Xiao-peng Lian

Zhejiang University, Hang-hsien, Zhejiang Sheng, China

Are you Xiao-peng Lian?

Claim your profile

Publications (2)0.26 Total impact

  • Xiao-Peng Lian, Zhongdi Cen, Xiao-Liang Cheng
    [Show abstract] [Hide abstract]
    ABSTRACT: In this paper we propose some iterative algorithms for the obstacle problems discretized by the finite difference method. We rewrite the obstacle problem to an equivalent complementarity problem. We use the regularization trick to non-smooth absolute function. Then we apply the Newton's method to obtain an iterative algorithm. Some other two algorithms based on this algorithm are derived. Numerical experiments show the effective of the algorithm.
    Int. J. Comput. Math. 01/2010; 87:2493-2502.
  • Source
    Xiao-peng Lian, Xiao-liang Cheng, Wei-min Han
    [Show abstract] [Hide abstract]
    ABSTRACT: In this paper, the relaxation algorithm and two Uzawa type algorithms for solving discretized variational inequalities arising from the two-phase Stefan type problem are proposed. An analysis of their convergence is presented and the upper bounds of the convergence rates are derived. Some numerical experiments are shown to demonstrate that for the second Uzawa algorithm which is an improved version of the first Uzawa algorithm, the convergence rate is uniformly bounded away from 1 if τh −2 is kept bounded, where τ is the time step size and h the space mesh size.
    Applied Mathematics 24(3):298-308. · 0.26 Impact Factor

Publication Stats

0.26 Total Impact Points

Top Journals

Institutions

  • 2010
    • Zhejiang University
      • Department of Mathematics
      Hang-hsien, Zhejiang Sheng, China