Curriculum Vitae

Zhiming Chen, Professor
Institute of Computational Mathematics
Academy of Mathematics and Systems Science
Chinese Academy of Sciences
Beijing 100190, PR China

RESEARCH INTERESTS

Numerical analysis and scientific computing: Finite element methods; adaptivity and a posteriori error analysis; nonlinear PDEs; numerical homogenization.

Applications: phase transitions (shape memory alloys, superconductivity, continuous casting problem); electromangetic waves; flow transport in heterogeneous porous media.

EDUCATION

UNDERGRADUATE
B.Sc. Department of Mathematics, Nanjing University, Nanjing (China), July 1986
GRADUATE
M.Sc. Institute of Mathematics, Chinese Academy of Sciences, Beijing (China), July 1989
Thesis supervisor: Professor Guo-Ping Liang
Ph.D. STUDY
Ph.D. Institute of Mathematics, University of Augsburg, Augsburg (Germany), February 1992
Thesis supervisor: Professor Dr. Karl-Heinz Hoffmann

PREFESSIONAL EXPERIENCE

Institute of Computational Mathematics, Chinese Academy of Sciences, Full Professor, March 2000-present

Institute of Mathematics, Chinese Academy of Sciences, Full Professor, October 1997-February 2000

Institute of Mathematics, Chinese Academy of Sciences, Associate Professor, June 1995-September 1997

Institute of Mathematics, Chinese Academy of Sciences, Assistant Professor, June 1994-May 1995

Munich University of Technology, Munich (Germany), Scientific Research Fellow, March 1992-May 1994.

VISITING POSITIONS

Institute for Mathematics and its Applications: Program on ``Mathematics of Materials and Macromolecules: Multiple Scales, Disorder, and Singularities'',
University of Minnesota, Minneapolis (US), November 1 - 30, 2004

Isaac Newton Institute for Mathematical Sciences: Program on Computational Challenges in Partial Differential Equation, Cambridge (UK), March 30 - May 10, 2003

California Institute of Technology, Pasadena (USA), March 1999-February 2000

Hong Kong University of Science and Technology, Hong Kong, May-June 1998

University of Maryland, College Park (USA), February 1998

Chinese University of Hong Kong, Hong Kong, November 1996-January 1997

Munich University of Technology, Munich (Germany), June-July 1996

Chinese University of Hong Kong, Hong Kong, May 1996

The Hong Kong Polytechnic University, Hong Kong, March-April 1996

PRIZES AND HONORS

K.C. Wong Science Research Prize, Chinese Academy of Sciences (1994)

NSFC Outstanding Young Scientist Grant (2000)

Feng Kang Scientific Computing Prize (2001)

Invited Speaker, International Congress of Mathematicians, Madrid, Spain (2006)

The Second National Natural Science Prize (2009)

Shiing S. Chern Mathematics Award (2015)

Academician, Chinese Academy of Sciences (2017)

GRANTS

China NSF, Principal Investigator, Subject: Phenomenological Superconductivity Models and Adaptive Computations, January 1995-December 1997 (Grant No. 19401032)

China National Key Project "Large Scale Scientific and Engineering Computing", Principal Investigator, Subject: Numerical Solutions of Free Boundary Problems" January 1997-December 1999

China NSF, Principal Investigator, Subject: Numerical Methods for nonlinear PDEs, January 1998-December 2000 (Grant No. 19701080)

China National Key Project "Large Scale Scientific Computing Research", Subproject Leader, Subject: Basic Research in Computational Method, October 1999-September 2004

China NSF Outstanding Young Scientist Grant, Principal Investigator, Subject: Scientific Computing Research on some Problems from High Technology, January 2001-December 2004 (Grant No. 10025102)

China NSF Outstanding Oversea Young Scientist Grant, Co-Principal Investigator with Bao Gang, Subject: Computational Mathematics and Scientific Engineering Computing, January 2005-December 2007 (Grant No. 10428105)

China National Basic Research Project (973 Project), Chief Scientist, Subject: High Performance Scientific Computing Research, December 2005-November 2010 (Grant No. 2005CB321700)

China NSF Innovation Group Grant, Principal Investigator, Subject: The Methods and Applications of Scientific and Engineering Computing, January 2011-December 2013 (Grant No. 11021101)

China National Basic Research Project (973 Project), Chief Scientist, Subject: The Novel Computational Model for Petascale Scientific Computation, January 2011- December 2015 (Grant No. 2011CB309700)

China NSF Innovation Group Grant, Principal Investigator, Subject: The Methods and Applications of Scientific and Engineering Computing, January 2014-December 2016 (Grant No. 11321061)

 China NSF Key Project, Principal Investigator, Subject: Novel Computational Methods and Theoretical Analysis for Large Scale Electromagnetic Problems in Complex Environment, January 2019-December 2023 (Grant No. 11831016)

 China National Key Technologies R&D Program, Investigator, Subject: Novel Computational Methods and Mathematical Theory in the Design of Integrated Circuits, June 2020-May 2025 (Grant No. 2019YFA0709602)

PUBLICATIONS

A. ARTICLES PUBLISHED OR ACCEPTED FOR PUBLICATION IN RESEARCH JOURNALS

  1. Stochastic Convergence of Regularized Solutions and Their Finite Element Approximations to Inverse Source Problems, with W. Zhang and J. Zou, SIAM J. Numer. Anal. (2022), to appear.

  2. An Adaptive High-order Unfitted Finite Element Method for Elliptic Interface Problems, with K. Li and X. Xiang, Numer. Math. 149 (2021), 507-548.

  3. A Balanced Oversampling Finite Element Method for Elliptic Problems with Observational Boundary Data, with R. Tuo and W. Zhang, J. Comput. Math. 38 (2020), 355-374.

  4. A Direct Imaging Method for Half-space Inverse Elastic Scattering Problems, with S. Zhou, Inverse Problems 35 (2019), 075004 (33pp)

  5. Stochastic Convergence of A Nonconforming Finite Element Method for the Thin Plate Spline Smoother for Observational Data, with R. Tuo and W. Zhang, SIAM J. Numer. Anal. 56 (2018), 635-659.

  6. PML Method for Electromagnetic Scattering Problem in a Two-layer Medium, with W. Zheng, SIAM J. Numer. Anal. 55 (2017), 2050-2084.

  7. A Direct Imaging Method for the Half-space Inverse Scattering Problems with Phaseless Data, with S. Fang and G. Huang, Inverse Problems and Imaging 11 (2017), 901-916,

  8. A Source Transfer Domain Decomposition Method for Time-harmonic Elastic Wave Equations, with T. Cui and X. Xiang, Scientia Sinica Informatics 46 (2016), 1359-1371. (in Chinese)

  9. Phaseless Imaging by Reverse Time Migration: Acoustic Waves, with G. Huang, Numer. Math. Theor. Meth. Appl., 10 (2017), 1-21.

  10. A Direct Imaging Method for Electromagnetic Scattering Data without Phase Information, with G. Huang, SIAM J. Imaging Sciences, 9 (2016), 1273-1297.

  11. Convergence of the PML Method for Elastic Wave Scattering Problems, with X. Xiang and X. Zhang, Math. Comp., 85 (2016), 2687-2714.

  12. 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.

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

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

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

  16. 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.

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

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

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

  20. 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.

  21. 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.

  22. 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.

  23. 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.

  24. 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.

  25. 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.

  26. 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.

  27. 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.

  28. 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.

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

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

  31. 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.

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

  33. 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.

  34. 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.

  35. 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.

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

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

  38. 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.

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

  40. 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.

  41. 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.

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

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

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

  45. 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.

  46. 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.

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

  48. 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.

  49. 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.

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

  51. 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.

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

  53. 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

  54. 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

  55. 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

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

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

  58. 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

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

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

  61. 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

  62. 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

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

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

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

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

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

  68. 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

  69. 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

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

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

  72. 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

  73. 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.

EDITORIAL ACTIVITIES

Member of the editorial board of Journal of Computational Mathematics , Associate Editor, May 2000-June 2014

Member of the editorial board of Acta Mathematicae Applicatae Sinica (in Chinese) , January 2002-present

Member of the editorial board of Sciences on China (Series A) , January 2003-present

Member of the editorial board of Discrete and Continuous Dynamical Systems-B , November 2003-December 2007

Member of the editorial board of International Journal of Numerical Analysis and Modeling , January 2004-present

Member of the editorial board of Journal of Information & Computational Science , September 2004-present

Member of the editorial board of European Journal of Applied Mathematics , January 2005-present

Member of the editorial board of Communications in Mathematical Sciences , January 2005-December 2006

Member of the editorial board of SIAM Journal on Numerical Analysis , January 2005-present

Member of the editorial board of Mathematics of Computation , February 2007-January 2018

Member of the editorial board of Chinese Journal of Engineering Mathematics (in Chinese) , August 2007-present

Editor in Chief of Numerical Mathematics: Theory, Methods and Applications , January 2008-December 2016

Editor-in-Chief of Journal of Computational Mathematics , July 2014-present

Member of the editorial board of Numerische Mathematik , June 2016-present

MEMBERSHIP

Member of the Society for Industrial and Applied Mathematics (USA) January 1995-present

Member of the Standing Committee of China Society of Computational Mathematics, November 1998-July 2019

Vice president of China Society of Computational Mathematics, November 2006-July 2019

Vice president of Chinese Mathematical Society, January 2008-December 2012

Vice president of China Society for Industrial and Applied Mathematics, September 2008-August 2016

ACADEMIC ADMINISTRATION SERVICES

Director of the Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, April 2007-October 2017

Director of the State Key Laboratory on Scientific and Engineering Computing, January 2006-November 2015

Vice director of the State Key Laboratory on Scientific and Engineering Computing, January 2001-January 2006

Vice director in general of the Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, March 2003-April 2007