An Operator Splitting Scheme for Biharmonic Equation with Accelerated Convergence

  • X. H. Tang
  • Ch. I. Christov
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3743)


We consider the acceleration of operator splitting schemes for Dirichlet problem for biharmonic equation. The two fractional steps are organized in a single iteration unit where the explicit operators are arranged differently for the second step. Using an a-priori estimate for the spectral radius of the operator, we show that there exists an optimal value for the acceleration parameter which speeds up the convergence from two to three times. An algorithm is devised implementing the scheme and the optimal range is verified through numerical experiments.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • X. H. Tang
    • 1
  • Ch. I. Christov
    • 1
  1. 1.Dept. of MathematicsUniversity of Louisiana at Lafayette

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