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DOE OSTI · 1803912

Robust block preconditioners for poroelasticity

Chen, Shuangshuang·Hong, Qingguo·Xu, Jinchao·Yang, Kai
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Abstract

In this paper we develop and analyze several preconditioners for the linear systems arising from discretized poroelasticity problems. The preconditioners include one block preconditioner for the two-field Biot model and several preconditioners for the classical three-field Biot model. We manage to analyze these different preconditioners under a same theoretical framework and show that all of them are uniformly optimal with respect to material and discretization parameters. Numerical tests demonstrate the robustness of these preconditioners.

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42 ENGINEERINGBiot modelporoelasticityrobust block preconditionersstable finite element method

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Chen, Shuangshuang, Hong, Qingguo, Xu, Jinchao, Yang, Kai. 2020-07-03. Robust block preconditioners for poroelasticity. https://doi.org/10.1016/j.cma.2020.113229

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