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]
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Database: Engineering Source
Description
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]
ISSN:08857474
DOI:10.1007/s10915-026-03295-8