A priori pivoting in incomplete Gaussian preconditioning for iterative solution of mixed finite-element formulation of the Navier-Stokes equations

DOI10.1016/S0045-7825(00)00292-9zbMath0974.76048OpenAlexW2059826597WikidataQ127909322 ScholiaQ127909322MaRDI QIDQ5938289

S. O. Wille, Abimael Fernando Dourado Loula

Publication date: 18 July 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(00)00292-9

zbMATH Keywords

incompressible Navier-Stokes equationspreconditionerdriven cavity problemincomplete Gaussian factorizationiterative solversmixed finite-element equation systemnon-positive definite algebraic systemspriori pivoting sequences

Mathematics Subject Classification ID

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

Related Items (2)

Block and full matrix ILU preconditioners for parallel finite element solvers ⋮ Efficient a priori pivoting schemes for a sparse direct Gaussian equation solver for the mixed finite element formulation of the Navier-Stokes equations

Uses Software

• CGS

Cites Work

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• An ILU preconditioner with coupled node fill-in for iterative solution of the mixed finite element formulation of the 2D and 3D Navier-Stokes equations
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• On the use of adaptive hierarchical meshes for numerical simulation of separated flows

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