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.
['R. Wien', 'Francisco José Gaspar', 'Francisco Javier Lisbona', 'Cornelis W. Oosterlee']
An Efficient Multigrid Solver based on Distributive Smoothing for Poroelasticity Equations