A systematic comparison of coupled and distributive smoothing in multigrid for the poroelasticity system

SUMMARY 9 In this paper, we present ecient multigrid methods for the system of poroelasticity equations discretized on a staggered grid. In particular, we compare two dierent smoothing approaches with respect to 11 eciency and robustness. One approach is based on the coupled relaxation philosophy. We introduce 'cell-wise' and 'line-wise' versions of the coupled smoothers. They are compared with a distributive 13 relaxation, that gives us a decoupled system of equations. It can be smoothed equation-wise with basic iterative methods. All smoothing methods are evaluated for the same poroelasticity test problems in 15 which parameters, like the time step, or the Lame coecients are varied. Some highly ecient methods result, as is conrmed by the numerical experiments. Copyright ? 2004 John Wiley & Sons, Ltd. 17 19

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