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<p>In this study, we examine domain decomposition methods for coupled viscous incompressible Stokes problems under a Signorini-type interface condition. We establish a well-posedness theory for the associated variational inequality. We propose four domain decomposition algorithms: the Signorini–Dirichlet decomposition algorithm, the Unilateral-Uzawa–Dirichlet decomposition algorithm, the Active/Inactive set Dirichlet-type decomposition algorithm, and the Active/Inactive set Robin-type decomposition algorithm. We conduct convergence analysis and numerical experiments on the above algorithms.</p>

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The Domain Decomposition Methods for the Coupled Stokes Flows under the Signorini-Type Interface Condition

  • 期刊论文

  • 发表日期：

    2026年4月25日

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  • Yangyang Song,
  • Ping Zeng,
  • Guanyu Zhou

摘要

In this study, we examine domain decomposition methods for coupled viscous incompressible Stokes problems under a Signorini-type interface condition. We establish a well-posedness theory for the associated variational inequality. We propose four domain decomposition algorithms: the Signorini–Dirichlet decomposition algorithm, the Unilateral-Uzawa–Dirichlet decomposition algorithm, the Active/Inactive set Dirichlet-type decomposition algorithm, and the Active/Inactive set Robin-type decomposition algorithm. We conduct convergence analysis and numerical experiments on the above algorithms.