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

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Title: The Domain Decomposition Methods for the Coupled Stokes Flows under the Signorini-Type Interface Condition.
Authors: Song, Yangyang1 (AUTHOR) 2915804120@qq.com, Zeng, Ping1 (AUTHOR) zeng_ping227@163.com, Zhou, Guanyu2 (AUTHOR) wind_geno@live.com
Source: Journal of Scientific Computing. Jun2026, Vol. 107 Issue 3, p1-33. 33p.
Subjects: Domain decomposition methods, Stokes flow, Uzawa-Lucas endogenous growth model
Abstract: 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. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Scientific Computing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 193277352
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PubTypeId: academicJournal
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  Label: Title
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  Data: The Domain Decomposition Methods for the Coupled Stokes Flows under the Signorini-Type Interface Condition.
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  Data: <searchLink fieldCode="AR" term="%22Song%2C+Yangyang%22">Song, Yangyang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> 2915804120@qq.com</i><br /><searchLink fieldCode="AR" term="%22Zeng%2C+Ping%22">Zeng, Ping</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zeng_ping227@163.com</i><br /><searchLink fieldCode="AR" term="%22Zhou%2C+Guanyu%22">Zhou, Guanyu</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> wind_geno@live.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Scientific+Computing%22">Journal of Scientific Computing</searchLink>. Jun2026, Vol. 107 Issue 3, p1-33. 33p.
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  Data: <searchLink fieldCode="DE" term="%22Domain+decomposition+methods%22">Domain decomposition methods</searchLink><br /><searchLink fieldCode="DE" term="%22Stokes+flow%22">Stokes flow</searchLink><br /><searchLink fieldCode="DE" term="%22Uzawa-Lucas+endogenous+growth+model%22">Uzawa-Lucas endogenous growth model</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Scientific Computing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1007/s10915-026-03295-8
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 33
        StartPage: 1
    Subjects:
      – SubjectFull: Domain decomposition methods
        Type: general
      – SubjectFull: Stokes flow
        Type: general
      – SubjectFull: Uzawa-Lucas endogenous growth model
        Type: general
    Titles:
      – TitleFull: The Domain Decomposition Methods for the Coupled Stokes Flows under the Signorini-Type Interface Condition.
        Type: main
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            NameFull: Song, Yangyang
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            NameFull: Zeng, Ping
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            NameFull: Zhou, Guanyu
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            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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              Value: 107
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            – TitleFull: Journal of Scientific Computing
              Type: main
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