论文标题
强大的块状核弹性
Robust block preconditioners for poroelasticity
论文作者
论文摘要
在本文中，我们研究了由离散的毛弹性问题引起的线性系统。我们在统一的关系框架和预处理之间的统一关系框架下，为两文件的生物模型和几个预处理制定了一个块预处理。通过统一理论，我们显示了所有考虑的预定器在材料和离散参数方面都是最佳的。数值测试证明了这些预处理的鲁棒性。
In this paper we study the linear systems arising from discretized poroelasticity problems. We formulate one block preconditioner for the two-filed Biot model and several preconditioners for the classical three-filed Biot model under the unified relationship framework between well-posedness and preconditioners. By the unified theory, we show all the considered preconditioners are uniformly optimal with respect to material and discretization parameters. Numerical tests demonstrate the robustness of these preconditioners.
