Two-colour Fourier analysis of the multigrid method with red-black Gauss- Seidel smoothing
A two-colour Fourier analytical approach is proposed to analyze the multigrid method which employs the red-black Gauss-Seidel smoothing iteration for solving the Poisson equation. The examples are considered in one and two dimension to clarify the physical meaning of this phenomenon. The coupling effect existing between the low- and high- wavenumber components of the solution is explained.
red-black Gauss-Seidel smoothing iteration
scientific article; zbMATH DE number 4084924
scientific article