Robust block preconditioners for poroelasticity

22 Jan 2020  ·  Chen Shuangshuang, Hong Qingguo, Xu Jinchao, Yang Kai ·

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. read more

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Numerical Analysis Numerical Analysis