Comparison of Second and Fourth Order Discretizations for Multigrid Poisson Solvers

@inproceedings{Gupta1996ComparisonOS,
  title={Comparison of Second and Fourth Order Discretizations for Multigrid Poisson Solvers},
  author={Murli M. Gupta and Jules Kouatchou},
  year={1996}
}
We combine a compact high-order diierence approximation with multigrid V-cycle algorithm to solve the two dimensional Poisson equation with Dirichlet boundary conditions. This scheme, along with several diierent orderings of grid space and projection operators, is compared with the ve-point formula to show the dramatic improvement in computed accuracy, on serial and vector machines. 

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References

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Showing 1-10 of 21 references

Vectorized multigrid Poisson solver for the CDC CYBER 205

  • D. Barkai, A. Brandt
  • Appl. Math. Comput
  • 1983
Highly Influential
4 Excerpts

A note on multigrid for the three-dimensional Poisson equation in cylindrical coordinates

  • R. K. Iyengar, A. Goyal
  • J. Comput. Appl. Math
  • 1990
Highly Influential
3 Excerpts

Multigrid Methods: Fundamental Algorithms, Model Problem Analysis and Applications, monograph, GMD-Studien Nr

  • K. St uben, U. Trottenberg
  • St. Augustin
  • 1984
Highly Influential
5 Excerpts

Software development based on multigrid tech- niques, PDE software: modules, interfaces and systems, in Proc. IFIPWG2.5 Working Con- ference, (B

  • K. St uben, U Trottenberg, K. Witsch
  • Engquist and T. Smedsaas, eds.),
  • 1984
Highly Influential
6 Excerpts

An Introduction to Multigrid Methods, Pure and Appl

  • P. Wesseling
  • 1992
1 Excerpt

Cyclic reduction/multigrid, manuscript NA-92-14

  • G. Golub, R. Tuminaro
  • Numerical Analysis Project,
  • 1992

MUDPACK: multigrid portable FORTRAN software for the e cient solution of linear elliptic partial di erential equations

  • J. C. Admas
  • Appl. Math. Comput
  • 1989
1 Excerpt

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