Selected journal publications [Over 100 papers abstracted in American Mathematical Society's Mathematics Reviews. Furthermore, my papers have been cited by 9 monographs, and more than 2000 times by various refereed journal papers ( see Google scholar). If you cannot download my papers from the publishers, drop me an email and I'd be happy to send you.]

- W. Yang, J. Li and Y. Huang, Mathematical analysis and finite element time domain simulation of arbitrary star-shaped electromagnetic cloaks,
*SIAM Journal on Numerical Analysis*, Vol.58, No.1 (2018) 136-159. - J. Li, C. Shi and C.-W. Shu, Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials,
*Computers & Mathematics with Applications*,Vol.73, No.8 (2017) 1760-1780. - J. Li and S. Shields, Superconvergence analysis of Yee scheme for metamaterial Maxwell's equations on non-uniform rectangular meshes,
*Numerische Mathematik*Vol.134, No.4 (2016) 741–781. - Y. Huang, J. Li and W. Yang, Theoretical and numerical analysis of a non-local dispersion model for light interaction with metallic nanostructures,
*Computers & Mathematics with Applications*, Vol.72, No.4 (2016) 921–932. - J. Li, A literature survey of mathematical study of metamaterials,
*International Journal of Numerical Analysis & Modeling*,13(2) (2016) 230-243. - W. Yang, Y. Huang and J. Li, Developing a Time-Domain Finite Element Method for the Lorentz Metamaterial Model and Applications,
*Journal of Scientific Computing*, Vol.68, No.2 (2016) 438–463. - W. Yang, J. Li and Y. Huang, Modeling and analysis of the optical black hole in metamaterials by the finite element time-domain method,
*Computer Methods in Applied Mechanics and Engineering*, 304 (2016), 501–520. - J. Li, Y. Huang, W. Yang, Mathematical analysis and finite element simulation of a magnetized ferrite model,
*Journal of Computational and Applied Mathematics*292 (2016) 279-291. - J. Li, Y. Huang and W. Yang, Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks,
*Mathematics of Computation*84 (2015), 543-562. - J. Li and S. Sun, The superconvergence phenomenon and proof of the MAC scheme for the Stokes equations on non-uniform rectangular meshes,
*Journal of Scientific Computing*, 65 (2015) 341—362. - J. Li and Y. Lin, A priori and posteriori error analysis for time-dependent Maxwell's equations,
*Computer Methods in Applied Mechanics and Engineering*, 292 (2015) 54–68. - Y. Huang and J. Li, Total reflection and cloaking by triangular defects embedded in zero index metamaterials,
*Advances in Applied Mathematics and Mechanics*, 7(2) (2015) 1-10. - Y. Liu, Y. Du, H. Li, J. Li and S. He, A two-grid mixed finite element method for a nonlinear fourth-order reaction–diffusion problem with time-fractional derivative,
*Computers & Mathematics with Applications*, 70 (2015) 2474--2492. - Y. Huang, J. Li, C. Wu and W. Yang, Superconvergence Analysis for Linear Tetrahedral Edge Elements,
*Journal of Scientific Computing*, 62 (2015) 122-145. - J. Li, Y. Huang, W. Yang and A. Wood, Mathematical analysis and time-domain finite element simulation of carpet cloak,
*SIAM Journal on Applied Mathematics*, 74(4) (2014) 1136-1151. - J. Li and J. Hesthaven, Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials,
*Journal of Computational Physics*, 258 (2014) 915--930. - J. Li, Well-posedness study for a time-domain spherical cloaking model,
*Computers & Mathematics with Applications*, 68 (2014) 1871--1881. - Y. Huang, J. Li and W. Yang, Mathematical Analysis of a PML Model Obtained with Stretched Coordinates and its Application to Backward Wave Propagation in Metamaterials,
*Numerical Methods for Partial Differential Equations*, 30 (2014) 1558-1574. - Y. Wu and J. Li, Total reflection and cloaking by zero index metamaterials loaded with rectangular dielectric defects,
*Applied Physics Letters*, 102, 183105 (2013), 4 pages. - J. Li, Y. Huang and W. Yang, An adaptive edge finite element method for electromagnetic cloaking simulation,
*Journal of Computational Physics*, 249 (2013) 216–232. - L. Demkowicz and J. Li, Numerical simulations of cloaking problems using a DPG method,
*Computational Mechanics*, 51 (2013) 661-672. - Y. Huang, J. Li and W. Yang, Modeling backward wave propagation in metamaterials by the finite element time domain method,
*SIAM Journal on Scientific Computing*, vol.35, no.1 (2013) B248–B274. - J. Li, Y. Huang and W. Yang, Numerical study of the plasma-Lorentz model in metamaterials,
*Journal of Scientific Computing*, 54 (2013) 121-144. - Y. Huang, J. Li and C. Wu, Averaging for superconvergence: verification and application of 2D edge elements to Maxwell's equations in metamaterials,
*Computer Methods in Applied Mechanics and Engineering*, 255 (2013) 121–132. - J. Li, J.W. Waters and E.A. Machorro, An implicit leap-frog discontinuous Galerkin method for the time-domain Maxwell's equations in metamaterials,
*Computer Methods in Applied Mechanics and Engineering*, 223-224 (2012) 43-54. - Y. Liu, Y. Chen, Jichun Li, T.-C. Hung, J. Li, Study of energy absorption on solar cell using metamaterials,
*Solar Energy*, 86 (2012) 1586-1599. - Y. Huang, J. Li and Qun Lin, Superconvergence analysis for time-dependent Maxwell’s equations in metamaterials,
*Numerical Methods for Partial Differential Equations*, 28 (2012) 1794-1816. - J. Li, Optimal $L^2$ error estimates for the interior penalty DG method for Maxwell's equations in cold plasma,
*Communication in Computational Physics*, 11 (2012) 319-334. - Y. Huang, J. LI and W. Yang, Solving metamaterial Maxwell’s equations via a vector wave integro-differential equation,
*Computers & Mathematics with Applications*, 63 (2012) 1597–1606. - J.Li, Y. Huang and Y. Lin,
Developing Finite Element Methods for Maxwell's Equations in a Cole–Cole Dispersive Medium,
*SIAM Journal on Scientific Computing*, 33 (2011), pp.3153-3174. - Y. Huang, J.Li and W. Yang, Interiori penalty DG methods for Maxwell's
equations in dispersive media,
*Journal of Computational Physics*, 230 (2011), pp.4559-4570. - J. Li, Finite element study of the Lorentz model in metamaterials,
*Computer Methods in Applied Mechanics and Engineering*, 200 (2011) 626-637. - J. Li and Z. Zhang, Unified analysis of time domain mixed finite element methods for Maxwell’s equations in dispersive media,
*Journal of Computational Mathematics*28 (2010) 693-710. - Y. Huang and J. Li, Interior penalty discontinuous Galerkin method for Maxwell’s equations in cold plasma,
*Journal of Scientific Computing*, 41 (2009) 321-340. - J. Li, Numerical convergence and physical fidelity analysis for Maxwell’s equations in metamaterials,
*Computer Methods in Applied Mechanics and Engineering*, 198 (2009) 3161-3172. - J. Li, T. Arbogast and Y. Huang, Mixed methods using standard conforming finite elements,
*Computer Methods in Applied Mechanics and Engineering*, 198 (2009) 680-692. - J. Li, Posteriori error estimation for an interior penalty discontinuous Galerkin method for Maxwell’s equations in cold plasma,
*Advances in Applied Mathematics and Mechanics*, Vol.1, No.1, 107-124 (2009). - Qun Lin and J.Li, Superconvergence analysis for
Maxwell's equations in dispersive media,
*Mathematics of Computation*, 77 (2008), pp.757-771. - J. Li, Y. Chen and V. Elander, Mathematical and numerical study of wave propagation in negative-index materials,
*Computer Methods in Applied Mechanics and Engineering*, 197 (2008) 3976-3987. - J. Li and Y. Chen, Finite element study of time-dependent Maxwell's equations in dispersive media,
*Numerical Methods for Partial Differential Equations*, 24 (2008) 1203-1221. - J. Li and Y. Chen, Uniform convergence analysis for singularly perturbed elliptic problems with parabolic layers,
*Numerical Mathematics: Theory, Methods and Applications*, Vol.1, No.2 (2008), 138-149. - J.Li and A. Wood,
Finite element analysis for wave propagation in double negative metamaterials,
*Journal of Scientific Computing*, vol.32, no.2 (2007), pp.263-286. - J. Li, Optimal error estimates of mixed finite element methods for a fourth-order nonlinear elliptic problem,
*Journal of Mathematical Analysis and Applications*, Vol.334, Issue 1 (2007), p.183-195. - J. Li, Error analysis of mixed finite element methods for wave propagation in double negative metamaterials,
*Journal of Computational and Applied Mathematics*, Vol.209, No.1 (2007), p.81-96. - J. Li, Error analysis of fully discrete mixed finite element schemes for 3-D Maxwell's equations in dispersive media,
*Computer Methods in Applied Mechanics and Engineering*, Vol.196 (2007), p.3081-3094. - J.Li, Error analysis of finite element methods for
3-D Maxwell's equations in dispersive media,
*Journal of Computational and Applied Mathematics*, Vol. 188, Issue 1 (2006), pp.107-120. - J. Li and Y. Chen, Analysis of a time-domain finite element method
for 3-D Maxwell's equations in dispersive media,
*Computer Methods in Applied Mechanics and Engineering*, Vol. 195, Issues 33-36 (2006), pp.4220-4229. - J.Li, M.R. Visbal, High-order compact schemes for nonlinear
dispersive waves,
*Journal of Scientific Computing*, 26 (2006), no. 1, pp.1--23. - J. Li, Optimal uniform convergence analysis for a two-dimensional parabolic
problem with two small parameters,
*International Journal of Numerical Analysis and Modeling*, Vol.2, No.1 (March 2005), p. 107-126. - J. Li, Mixed methods for fourth-order elliptic and parabolic problems
using radial basis functions,
*Advances in Computational Mathematics*, 23 (2005), no. 1-2, 21--30. - J. Li, Y.C. Hon, Domain Decomposition for Radial Basis Meshless Methods,
*Numerical Methods for Partial Differential Equations*, 20 (2004), pp.450-462. - J.Li, Radial Basis Meshless Method for Solving Inverse Boundary
Value Problems,
*Communications of Numerical Methods in Engineering*, 20 (2004), pp.51-60. - J.Li, Optimal uniform convergence analysis for a singularly perturbed
quasilinear reaction-diffusion problem,
*Journal of Numerical Mathematics*, 12 (2004), no. 1, 39--54. - J. Li, C.S. Chen, Some Observations on Unsymmetric Radial Basis
Function Collocation Methods for Convection-Diffusion Problems,
*International Journal of Numerical Methods in Engineering*, Vol.57, No.8 (June 2003), pp.1085-1094. - X. Zhou, Y.C. Hon, J. Li, Overlapping Domain Decomposition Method
by Radial Basis Functions,
*Applied Numerical Mathematics*Vol.44, No.1-2 (2003), pp. 243-257. - J. Li, A. H-D Cheng, C.S. Chen, On the efficiency and exponential
convergence of multiquadric collocation method compared to
finite element method,
*Engineering Analysis with Boundary Elements*Vol. 27, No.3 (2003), pp.251-257. - J. Li, A multiblock mixed finite element method for 2D and 3D
elliptic problems on mixed unstructured grids and its parallelization,
*Contemporary Mathematics*, Vol. 295, (2002), pp.343-353. - J. Li, Finite Element Analysis and Application for a Nonlinear
Diffusion Model in Image Denoising,
*Numerical Methods for Partial Differential Equations*, 18 (2002), pp. 649-662. - J. Li, Y.C. Hon and C.S. Chen, Numerical Comparisons of
Two Meshless Methods Using Radial Basis Functions,
*Engineering Analysis with Boundary Elements*, Vol. 26/3, (2002), pp. 205-225. - J. Li, Finite Element Analysis for a Nonlinear Diffusion Model
in Image Processing,
*Applied Mathematics Letters*, Vol. 15, No.2, (2002), pp.197-202. - J. Li, Uniform Convergence of Discontinuous Finite Element Methods
for Singularly Perturbed Reaction-Diffusion Problems,
*Computers & Mathematics with Applications*, 44 (2002), No.1-2, pp. 231-240. - J. Li and C.S. Chen, A Simple Efficient Algorithm for Interpolation
between Different Grids in Both 2D and 3D,
*Mathematics and Computers in Simulation*, Vol 58/2, (2002), pp 125-132. - J. Li, Mathematical Justification for RBF-MFS,
*Engineering Analysis with Boundary Elements*, Vol 25/10, (2001), pp 897-901. - J. Li, Optimal Uniform Convergence Analysis of Mixed
Finite Element Methods for Solving Singularly Perturbed Problems:
a Unified Approach,
*Journal of Mathematical Study*, Vol.34, No.3, 2001, pp.213-229. - J. Li, Convergence and Superconvergence Analysis of Finite Element
Methods on Highly Nonuniform Anisotropic Meshes for Singularly
Perturbed Reaction-Diffusion Problems,
*Applied Numerical Mathematics*, Volume 36, Issue 2-3, (2001), pp.129-154. - J. Li and M.F. Wheeler, Uniform Convergence and Superconvergence of Mixed
Finite Element Methods on Anisotropically Refined Grids,
*SIAM Journal on Numerical Analysis*, Vol.38, No.3, (2000), pp.770-798. - J. Li, Multiblock Mixed Finite Element Methods for Singularly Perturbed
Problems,
*Applied Numerical Mathematics*, Vol.35, No.2 (2000), pp.157-172. - J. Li, An Optimal Order Estimate for Nonlinear Hyperbolic Conservation
Laws in Two Space Variables,
*Applied Mathematics Letters*, Vol. 13 (2000), pp. 85-89. - J. Li, An Arbitrary Order Uniformly Convergent Finite Element Method
for Singular Perturbation Problems,
*Numerical Functional Analysis and Optimization*, Vol.20, No.7/8(1999), pp.737--752. - J. Li, Full-Order Convergence of a Mixed Finite Element Method
for Fourth-Order Elliptic Equations,
*Journal of Mathematical Analysis and Applications*, Vol.230, No.2(1999), pp.329--349. - J. Li and I.M. Navon, A Global Uniformly Convergent Finite Element
Method for a Quasilinear Singularly Perturbed Elliptic Problem,
*Computers & Mathematics with Applications*, Vol 38, No 5--6(1999), pp. 197--206. - J. Li and I.M. Navon, Global Uniformly Convergent Finite Element
Methods for Singularly Perturbed Elliptic Boundary Value Problems:
Higher-order Elements,
*Computer Methods in Applied Mechanics and Engineering*, Vol.171, No.1-2(1999), 1-23. - J. Li and I.M. Navon, Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: convection-diffusion type,
*Computer Methods in Applied Mechanics and Engineering*, Vol.162, no.1-4 (1998), p.49-78. - J. Li and I.M. Navon, Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I. Reaction-diffusion type.
*Computers & Mathematics with Applications*, Vol.35, no.3 (1998), p.57-70. - J. Li, A robust finite element method for a singularly perturbed elliptic problem with two small parameters,
*Computers & Mathematics with Applications*, Vol.36, no.7 (1998), p.91-110. - J. Li, Global pointwise error estimates for uniformly convergent finite element methods for the elliptic boundary layer,
*Computers & Mathematics with Applications*, Vol.36, no.1 (1998), p.59-67. - J. Li, Quasioptimal uniformly convergent finite element methods for the elliptic boundary layer problem,
*Computers & Mathematics with Applications*, Vol.33, no.10 (1997), p.11-22. - Aihui Zhou and J. Li, The full approximation accuracy for the stream function-vorticity-pressure method.
*Numerische Mathematik*68 (1994), no. 3, 427--435. - Q. Wu and J. Li, Numerical solutions for singularly perturbed semi-linear parabolic equation,
*Applied Mathematics and Mechanics (English Edition)*, Vol.14, no.9 (1993), p.793-801. - J. Li, A class of uniformly convergent difference schemes for the problem of a turning point without resonance,
*Numerical Mathematics. A Journal of Chinese Universities*, Vol.14, no.2 (1992), p.120-129. (in Chinese) - Q. Wu and J. Li, Numerical methods for parabolic equation with a small parameter in time variable,
*Applied Mathematics and Mechanics (English Edition)*, Vol.12, no.8 (1991), p.733-739. - Xinyuan Wu and J. Li, On attainable highest order and stiffly stability of second derivative methods for numerical solution of ordinary differential equations,
*Communication on Applied Mathematics and Computation*, Vol.4, No.1 (April 1990), p.35-44. (in Chinese)