A parallel implementation of the modified augmented Lagrangian preconditioner for the incompressible Navier-Stokes equations

DOI10.1007/s11075-012-9655-xzbMath1426.76222OpenAlexW2104304172MaRDI QIDQ369452

Michele Benzi, Zhen Wang

Publication date: 24 September 2013

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9655-x

zbMATH Keywords

Oseen problempreconditioningsaddle point problemsKrylov subspace methodsmulticores

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10) Parallel numerical computation (65Y05)

Related Items

Block-preconditioners for the incompressible Navier-Stokes equations discretized by a finite volume method, Augmented Lagrangian preconditioner for large-scale hydrodynamic stability analysis, On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations, Parameter estimates for the relaxed dimensional factorization preconditioner and application to hemodynamics, An Exponential Time Integrator for the Incompressible Navier--Stokes Equation, Combining the Augmented Lagrangian Preconditioner with the Simple Schur Complement Approximation, Stabilized dimensional factorization preconditioner for solving incompressible Navier-Stokes equations, An assessment of some solvers for saddle point problems emerging from the incompressible Navier-Stokes equations, Teko: A Block Preconditioning Capability with Concrete Example Applications in Navier--Stokes and MHD, Unnamed Item

Uses Software

• AztecOO
• Trilinos
• IFISS
• ML
• LifeV
• Doxygen

Cites Work

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• Algorithm 866
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• An Augmented Lagrangian‐Based Approach to the Oseen Problem