An efficient semi-coarsening multigrid method for variable diffusion problems in cylindrical coordinates
type: Item
instance of: scholarly article
title: An efficient semi-coarsening multigrid method for variable diffusion problems in cylindrical coordinates
zbMATH Open document ID: 1118.65128
author: Ming-Chih Lai
author: Chin-Tien Wu
author: Yu-Hou Tseng
published in: Applied Numerical Mathematics
publication date: 2007-05-30T00:00:00Z
review text: The authors present an efficient mulgrid (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, the authors futher semi-coarsen the axial direction with red-black line relaxation in the radial direction. They 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.
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 5159511
zbMATH Keywords: V-cycle
zbMATH Keywords: cylindrical coordinates
zbMATH Keywords: Gauss-Seidel relaxation
zbMATH Keywords: variable coefficient diffusion equation
zbMATH Keywords: convergence
zbMATH Keywords: numerical results
reviewed by: Peter P. Matus
describes a project that uses: FISHPAK
MaRDI profile type: Publication
full work available at URL: j.apnum.2006.07.019
OpenAlex ID: W2033476331
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DOI: 10.1016/J.APNUM.2006.07.019
description: scientific article; zbMATH DE number 5159511