An efficient multigrid solver for a reformulated version of the poroelasticity system
An efficient multigrid solver for a reformulated version of the poroelasticity system
复制标题
用于孔隙弹性系统重构版本的高效多重网格求解器
DOI：
10.1016/j.cma.2006.03.020
复制
发表时间：
2007
影响因子：
7.2
通讯作者：
P. Vabishchevich
中科院分区：
文献类型：
--
作者：
F. Gaspar;F. Lisbona;C. Oosterlee;P. Vabishchevich
在本文中，我们提出了一种稳健且高效的多重网格求解器，用于孔隙弹性方程组的变换版本。这种转变使我们能够以解耦的方式对待系统。我们证明，变换归结为迭代方案中的稳定项，并且原始问题的解与变换后问题的解相同。可以开发一种高效的多重网格方法，并通过数值实验得到证实。
In this paper, we present a robust and efficient multigrid solver for a transformed version of the system of poroelasticity equations. The transformation enables us to treat the system in a decoupled fashion. We show that the transformation boils down to a stabilization term in the iterative scheme, and that the solution of the original problem is identical to the solution of the transformed problem. A highly efficient multigrid method can be developed, confirmed by numerical experiments.