Efficient a priori pivoting schemes for a sparse direct Gaussian equation solver for the mixed finite element formulation of the Navier–Stokes equations

Applied Mathematical Modelling ◽

10.1016/j.apm.2003.11.001 ◽

2004 ◽

Vol 28 (7) ◽

pp. 607-616 ◽

Author(s):

S.Ø. Wille ◽

Ø. Staff ◽

A.F.D. Loula

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

A Priori ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations

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

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(00)00292-9 ◽

2001 ◽

Vol 190 (29-30) ◽

pp. 3735-3747 ◽

Author(s):

S.Ø. Wille ◽

A.F.D. Loula

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

A Priori ◽

Iterative Solution ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations

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Parallel ILU preconditioning,a priori pivoting and segregation of variables for iterative solution of the mixed finite element formulation of the Navier-Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.477 ◽

2003 ◽

Vol 41 (9) ◽

pp. 977-996 ◽

Author(s):

S. �. Wille ◽

�. Staff ◽

A. F. D. Loula

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

A Priori ◽

Iterative Solution ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

Ilu Preconditioning

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A preconditioned alternating inner-outer iterative solution method for the mixed finite element formulation of the Navier-Stokes equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650181202 ◽

1994 ◽

Vol 18 (12) ◽

pp. 1135-1151 ◽

Author(s):

S. Ø. Wille

Keyword(s):

Finite Element ◽

Solution Method ◽

Stokes Equations ◽

Mixed Finite Element ◽

Iterative Solution ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

Iterative Solution Method

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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

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650150503 ◽

1992 ◽

Vol 15 (5) ◽

pp. 525-544 ◽

Author(s):

O. Dahl ◽

S. Ø Wille

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Iterative Solution ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

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A local solution adapted Tri-Tree multigrid generator and iterative equation solver for mixed finite element formulation of the Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(95)00949-3 ◽

1996 ◽

Vol 131 (1-2) ◽

pp. 109-132 ◽

Author(s):

S.Ø. Wille

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Local Solution ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

Iterative Equation

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A NON-LINEAR ADAPTIVE FULL TRI-TREE MULTIGRID METHOD FOR THE MIXED FINITE ELEMENT FORMULATION OF THE NAVIER-STOKES EQUATIONS

International Journal for Numerical Methods in Fluids ◽

10.1002/(sici)1097-0363(19970530)24:10<1037::aid-fld529>3.0.co;2-p ◽

1997 ◽

Vol 24 (10) ◽

pp. 1037-1047

Author(s):

Svenøivind Wille

Keyword(s):

Finite Element ◽

Multigrid Method ◽

Stokes Equations ◽

Mixed Finite Element ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

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A Tri-Tree multigrid recoarsement algorithm for the finite element formulation of the Navier-Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(95)00966-3 ◽

1996 ◽

Vol 135 (1-2) ◽

pp. 129-142 ◽

Author(s):

S.Ø. Wille

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations

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Space–time coupled spectral/hp least-squares finite element formulation for the incompressible Navier–Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2003.11.030 ◽

2004 ◽

Vol 197 (2) ◽

pp. 418-459 ◽

Author(s):

J.P. Pontaza ◽

J.N. Reddy

Keyword(s):

Finite Element ◽

Least Squares ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations

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A stream function-vorticity finite element formulation for Navier-Stokes equations in multi-connected domain

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620190909 ◽

1983 ◽

Vol 19 (9) ◽

pp. 1403-1409 ◽

Author(s):

Akira Mizukami

Keyword(s):

Finite Element ◽

Stream Function ◽

Connected Domain ◽

Stokes Equations ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations

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Implementation of a stabilized finite element formulation for the incompressible Navier-Stokes equations based on a pressure gradient projection

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.182 ◽

2001 ◽

Vol 37 (4) ◽

pp. 419-444 ◽

Author(s):

Ramon Codina ◽

Jordi Blasco ◽

Gustavo C. Buscaglia ◽

Antonio Huerta

Keyword(s):

Finite Element ◽

Pressure Gradient ◽

Stokes Equations ◽

Gradient Projection ◽

Finite Element Formulation ◽

Navier Stokes ◽

Element Formulation ◽

Navier Stokes Equations ◽

Stabilized Finite Element

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