[2310.16216] An augmented Lagrangian-based preconditioning technique for a class of block three-by-three linear systems
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Mathematics > Numerical Analysis

arXiv:2310.16216 (math)
[Submitted on 24 Oct 2023]

Title:An augmented Lagrangian-based preconditioning technique for a class of block three-by-three linear systems

Authors:Fatemeh P. A. Beik, Michele Benzi
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Abstract:We propose an augmented Lagrangian-based preconditioner to accelerate the convergence of Krylov subspace methods applied to linear systems of equations with a block three-by-three structure such as those arising from mixed finite element discretizations of the coupled Stokes-Darcy flow problem. We analyze the spectrum of the preconditioned matrix and we show how the new preconditioner can be efficiently applied. Numerical experiments are reported to illustrate the effectiveness of the preconditioner in conjunction with flexible GMRES for solving linear systems of equations arising from a 3D test problem.
Subjects: Numerical Analysis (math.NA)
MSC classes: 65F10
Cite as: arXiv:2310.16216 [math.NA]
  (or arXiv:2310.16216v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2310.16216

Submission history

From: Fatemeh Panjeh Ali Beik [view email]
[v1] Tue, 24 Oct 2023 22:14:19 UTC (179 KB)
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