AILU preconditioning for the finite element formulation of the incompressible Navier--Stokes equations

DOI10.1016/S0045-7825(02)00369-9zbMath1015.76048OpenAlexW1966891888MaRDI QIDQ1867589

H. G. Choi, Y. S. Nam, Jung Yul Yoo

Publication date: 2 April 2003

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(02)00369-9

zbMATH Keywords

eigenvalue distributionadapted incomplete LU preconditionersP2P1 mixed finite elementthree-dimensional unsteady incompressible Navier-Stokes equationsvariable reordering method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

• Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems
• Direct simulation of fluid particle motions
• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• 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
• Numerical Solution of the Navier-Stokes Equations
• A frontal solution program for finite element analysis
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