Analysis of algebraic multigrid parameters for two-dimensional steady-state heat diffusion equations

Simulation and optimization of Al–Fe aerospace alloy processed by laser surface remelting using geometric Multigrid solver and experimental validation

“…From this study, it was verified that a small variation in the number of inner iterations increases drastically the CPU time. This result was corroborated by Suero et al [32] and Gaspar et al [38]. However, it must be noticed that both groups of authors studied only the Laplace equation.…”

“…Some authors like Suero et al [32], Oliveira et al [33], Pinto [34] and Rabi and De Lemos [35] also analyzed the number of levels for problems involving Multigrid method. Figure 11 shows the comparison among the problems with number levels among L = 1 (Singlegrid) and L = 15.…”

“…However, it must be noticed that both groups of authors studied only the Laplace equation. Suero et al [32] employed the AMG method and Gaspar et al [38] employed the GMG one.…”

The Effect of Multigrid Parameters in a 3D Heat Diffusion Equation

“…Some authors, such as Suero et al [11] and Gaspar [22], have also analyzed the number of grid levels for problems involving the multigrid method. In the previous subsections, the number of grids used for the multigrid was kept invariable and equal to max L .…”

“…Oliveira et al [10] investigated types of coarsening rates for heat diffusion problems and anisotropic grids by using Poisson's and Laplace's equation. Suero et al [11] analyzed algebraic multigrid parameters for two-dimensional steady-state heat diffusion equations.…”