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On the design of nested iterations for elliptic difference equations

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Abstract

By “Richardson extrapolation from 2h andh toh/2” the results of computations with coarse grids are used for the construction of an initial approximation on finer grid. After a rather small number of iterations high accuracy is obtained. Numerical results are given for the two-dimensional Laplace equation.

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References

  1. V. Pereyra,Accelerating the Convergence of Discretization Algorithms, SIAM J., Numer. Anal., Vol 4, No 4, 1967.

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  3. E. L. Wachspress,Iterative Solution of Elliptic Systems and Applications to the Neutron Diffusion Equations of Reactor Physics, Prentice Hall.

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Authors and Affiliations

  1. Computer Centre, University of Birmingham, B 15 2 TT, Birmingham, England

    Lydia Kronsjö & Germund Dahlquist

  2. Department for Information Processing, The Royal Institute of Technology, S-100 44, Stockholm 70, Sweden

    Lydia Kronsjö & Germund Dahlquist

Authors
  1. Lydia Kronsjö
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  2. Germund Dahlquist
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Kronsjö, L., Dahlquist, G. On the design of nested iterations for elliptic difference equations. BIT 12, 63–71 (1972). https://doi.org/10.1007/BF01932674

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  • DOI: https://doi.org/10.1007/BF01932674

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