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

Journal article (2020)

Authors

Xin He Institute of Computing Technology Chinese Academy of Sciences

Cornelis Vuik Numerical Analysis -

Research Group

Numerical Analysis () (TU Delft)

DOI: https://doi.org/10.1016/j.jcp.2020.109286

Navier-Stokes equations Augmented Lagrangian preconditioner Block structured preconditioners Schur complement approximations Stabilized finite element method

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http://resolver.tudelft.nl/uuid:d8d901c5-b19e-4ba1-a14e-7ad0b47c54b0

Published Date

01-05-2020

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Numerical Analysis

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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