Work on parameter-dependent mathematical models

• Analysis of finite element domain embedding methods for curved domains using uniform grids,
  SIAM J. Numer. Anal., to appear.
• An asymptotic analysis on the form of Naghdi type arch model,
  Math. Models Methods Appl. Sci. , Vol. 18, No. 3, page 417-442, 2008.
• Invalidity of decoupling a biharmonic equation to two Poisson equations on non-convex polygons (With Zhimin Zhang),
  International J. Numer. Anal. Model., Vol. 5, No.1, page 73-76, 2008.
• A domain embedding method for mixed boundary value problems ,
  C. R. Acad. Paris, Series I, Vol. 343, page 287 – 290, 2006.
• Equivalence estimates for a class of singular perturbation problems,
  C. R. Acad. Paris, Series I, Vol 342, page 285 – 288, 2006.
• On the accuracy of Reissner-Mindlin plate bending model for stress boundary conditions,
  Math. Model. Numer. Anal., Vol. 40, No. 2, page 269 – 295, 2006.
• On the range of applicability of the Reissner-Mindlin and Kirchhoff-Love plate bending models (with D. N. Arnold and A. L. Madureira),
  J. Elasticity, Vol. 67, No. 3, page 171-185, 2002.
• Sharp convergence rate of domain embedding method for various boundary conditions,
  submitted to Numer. Math.

Work on Domain Decomposition and Multigrid

My work on domain decomposition and multigrid started with

• Multigrid Multi-level Domain Decomposition (with Huang Hong- ci),
  J. Comp. Math., Vol.9, No.1, page 17-27, 1991.

It was ended by

• Preconditioning the Poincare-Stecklov Operator by Using Green's Function (with Jinchao Xu),
  Math. Comp., Vol.66,No.1, page 125 – 138, 1997.

In-between the above two:

• The Optimal Preconditioning in Domain Decomposition Method for Wilson Element (with Wang Ming),
  J. Comp. Math., Vol.15, No.3, page 193-202,1997.
• Splitting a Concave Domain to Convex Subdomains (with Huang Hong-ci and Xue Weiming),
  J. Comp. Math., Vol. 15, No.3, page 279-287, 1997.
• Preconditioning of Stiffness Matrix of Local Refined Triangulation,
  J. Comp. Math., Vol.12, No.2, page 113-117,1994.
• Preconditioner Determined by a Subdomain Covering the Interface,
  J. Comp. Math., Vol.12, No.1, page 71-77, 1994.
• On Optimal Preconditioning of Second Order Elliptic Equation in Domain Decomposition,
  Math. Numer. Sinica, No.2, 1993 (in Chinese) and Chinese J. Numer. Math. Appl., No.3, 1993 (in English).
• On the Relation between Convergence Factors of Additive and Multiplicative Schwarz Methods,
  Chinese Science Bulletin, Vol.39, No.7, 1993.
• Domain Decomposition based on Preconditioning for 3-D problems,
  J. Fudan University, Vol.31, No.2, 1992.
• Many Subdomains Parallel Decomposition Algorithm,
  Selected Papers of Chinese Postdoctoral Researchers, Beijing University Press, 1992.
• Domain Decomposition with Overlapping and PCG Method (with Huang Hong-ci),
  J. Comp. Math., Vol.11, No.1, page 63-72, 1993.
• On the Pseudo-Boundary Relaxation of Schwarz Alternating Method (with Zhang Lin-bo),
  Math. Numer. Sinica, No. 4, 19 (in Chinese), and Chinese J. Numer. Math. Appl., No.1, 19 (in English).
• On the Convergence Factor of Schwarz Alternating Method (with Zhang Lin-bo),
  Math. Numer. Sinica, No.3, 1992 (in Chinese), and Chinese J. Numer. Math. Appl., No.4, 1992 (in English).
• Parallel Iterative Domain Decomposition Method for Elliptic Equations---Two Subdomains Case (with Huang Hong-ci),
  Math. Numer. Sinica, No.2, 1992 (in Chinese).
• Parallel Iterative Domain Decomposition Method for Elliptic Equations---Many Subdomains Case (with Huang Hong-ci),
  Scientia Sinica, Series A, No.~12, 1991(in Chinese), and Science in China, Series A, No.6, 1992 (in English).
• Parallel Iterative Domain Decomposition Method for Elliptic Equations---Subdomain and Dual Subdomain Decomposition (with Huang Jian-guo),
  Proceeding of the International Conference on Scientific Computation, T. F. Chan and Shi Zhong-ci eds., World Scientific Press, Singapore, 1992.