Comparison of Second and Fourth Order Discretizations for Multigrid Poisson Solvers

  title={Comparison of Second and Fourth Order Discretizations for Multigrid Poisson Solvers},
  author={Murli M. Gupta and Jules Kouatchou},
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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