On the parameter in augmented Lagrangian preconditioning for isogeometric discretizations of the Navier-Stokes equations.

DOI10.21136/AM.2022.0130-21OpenAlexW4213293974MaRDI QIDQ2093341

Hana Horníková, Jiří Egermaier

Publication date: 7 November 2022

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/am.2022.0130-21

zbMATH Keywords

Navier-Stokes equationsisogeometric analysisaugmented Lagrangian preconditioner

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Preconditioners for iterative methods (65F08)

Uses Software

• Eigen
• G+Smo
• GitHub

Cites Work

• Unnamed Item
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Isogeometric analysis for turbulent flow
• \(p\)-multigrid methods and their comparison to \(h\)-multigrid methods within isogeometric analysis
• Finite Elements and Fast Iterative Solvers
• Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations
• SIMPLE-type preconditioners for the Oseen problem
• The Krylov accelerated SIMPLE(R) method for flow problems in industrial furnaces
• A Note on Preconditioning for Indefinite Linear Systems
• Isogeometric Analysis
• A Preconditioner for the Steady-State Navier--Stokes Equations
• An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier--Stokes Equations at High Reynolds Number
• An Augmented Lagrangian‐Based Approach to the Oseen Problem
• Block Preconditioners Based on Approximate Commutators
• Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow

This page was built for publication: On the parameter in augmented Lagrangian preconditioning for isogeometric discretizations of the Navier-Stokes equations.