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

• Autores: Ming-Chih Lai, Chin-Tien Wu, Yu-Hou Tseng
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 57, Nº. 5-7, 2007, págs. 801-810
• Idioma: inglés
• DOI: 10.1016/j.apnum.2006.07.019
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• Resumen

  • 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.