PUBLICATIONS: SUBJECT CLASSIFICATION
General interests
Free boundary and phase transition
Convectiondominated diffusion
Electromagnetism
Multiscale Computation of Flow Transport in Porous Media
Mathematical and Numerical Analysis for Free Boundary Problems
Superconductivity
Continuous
casting
Phase transitions
Miscellaneous

A Direct Imaging Method for the Halfspace Inverse Scattering Problems with Phaseless Data, with G. Huang
and S. Fang, Inverse Problems and Imaging 11 (2017), 901916.

A Direct Imaging Method for Electromagnetic Scattering Data without Phase Information, with G. Huang,
SIAM J. Imaging Sciences 9 (2016), 12731297.

Phaseless Imaging by Reverse Time Migration: Acoustic Waves, with G. Huang, Numer. Math. Theor. Meth. Appl. 10 (2017), 121.

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

Reverse Time Migration for Extended Obstacles: Elastic Waves (in Chinese), with G. Huang
Sci. Sin. Math. 45 (2015), 11031114, doi: 10.1360/N01201400097.

Reverse Time Migration for Reconstructing Extended Obstacles in Planar Acoustic Waveguides, with
G. Huang, Science in China: Series A Mathematics 58 (2015), 18111834.

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

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

PML method for electromagnetic scattering problem in a twolayer medium, with W. Zheng, SIAM J. Numer. Anal. 55 (2017), 20502084.

A Source Transfer Domain Decomposition Method for Timeharmonic Elastic Wave Equations, with T. Cui and X. Xiang, Scientia Sinica Informatics 46 (2016), 13591371. (in Chinese)

Convergence of the PML Method for Elastic Wave Scattering Problems, with X. Xiang and X. Zhang,
Math. Comp. 85 (2016). 26872714.

A Source Transfer Domain Decomposition Method For Helmholtz Equations in Unbounded Domain, with X. Xiang, SIAM J. Numer. Anal. 51 (2013), 23312356.

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), 538555.

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), 663678.

Longtime Stability and Convergence of the Uniaxial Perfectly Matched Layer Method for Timedomain Acoustic Scattering Problems with Xinming Wu, SIAM J. Numer. Anal. 50 (2012), 26322655.

An adaptive anisotropic perfectly matched layer method for
3D time harmonic electromagnetic scattering problems with Tao Cui and Linbo Zhang, Numer. Math. 125 (2013), 639677.

Convergence of the uniaxial perfectly matched layer method for timeharmonic scattering problems in twolayered media with Weiying Zheng,
SIAM J. Numer. Anal, 48 (2010), 21582185.

Convergence of the timedomain perfectly matched layer method
for acoustic problems International Journal of Numerical Analysis and Modeling,
6 (2009), 124146.

An adaptive uniaxial perfectly matched layer technique for TimeHarmonic
Scattering Problems with X.M. Wu, Numerical Mathematics: Theory, Methods
and Applications, 1 (2008), 113137.

An adaptive perfectly matched layer technique for 3D timeharmonic
electromagnetic scattering problems
with J. Chen, Math. Comp. 77 (2008), 673698.

An Adaptive Perfectly Matched Layer Technique
for Timeharmonic Scattering Problems,
with X.Z. Liu, SIAM J. Numer. Anal. 43 (2005), 645671. 
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), 799826.
A Posteriori Error Analysis and Adaptivity
General interests

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), 50005019.

Uniform convergence of multigrid Vcycle on adaptively refined finite element meshes
for second order elliptic problems,
with H. Wu, Science in China: Series A Mathematics 49 (2006), 14051429. 
An adaptive finite element method with reliable and efficient error control
for linear parabolic problems,
with F. Jia,
Math. Comp. 73 (2004), 11631197. 
On the efficiency of adaptive finite element methods for elliptic
problems with discontinous coefficients,
with S. Dai,
SIAM J. Sci. Comput. 24 (2002), 443462.
Free boundary and phase transitions

Adaptive Galerkin method with error control for a dynamical
GinzburgLandau model in superconductivity,
with S. Dai,
SIAM J. Numer. Anal. 38 (2001), 19611985. 
A posteriori error control and adaptivity for a phase relaxation model,
with R.H. Nochetto and A. Schmidt, Math. Model. Numer. Anal.
34 (2000), 775797. 
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), 249276 
Residual type a posteriori error estimates for elliptic
obstacle problems,
with R.H. Nochetto, Numer. Math. 84 (2000),
527548
Convectiondominated diffusion

Sharp $L^1$ a posteriori error analysis for nonlinear convectiondiffusion problems
with G.H. Ji, Math. Comp. 75 (2006), 4371.

Adaptive computation for convection dominated diffusion problems,
with G.H. Ji, Science in China (Series A) 47 (2004), Supp. 2231. 
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), 249276
Electromagnetism

Target Detection and Characterization from Electromagnetic Induction Data, with H. Ammari, J. Chen, J. Garnier,
and Volkov, J. Math. Pures Appl. 101 (2014), 5475.

ParAFEMCap: A parallel adaptive finite element method for 3D VLSI Interconnect Capacitance Extraction with G. Chen, H. Zhu, T. Cui, X. Zeng, W. Cai, IEEE Transaction on Microwave Theory and Techniques 60 (2012), 218231.

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), 10201042.

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), 50005019.

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), 546564.

On Maxwell Equations with the transparent boundary condition with J.C. Nedelec,
J. Comput. Math. 26 (2008), 284296.

An adaptive multilevel method for timeharmonic
Maxwell equations with singularities,
with L. Wang and W. Zheng, SIAM J. Sci. Comput., 29 (2007), 118138. 
An adaptive finite element method for the ${\bf H}\psi$
formulation of timedependent eddy current problems,
with W.Y. Zheng and L. Wang, Numer. Math. 103 (2006), 667689. 
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), 11061114. 
Finite element methods with matching and nonmatching meshes for
Maxwell equations with discontinuous coefficients,
with Q. Du and J.
Zou, SIAM J. Numer. Anal. 37 (2000), 15241570
Multiscale Computation of Flow Transport in Porous Media

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), 493515.

A new upscaling method for the solute transport equations,
with W.B. Deng and H. Ye, Continuous and Discrete Dynamical
Systems 13 (2005), 941962. 
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), 260303. 
A mixed multiscale finite element method for elliptic problems
with oscillating coefficients,
with T.Y. Hou,
Math. Comp. 72 (2002), 541576.
Mathematical and Numerical Analysis for Free Boundary Problems
Superconductivity

Adaptive Galerkin method with error control for a dynamical
GinzburgLandau model in superconductivity,
with S. Dai,
SIAM J. Numer. Anal. 38 (2001), 19611985. 
An upwinding finite element method for a mean field model for
superconducting vortices,
with Q. Du, Math. Model. Numer. Anal.
34 (2000), 687706.

Numerical solutions of an optimal control problem governed by a
GinzburgLandau model in superconductivity,
with K.H. Hoffmann,
Numer. Funct. Anal. Optimiz. 19 (1998), 737758. 
Justification of a twodimensional evolutionary GinzburgLandau
superconductivity model,
with C.M. Elliott and Q. Tang, RAIRO Math.
Model. Numer. Anal. 32 (1998), 2550. 
Global classical solutions to a nonisothermal dynamical
GinzburgLandau model in superconductivity,
with K.H. Hoffmann,
Numer. Funct. Anal. Optimiz. 18 (1997), 901920. 
On the LawrenceDoniach model for layered superconductors,
with K.H. Hoffmann and L. Jiang, Euro. J. Appl. Math. 8 (1997),
369387. 
Mixed finite element methods for a dynamical GinzburgLandau
model in superconductivity,
Numer. Math. 76 (1997), 323353. 
Modelling and numerical solutions of a gauge periodic time
dependent GinzburgLandau model for typeII superconductors,
J.
Comput. Math. 15 (1997) 365384. 
Optimal control of dynamical GinzburgLandau vortices in
Superconductivity,
with K.H. Hoffmann, Numer. Funct. Anal. Optimiz.
17 (1996), 241258. 
Numerical Studies of a nonstationary GinzburgLandau model for
superconductivity,
with K.H. Hoffmann, Adv. Math. Sci. Appl. 5
(1995), 363389.
Continuous casting

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), 249276. 
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), 8198. 
Approximation of a twophase continuous casting Stefan
problems,
with L. Jiang, J. Partial Differential Equations 11 (1998),
5972.
Phase transitions

A posteriori error control and adaptivity for a phase relaxation model,
with R.H. Nochetto and A. Schmidt, Math. Model. Numer. Anal.
34 (2000), 775797. 
Asymptotic behaviors of LandauDevonshireGinzburg model for
structural phase transitions in shape memory alloys,
with K.H.
Hoffmann, Adv. Math. Sci. Appl. 4 (1994), 209226. 
On a onedimensional nonlinear thermoviscoelastic model for
structural phase transitions in shape memory alloys,
with K.H.
Hoffmann, J. Diff. Equations 112 (1994), 325350. 
An error estimate for a finite element scheme for a phase field
model,
with K.H. Hoffmann, IMA J. Numer. Anal. 14 (1994),
243255. 
Optimal boundary controls for a phase field model,
IMA J.
Math. Contr. Inform. 10 (1993), 157176.
Miscellaneous

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., to appear.

An Adaptive Immersed Finite Element Method with Arbitrary LagrangianEulerian Scheme for Parabolic
Equations in Time Variable Domains, with Z. Wu and Y. Xiao, International Journal of Numerical
Analysis and Modeling 12 (2015), 567591.

Uniform convergence of multigrid Vcycle on adaptively refined finite element meshes
for second order elliptic problems,
with H. Wu, Science in China: Series A Mathematics 49 (2006), 14051429. 
On the efficiency of adaptive finite element methods for elliptic
problems with discontinous coefficients,
with S. Dai,
SIAM J. Sci. Comput. 24 (2002), 443462. 
On the augmented Lagrangian approach to Signorini elastic contact
problem,
Numer. Math. 88 (2001), 641659. 
An augmented Lagrangian method for identifying discontinuous
parameters in elliptic systems,
with J. Zou, SIAM J. Control and
Optimization 37 (1999), 892910. 
Finite element methods and their convergence for elliptic and
parabolic interface problems,
with J. Zou, Numer. Math. 79 (1998),
175202. 
A fulldiscretization moving FEM with optimal convergence
rate,
with G.P. Liang, Chinese J. Num. Math. \& Appl. 12 (1990),
91111.