Globalization strategies for Newton-Krylov methods for stabilized FEM discretization of Navier-Stokes equations

DOI10.1016/j.jcp.2007.07.021zbMath1388.76122OpenAlexW2027631765MaRDI QIDQ2458628

Stefano Berrone, Stefania Bellavia

Publication date: 1 November 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.07.021

zbMATH Keywords

finite element methodsglobalization strategyInexact Newton methodsnumerical Navier-Stokes equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Inexact Newton methods for model simulation, Preconditioning PDE-constrained optimization with \(L^1\)-sparsity and control constraints, An Implicit Staggered Hybrid Finite Volume/Finite Element Solver for the Incompressible Navier-Stokes Equations, A Jacobian-free approximate Newton-Krylov startup strategy for RANS simulations, A space-time discontinuous Galerkin method for Boussinesq-type equations, New updates of incomplete LU factorizations and applications to large nonlinear systems

Uses Software

• NITSOL
• PETSc
• KELLEY

Cites Work

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