Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows

Journal Article (2020)
Author(s)

Xin He (Institute of Computing Technology Chinese Academy of Sciences)

C. Vuik (TU Delft - Numerical Analysis)

Research Group
Numerical Analysis
Copyright
© 2020 Xin He, Cornelis Vuik
DOI related publication
https://doi.org/10.1016/j.jcp.2020.109286
More Info
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Publication Year
2020
Language
English
Copyright
© 2020 Xin He, Cornelis Vuik
Research Group
Numerical Analysis
Bibliographical Note
Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.@en
Volume number
408
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Abstract

This paper introduces three new Schur complement approximations for the augmented Lagrangian preconditioner. The incompressible Navier-Stokes equations discretized by a stabilized finite element method are utilized to evaluate these new approximations of the Schur complement. A wide range of numerical experiments in the laminar context determines the most efficient Schur complement approximation and investigates the effect of the Reynolds number, mesh anisotropy and refinement on the optimal choice. Furthermore, the advantage over the traditional Schur complement approximation is exhibited.

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