Xiao-peng Lian

Zhejiang University, Hang-hsien, Zhejiang Sheng, China

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Publications (2)1.17 Total impact

  • Xiao-Peng Lian · Zhongdi Cen · Xiao-Liang Cheng
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    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.
    No preview · Article · Sep 2010 · International Journal of Computer Mathematics
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    Xiao-peng Lian · Xiao-liang Cheng · Wei-min Han
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    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.
    Preview · Article · Sep 2009 · Applied Mathematics

Publication Stats

1.17 Total Impact Points


  • 2009-2010
    • Zhejiang University
      • Department of Mathematics
      Hang-hsien, Zhejiang Sheng, China