Jichun Li's Recent Refereed Journal Publications
Selected journal publications
[I have 48 papers reviewed by
Mathematics Reviews ]:
- Q. Lin and J.Li, Superconvergence analysis for
Maxwell's equations in dispersive media,
Mathematics of Computation ,
77 (2008), pp.757-771.
- 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 (April 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 (July 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.
- A. Zhou and J. Li, The full approximation accuracy for the stream function-vorticity-pressure method.
Numerische Mathematik 68 (1994), no. 3, 427--435.