In this paper, we present a robust distributive smoother in a multigrid method for the system of poroelasticity equations. Within the distributive framework, we deal with a decoupled system, that can be smoothed with basic iterative methods like an equation-wise red-black Jacobi point relaxation. The properties of the distributive relaxation are optimized with the help of Fourier smoothing analysis. A highly efficient multigrid method results, as is confirmed by Fourier two-grid analysis and numerical experiments. AMS Subject Classification: 65N55, 74F10, 74S10, 65M12 Key words: poroelasticity, staggered discretization, multigrid, distributive relaxation, local Fourier analysis
R. Wienands, Francisco J. Gaspar, Francisco J. Lis