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Optimized Schwarz method for the Stokes–Darcy problem with generalized interface conditions.

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Title: Optimized Schwarz method for the Stokes–Darcy problem with generalized interface conditions.
Authors: Strohbeck, Paula1 (AUTHOR) Paula.Strohbeck@ians.uni-stuttgart.de, Discacciati, Marco2 (AUTHOR) M.Discacciati@lboro.ac.uk, Rybak, Iryna1 (AUTHOR) iryna.rybak@ians.uni-stuttgart.de
Source: Journal of Computational & Applied Mathematics. May2026, Vol. 477, pN.PAG-N.PAG. 1p.
Subjects: Domain decomposition methods, Fourier analysis, Computer simulation, Algorithms, Boundary value problems, Stokes equations
Abstract: Due to their wide appearance in environmental settings as well as industrial and medical applications, the Stokes–Darcy problems with different sets of interface conditions establish an active research area in the community of mathematical modelers and computational scientists. For numerical simulation of such coupled problems in applications, robust and efficient computational algorithms are needed. In this work, we consider a generalization of the Beavers–Joseph interface condition recently developed using homogenization and boundary layer theory. This extension is applicable not only for the parallel flows to the fluid–porous interface as its predecessor, but also for arbitrary flow directions. To solve the Stokes–Darcy problem with these generalized interface conditions efficiently, we develop and analyze a Robin–Robin domain decomposition method using Fourier analysis to identify optimal weights in the Robin interface conditions. We study efficiency and robustness of the proposed method and provide numerical simulations which confirm the obtained theoretical results. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. 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.)
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  Data: Optimized Schwarz method for the Stokes–Darcy problem with generalized interface conditions.
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  Data: <searchLink fieldCode="AR" term="%22Strohbeck%2C+Paula%22">Strohbeck, Paula</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> Paula.Strohbeck@ians.uni-stuttgart.de</i><br /><searchLink fieldCode="AR" term="%22Discacciati%2C+Marco%22">Discacciati, Marco</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> M.Discacciati@lboro.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Rybak%2C+Iryna%22">Rybak, Iryna</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> iryna.rybak@ians.uni-stuttgart.de</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Computational+%26+Applied+Mathematics%22">Journal of Computational & Applied Mathematics</searchLink>. May2026, Vol. 477, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Domain+decomposition+methods%22">Domain decomposition methods</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+analysis%22">Fourier analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Stokes+equations%22">Stokes equations</searchLink>
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  Label: Abstract
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  Data: Due to their wide appearance in environmental settings as well as industrial and medical applications, the Stokes–Darcy problems with different sets of interface conditions establish an active research area in the community of mathematical modelers and computational scientists. For numerical simulation of such coupled problems in applications, robust and efficient computational algorithms are needed. In this work, we consider a generalization of the Beavers–Joseph interface condition recently developed using homogenization and boundary layer theory. This extension is applicable not only for the parallel flows to the fluid–porous interface as its predecessor, but also for arbitrary flow directions. To solve the Stokes–Darcy problem with these generalized interface conditions efficiently, we develop and analyze a Robin–Robin domain decomposition method using Fourier analysis to identify optimal weights in the Robin interface conditions. We study efficiency and robustness of the proposed method and provide numerical simulations which confirm the obtained theoretical results. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Computational & Applied Mathematics is the property of Elsevier B.V. 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: 10.1016/j.cam.2025.117141
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Domain decomposition methods
        Type: general
      – SubjectFull: Fourier analysis
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Boundary value problems
        Type: general
      – SubjectFull: Stokes equations
        Type: general
    Titles:
      – TitleFull: Optimized Schwarz method for the Stokes–Darcy problem with generalized interface conditions.
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            NameFull: Strohbeck, Paula
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            NameFull: Discacciati, Marco
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            NameFull: Rybak, Iryna
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            – D: 15
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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              Value: 477
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