Robust block preconditioners for poroelasticity

Shuangshuang Chen, Qingguo Hong, Jinchao Xu, Kai Yang

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Article number113229
JournalComputer Methods in Applied Mechanics and Engineering
Volume369
DOIs
StatePublished - Sep 1 2020

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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