Robust block preconditioners for poroelasticity

Shuangshuang Chen; Qingguo Hong; Jinchao Xu; Kai Yang

doi:10.1016/j.cma.2020.113229

Robust block preconditioners for poroelasticity

Shuangshuang Chen, Qingguo Hong, Jinchao Xu, Kai Yang

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English (US)
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	369
DOIs	https://doi.org/10.1016/j.cma.2020.113229
State	Published - Sep 1 2020
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy
Mechanics of Materials
Mechanical Engineering
Computational Mechanics
Computer Science Applications

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10.1016/j.cma.2020.113229

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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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T1 - Robust block preconditioners for poroelasticity

AU - Chen, Shuangshuang

AU - Hong, Qingguo

AU - Xu, Jinchao

AU - Yang, Kai

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PY - 2020/9/1

Y1 - 2020/9/1

N2 - 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.

AB - 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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VL - 369

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

ER -

Robust block preconditioners for poroelasticity

Abstract

ASJC Scopus subject areas

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