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

An arbitrarily highorder finite element method on arbitrarily shaped domains with automatic mesh generation (in Chinese), with Y. Liu, Sci. Sin. Math. 54 (2024), 118.

An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation, with Y. Liu, J. Comput. Phys. 491 (2023) 112384 (24pp).

An adaptive highorder unfitted finite element method for elliptic interface problems, with K. Li and X. Xiang, Numer. Math. 149 (2021), 507548.
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.

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

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. 
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 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
Electromagnetism

Detection and classification from electromagnetic induction data , with H. Ammari, J. Chen, D. Volkov, and H. Wang, Journal of Computational Physics, 301 (2015), 201217.

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
Reverse Time Migration for Inverse Scattering Problems

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

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