An efficient semi-coarsening multigrid method for variable diffusion problems in cylindrical coordinates

Ming-Chih Lai*, Chin-Tien Wu, Yu Hou Tseng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper, we present an efficient multigrid (MG) algorithm for solving the three-dimensional variable coefficient diffusion equation in cylindrical coordinates. The multigrid V-cycle combines a semi-coarsening in azimuthal direction with the red-black Gauss-Seidel plane (radial-axial plane) relaxation. On each plane relaxation, we further semi-coarsen the axial direction with red-black line relaxation in the radial direction. We also prove the convergence of two-level MG with plane Jacobi relaxation. Numerical results show that the present multigrid method indeed is scalable with the mesh size.

Original languageEnglish
Pages (from-to)801-810
Number of pages10
JournalApplied Numerical Mathematics
Volume57
Issue number5-7 SPEC. ISS.
DOIs
StatePublished - 1 May 2007

Keywords

  • Cylindrical coordinates
  • Multigrid method
  • V-cycle
  • Variable diffusion equation

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