Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations

DOI10.1090/mcom/3411zbMath1416.65421OpenAlexW2904697410MaRDI QIDQ4629368

Mengying Xiao, Leo G. Rebholz, Alex Viguerie

Publication date: 22 March 2019

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

Full work available at URL: https://doi.org/10.1090/mcom/3411

zbMATH Keywords

algebraic splittingincompressible Navier-Stokesincremental Picard-Newtonincremental Picard-Yosidanonlinear iteration schemes

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (6)

Non-relaxed finite volume fractional step schemes for unsteady incompressible flows ⋮ Efficient and effective algebraic splitting‐based solvers for nonlinear saddle point problems ⋮ Anderson-Accelerated Convergence of Picard Iterations for Incompressible Navier--Stokes Equations ⋮ Unnamed Item ⋮ Improved convergence of the Arrow-Hurwicz iteration for the Navier-Stokes equation via grad-div stabilization and Anderson acceleration ⋮ New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis

Uses Software

• FreeFem++
• Aneurisk

Cites Work

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