Print Email Facebook Twitter Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows Title Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows Author He, Xin (Institute of Computing Technology Chinese Academy of Sciences) Vuik, Cornelis (TU Delft Numerical Analysis) Date 2020-05-01 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. Subject Augmented Lagrangian preconditionerBlock structured preconditionersNavier-Stokes equationsSchur complement approximationsStabilized finite element method To reference this document use: http://resolver.tudelft.nl/uuid:d8d901c5-b19e-4ba1-a14e-7ad0b47c54b0 DOI https://doi.org/10.1016/j.jcp.2020.109286 Embargo date 2020-07-01 ISSN 0021-9991 Source Journal of Computational Physics, 408 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. Part of collection Institutional Repository Document type journal article Rights © 2020 Xin He, Cornelis Vuik Files PDF 1_s2.0_S0021999120300607_main.pdf 1.28 MB Close viewer /islandora/object/uuid:d8d901c5-b19e-4ba1-a14e-7ad0b47c54b0/datastream/OBJ/view