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.
UNDERGRADUATE
GRADUATE
Ph.D. STUDY
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.
Institute for Mathematics and its Applications: Program on
``Mathematics of Materials and Macromolecules: Multiple Scales,
Disorder, and Singularities'',
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
K.C. Wong Science Research Prize, Chinese Academy of Sciences (1994)
Hundred Talent Project, Chinese Academy of Sciences (1999)
NSFC Outstanding Young Scientist Grant (2000)
Feng Kang Scientific Computing Prize (2001)
Invited Speaker, International Congress of Mathematicians,
Madrid, Spain (2006)
SELECTED PUBLICATION
2. 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.
3. Mixed finite element methods for a dynamical Ginzburg-Landau model in superconductivity, Numer. Math. 76 (1997), 323-353.
4. Residual type a posteriori error estimates for elliptic obstacle problems, with R.H. Nochetto, Numer. Math. 84 (2000), 524-548.
5. 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.
6. Adaptive Galerkin methods with error control for a dynamical Ginzburg-Landau model in superconductivity, with S. Dai, SIAM J. Numer. Anal. 38 (2001), 1861-1985.
7. A mixed multiscale finite element method for elliptic problems with oscillating coefficients, with T. Hou, Math. Comp. 72 (2002), 541-576.
8. 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.
9. 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.
10. An adaptive finite element method with reliable and efficient error control for linear parabolic problems, with F. Jia, Math. Comp. 73 (2004), 1163-1197.
11. An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems, with X.Z. Liu, SIAM J. Numer. Anal. 43 (2005), 645-671.
12. Sharp $L^1$ a posteriori error analysis for nonlinear convection-diffusion problems with G.H. Ji, Math. Comp. 75 (2006), 43-71.
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
Chinese Academy of Sciences "Hundred Talent Project",
Principal Investigator, Subject: High-end Technology and
Scientific Computing, June 2000-May 2002
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)
Member of the editorial board of Journal of Computational Mathematics
, Executive Editor, May 2000-June 2006, Associate Editor, July 2006-present
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 Dynaimical Systems-B
, November 2003-December 2007
Editor in Chief of
Numerical Mathematics: A Journal of Chinese Universities
, January 2004-present
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-present
Member of the editorial board of
Chinese Journal of Engineering Mathematics
, August 2007-present
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-October 2002
Vice president of China Society of Computational Mathematics,
November 2006-October 2010
Vice president of Chinese Mathematical Society,
January 2008-December 2011
ACADEMIC ADMINISTRATION SERVICES
Director of the Institute of Computational Mathematics and
Scientific/Engineering Computing, Academy of Mathematics and Systems Science,
Chinese Academy of Sciences, May 2007-present
Director of the State Key Laboratory on Scientific and Engineering Computing,
February 2006-present
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