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Original Articles

Fourier analysis of iterative schemes for solving the biharmonic equation

Pages 95-101 | Received 27 Feb 1995, Published online: 19 Mar 2007

References

  • Hageman , L. A. and Young , D. M. 1981 . Applied Iterative Methods , New York : Academic Press .
  • Chan , T. F. and Elman , H. C. 1989 . Fourier analysis of iterative methods for elliptic problem . SIAM Review , 31 : 20 – 49 .
  • Chan , T. F. and Kuo , C. C. J. 1989 . Parallel elliptic preconditioners: Fourier analysis and performance on the connection machine . Computer Physics Communications , 53 : 237 – 252 .
  • Adams , L. M. , Leveque , R. J. and Young , D. M. 1988 . Analysis of the SOR iteration for the 9-point Laplacian . SIAM Journal of Numerical Analysis , 25 : 1156 – 1180 .
  • Young , D. M. and Mai , T. Z. 1990 . “ The search for Omega ” . In Iterative Methods for Large Linear Systems , 293 – 311 . Academic Press .
  • Rodrigue , G. and Varga , R. 1988 . Convergence rate estimates for iterative solutions of the biharmonic equation . Journal of Computational and Applied Mathematics , 24 : 129 – 146 .
  • Garabedian , P. R. 1956 . Estimation of the relaxation factor for small mesh size . Mathematical Tables and other Aids to Computation , 10 : 183 – 185 .

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