An Efficient Multigrid Solver based on Distributive Smoothing for Poroelasticity Equations

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

• Type: Journal
• Year: 2004
• Where: COMPUTING
• Authors: R. Wienands, Francisco J. Gaspar, Francisco J. Lisbona, Cornelis W. Oosterlee
• Keywords: COMPUTING 2004, Distributive, Distributive Relaxation, Multigrid Method