Zaijiu Shang and Hongpeng Sun) Singular perturbation of reduced wave equation and scattering from an embedded obstacle.
    J. Dynam. Diff. Eqns. 24 (2012), 803-821. (PDF file)
  77. (with Ralf Hiptmair and Jingzhi Li) Convergence analysis of finite element methods for H(curl; Omega))-elliptic interface problems.
    Numerische Mathematik 122 (2012), 557-578. (PDF file)
  78. (with Kazufumi Ito and Bangti Jin) A direct sampling method to an inverse medium scattering problem.
    Inverse Problems 28 (2012) 025003 (11pp). (PDF file)
  79. (with Ralf Hiptmair and Jingzhi Li) Universal Extension for Sobolev Spaces of Differential Forms and Applications.
    Journal of Functional Analysis 263 (2012), 364-382. (PDF file)
  80. (with Hui Feng and Daijun Jiang) Convergence rates of Tikhonov regularizations for parameter identification in a parabolic-elliptic system.
    Inverse Problems 28 (2012) 104002 (20pp). (PDF file)
  81. (with Jingzhi Li, Hongyu Liu and Hongpeng Sun) Reconstructing acoustic obstacles by planar and cylindrical waves.
    J. Math. Phys. 53 (2012) 103705. (PDF file)
  82. (with Bangti Jin and Yubo Zhao) Iterative parameter choice by discrepancy principle.
    IMA J Numer Anal 32 (2012), 1714-1732. (PDF file)
  83. (with Junqing Chen and Yifeng Xu) An adaptive edge element method and its convergence for a saddle-point problem from magnetostatics.
    Numer Methods PDEs 28 (2012), 1643-1666. (PDF file)
  84. (with Ralf Hiptmair and Jingzhi Li) Real interpolation of spaces of differential forms.
    Mathematische Zeitschrift 270 (2012), 395-402. (PDF file)
  85. (with Philippe G. Ciarlet, Patrick Ciarlet, Jr., Oana Iosifescu and Stefan Sauter) Lagrange multiplier in intrinsic elasticity.
    Math. Models Methods Appl. Sci. (M3AS)  21 (2011), 651-666. (PDF file)
  86. (with Jingzhi Li, Jianli Xie and Jun Zou) An adaptive finite element reconstruction of distributed fluxes.
    Inverse Problems 27 (2011) 075009 (25pp) (PDF file)
  87. (with Kazufumi Ito and Bangti Jin) A new choice rule for regularization parameters in Tikhonov regularization.
    Appl. Anal. 90 (2011), 1521-1544. (PDF file)
  88. (with Bangti Jin) Hierarchical Bayesian inference for ill-posed problems via variational method.
    J. Comput. Phys. 229 (2010), 7317-7343. (PDF file)
  89. (with Hui Feng and Daijun Jiang) Simultaneous identification of electric permittivity and magnetic permeability.
    Inverse Problems 26 (2010) 095009 (20pp) (PDF file)
  90. (with Ralf Hiptmair and Jingzhi Li) Convergence analysis of finite element methods for H(div; Omega)-elliptic interface problems.
    J. Numer. Math. 18 (2010), 187-218. (PDF file)
  91. (with Gang Bao and Hai Zhang) Unique determination of periodic polyhedral structures by scattered electromagnetic fields.
    Trans. Amer. Math. Soc. 363 (2011), 4527-4551. (PDF file)
  92. (with Junqing Chen and Yifeng Xu) An adaptive inverse iteration for Maxwell eigenvalue problem based on edge elements.
    J. Comput. Phys. 229 (2010), 2649-2658. (PDF file)
  93. (with Jingzhi Li and Hongyu Liu) Strengthened linear sampling method with a reference ball.
    SIAM J. Sci. Comput. 31 (2009), 4013-4040. (PDF file)
  94. (with Hongyu Liu and Hai Zhang) Recovery of polyhedral scatterers by a single electromagnetic far-field measurement.
    J. Math. Phys. 50 (2009) 123506. (PDF file)
  95. (with Bangti Jin) Numerical estimation of the Robin coefficient in a stationary diffusion equation.
    IMA J. Numer. Anal. 30 (2010), 677-701. (PDF file)
  96. (with Jingzhi Li, Jens Markus Melenk and Barbara Wohlmuth) Optimal a priori estimates for higher order finite elements for elliptic interface problems.
    Appl. Numer. Math. 60 (2010), 19-37. (PDF file)
  97. (with Lijuan Wang) Error estimates of finite element methods for parameter identifications in elliptic and parabolic systems.
    Disc. Cont. Dyn. Sys. - Series B 14 (2010), 1641-1670. (PDF file)
  98. (with Bangti Jin) Numerical estimation of piecewise constant Robin coefficient.
    SIAM J. Control Optim. 48 (2009), 1977-2002. (PDF file)
  99. (with Xiao-Chuan Cai and Si Liu) Parallel overlapping domain decomposition methods for coupled inverse elliptic problems.
    Comm. Appl. Math. Comput. Sci. 4 (2009), 1-26. (PDF file)
  100. (with Junqing Chen and Yifeng Xu) Convergence analysis of an adaptive edge element method for Maxwell's equations.
    Appl. Numer. Math. 59 (2009), 2950-2969. (PDF file)
  101. (with Bangti Jin) Augmented Tikhonov regularization.
    Inverse Problems 25 (2009), 025001. (PDF file)
  102. (with Jingzhi Li and Masahiro Yamamoto) Conditional stability and numerical reconstruction of initial temperature.
    Comm. Pure. Appl. Anal. 8 (2009), 361-382. (PDF file)
  103. (with Bangti Jin) A Bayesian inference approach to the ill-posed Cauchy problem of steady-state heat conduction.
    Int. J. Numer. Meth. Engr. 76 (2008), 521-544. (PDF file)
  104. (with Bangti Jin) Inversion of Robin coefficient by a spectral stochastic finite element approach.
    J. Comput. Phys. 227 (2008), 3282--3306. (PDF file)
  105. (with Jingzhi Li and Hongyu Liu) Multilevel linear sampling method for inverse scattering problems.
    SIAM J. Sci. Comput. 30 (2008), 1228-1250. (PDF file)
  106. (with Hongyu Liu) Uniqueness in determining multiple polygonal scatterers of mixed type.
    Disc. Cont. Dynam. Sys., Series B 9 (2008), 375-396. (PDF file)
  107. (with Qiya Hu and Shi Shu) A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations.
    Math. Comput. 77 (2008), 1333-1353. (PDF file)
  108. (with Jingzhi Li) A multilevel model correction method for parameter identification.
    Inverse Problems 23 (2007), 1759-1786. (PDF file)
  109. (with Hongyu Liu and Masahiro Yamamoto) Reflection principle for the Maxwell equations and its application to inverse electromagnetic scattering.
    Inverse Problems 23 (2007), 2357-2366. (PDF file)
  110. (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)
  111. (with Yanping Lin and Kai Zhang) Studies on some perfectly matched layers for one-dimensional time-dependent systems.
    Adv. Comput. Math. 30 (2009), 1-35. (PDF file)
  112. (with Hongyu Liu and Masahiro Yamamoto) New reflection principles for Maxwell's equations and their applications.
    Numer. Math.-Theo. Meth. Appl. 2 (2009), 1-17. (PDF file)
  113. (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)
  114. (with Hongyu Liu) On unique determination of partially coated polyhedral scatterers with far field measurements.
    Inverse Problems 23 (2007), 297-308. (PDF file)
  115. (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)
  116. (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)
  117. (with R. Hiptmair and G. Widmer) Auxiliary space preconditioning in $H_0(curl;\Omega)$.
    Numerische Mathematik 103 (2006), 435-459. (PDF file)
  118. (with Qiya Hu) Nonlinear inexact Uzawa algorithms for linear and nonlinear saddle-point problems.
    SIAM J. Optimization 16 (2006) , 798-825. (PDF file)
  119. (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)
  120. (with Hongyu Liu) Some new additive Runge-Kutta methods and their applications.
    J. Comput. Appl. Math. 190 (2006), 74-98. (PDF file)
  121. (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)
  122. (with Jianli Xie) Numerical reconstruction of heat fluxes.
    SIAM J. Numer. Anal. 43 (2005), 1504-1535. (PDF file)
  123. (with P. Ciarlet, Jr. and E. Garcia) Solving Maxwell equations in 3D prismatic domains.
    Comptes Rendus Mathematique 339:10 (2004), 721-726. (PDF file)
  124. (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)
  125. (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)
  126. (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)
  127. (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)
  128. (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)
  129. (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)
  130. (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)
  131. (with Jianguo Huang) A mortar element method for elliptic problems with discontinuous coefficients.
    IMA J Numer. Anal. 22 (2002), 549-576. (PDF file)
  132. (with Qiya Hu) Two new variants of nonlinear inexact Uzawa algorithms for saddle-point problems.
    Numerische Mathematik 93 (2002), 333-359. (PDF file)
  133. (with Jianli Xie) An improved model function method for choosing regularization parameters in linear inverse problems.
    Inverse Problems 18 (2002), 631-643. (PDF file)
  134. (with Jianguo Huang) Construction of explicit extension operators on general finite element grids.
    Appl. Numer. Math. 43 (2002), 211-227. (PDF file)
  135. (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)
  136. (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)
  137. (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)
  138. (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)
  139. (with Ben-yu Guo) An augmented Lagrangian method for parameter identifications in parabolic systems.
    J. Math. Anal. Appl. 263 (2001), 49-68. (PDF file)
  140. (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)
  141. (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)
  142. (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)
  143. (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)
  144. (with Masahiro Yamamoto) Simultaneous reconstruction of the initial temperature and heat radiative coefficient.
    Inverse Problems 17 (2001), 1181-1202. (PDF file)
  145. (with Kazi Ito) Identification of some source densities of the distribution type.
    J. Comput. Appl. Math. 132 (2001), 295-308. (PDF file)
  146. (with Y.L. Keung) An efficient linear solver for nonlinear parameter identification problems.
    SIAM J. Sci. Comput. 22 (2000), 1511-1526. (PDF file)
  147. (with Chang-Pu Sun and Kenneth Young) Numerical algorithms for the determination of the potential of a conservative system from its normal mode spectra.
    Journal of Physics A-Mathematical and General 32 (1999), 3833-3849.   (postscript)
  148. (with P. Ciarlet) Fully discrete finite element approaches for time-dependent Maxwell's equations.
    Numerische Mathematik 82 (1999), 193-219. (PDF file)
  149. (with H.T. Banks) Regularity and approximation of systems arising in electromagnetic interrogation of dielectric material.
    Numer. Funct. Anal. Optim. 20: 7&8 (1999), 609-627.  (compressed postscript)
  150. (with Z. Chen) An augmented Lagrangian method for identifying discontinuous parameters in elliptic systems.
    SIAM J. Control Optim. 37 (1999), 892-910. (PDF file)
  151. (with K. Kunisch) Iterative choices of regularization parameters in linear inverse problems.
    Inverse Problems 14 (1998), 1247-1264. (PDF file)
  152. Numerical methods for elliptic inverse problems.
    Int. J. Comput. Math. 70 (1998), 211-232.
  153. (with Z. Li and D. Wang) Theoretical and numerical analysis on a thermo-elastic system with discontinuities.  
    J. Comput. Appl. Math. 92 (1998), 37-58.   (compressed postscript)
  154. (with J. Xu) Some nonoverlapping domain decomposition methods.
    SIAM Review 40 (1998), 857-914. (PDF file)
  155. (with X.-L. Cheng and H.-C. Huang) Quadrilateral finite elements for planar linear elasticity problem with large Lame constant. 
    J. Comput. Math. 16:4 (1998), 357-366.   (compressed postscript)
  156. (with Y.L. Keung) Numerical identifications of parameters in parabolic systems.
    Inverse Problems 14 (1998), 83-100. (PDF file)
  157. (with T. Chan and S. Go) Boundary treatments for multilevel methods on unstructured meshes.
    SIAM J. Sci. Comput. 21 (1999), 46-66. (PDF file)
  158. (with Z. Chen) Finite element methods and their convergence for elliptic and parabolic interface problems.
    Numerische Mathematik 79 (1998), 175-202. (PDF file)
  159. (with K.-H. Hoffmann) Finite element analysis on the Lawrence-Doniach model for layeblue superconductors.
    Numer. Funct. Anal. Optim. 18:5&6 (1997), 567-589.   (compressed postscript)
  160. (with Hong-Ming Yin and BenQiang Li) A degenerate evolution system modeling bean's critical-state type-II superconductors.  
    Discrete and Continuous Dynamical Systems, Series A 8 (2002), 781-794.  (postscript)
  161. (with P. Ciarlet) Finite element convergence for the Darwin model to Maxwell's equations.
    RAIRO Math. Modelling Numer. Anal. 31 (1997), 213-249.   (postscript)
  162. (with T.F. Chan) A convergence theory of multilevel additive Schwarz methods on unstructured meshes.
    Numerical Algorithms 13 (1996), 365-398.  (compressed postscript) 
  163. (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)
  164. (with K.-H. Hoffmann) Parallel solution of variational inequality problems with nonlinear source terms.
    IMA J. Numer. Anal. 16:1(1996), 31-45.
  165. Finite element approximation for nonlinear systems describing multi-component phase transitions with dissipation.
    J. Intelligent Mat. Sys. Struct. 6:1 (1995), 38-48.
  166. (with K.-H. Hoffmann) Finite-element approximations of Landau-Ginzburgs equation model for structural phase-transitions in shape-memory alloys.  
    RAIRO Math. Modelling Numer. Anal. 29:6 (1995), 629-655.   (compressed postscript)
  167. (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.
  168. (with T.F. Chan) Additive Schwarz domain decomposition methods for elliptic problems on unstructublue meshes.
    Numerical Algorithms 8 (1994), 329-346.
  169. (with K.-H. Hoffmann) Parallel efficiency of domain decomposition methods.
    Parallel Computing 19 (1993), 1375-1391.
  170. (with K.-H. Hoffmann) Parallel algorithms of Schwarz variant for the variational inequalities.
    Numer. Funct. Anal. Optim. 13 (1992), 449-462.
  171. (with H.-C. Huang) Schwarz chaotic relaxation (S-COR) method and synchronous/asynchronous parallel algorithms.
    Math. Numer. Sinica 14(1992), 102-106.
  172. (with H.-C. Huang) Algebraic subproblem decomposition methods and parallel algorithms with monotone convergence.
    J. Comput. Math. 10 (1992), 47-59.
  173. (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.
  174. A class of nonlinear variational inequalities and their numerical approximations.
    Journal of Mathematics (China) 9 (1989), 33-42.
  175. A new fast solver-- monotone MG method (MMG).
    J. Comput. Math. 5 (1987), 325-335.

    176.
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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