Comparison of second- and fourth-order discretizations for multigrid poisson solvers

Murli M. Gupta; Jules Kouatchou; Jun Zhang

doi:10.1006/jcph.1996.5466

Comparison of second- and fourth-order discretizations for multigrid poisson solvers

Murli M. Gupta, Jules Kouatchou, Jun Zhang

Computer Science

Research output: Contribution to journal › Article › peer-review

106 Scopus citations

Abstract

We combine a compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions. This scheme, along with several different orderings of grid space and projection operators, is compared with the five-point formula to show the dramatic improvement in computed accuracy, on serial and vector machines.

Original language	English
Pages (from-to)	226-232
Number of pages	7
Journal	Journal of Computational Physics
Volume	132
Issue number	2
DOIs	https://doi.org/10.1006/jcph.1996.5466
State	Published - Apr 1997

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1006/jcph.1996.5466

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title = "Comparison of second- and fourth-order discretizations for multigrid poisson solvers",

abstract = "We combine a compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions. This scheme, along with several different orderings of grid space and projection operators, is compared with the five-point formula to show the dramatic improvement in computed accuracy, on serial and vector machines.",

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AU - Kouatchou, Jules

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N2 - We combine a compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions. This scheme, along with several different orderings of grid space and projection operators, is compared with the five-point formula to show the dramatic improvement in computed accuracy, on serial and vector machines.

AB - We combine a compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions. This scheme, along with several different orderings of grid space and projection operators, is compared with the five-point formula to show the dramatic improvement in computed accuracy, on serial and vector machines.

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Comparison of second- and fourth-order discretizations for multigrid poisson solvers

Abstract

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