A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution.

Roland Glowinski; O. Pironneau; M. O. Bristeau; B. Mantel; J. Periaux; P. Perrier

A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution.

Roland Glowinski, O. Pironneau, M. O. Bristeau, B. Mantel, J. Periaux, P. Perrier

Department of Mathematics

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

1 Citation (Scopus)

Abstract

The method is based on the folllowing techniques: a mixed finite element approximation acting on a pressure-velocity formulation of the problem, a time discretization by finite differences for the unsteady problem, and an iterative method using - via a convenient nonlinear least square formulation - a conjugate gradient algorithm with scaling ; the scaling makes a fundamental use of an efficient Stokes solver associated to the above mixed finite element approximation. The results of numerical experiments are presented and analyzed. (from authors abstract)

Original language	English
Title of host publication	Approximation methods for Navier-Stokes problems : proceedings of the symposium held by the International Union of Theoretical and Applied Mechanics (IUTAM) at the University of Paderborn
Publisher	Springer Verlag
ISBN (Print)	0387097341, 9780387097343
Publication status	Published - 1980
Event	International Union of Theoretical and Applied Mechanics (IUTAM) - University of Paderborn, Paderborn, Germany Duration: 9 Sept 1979 → 15 Sept 1979

Conference

Conference	International Union of Theoretical and Applied Mechanics (IUTAM)
Country/Territory	Germany
City	Paderborn
Period	9/09/79 → 15/09/79

Scopus Subject Areas

Engineering(all)

Cite this

Glowinski, R., Pironneau, O., Bristeau, M. O., Mantel, B., Periaux, J., & Perrier, P. (1980). A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution. In Approximation methods for Navier-Stokes problems : proceedings of the symposium held by the International Union of Theoretical and Applied Mechanics (IUTAM) at the University of Paderborn Springer Verlag.

Glowinski, Roland ; Pironneau, O. ; Bristeau, M. O. et al. / A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution. Approximation methods for Navier-Stokes problems : proceedings of the symposium held by the International Union of Theoretical and Applied Mechanics (IUTAM) at the University of Paderborn. Springer Verlag, 1980.

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title = "A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution.",

abstract = "The method is based on the folllowing techniques: a mixed finite element approximation acting on a pressure-velocity formulation of the problem, a time discretization by finite differences for the unsteady problem, and an iterative method using - via a convenient nonlinear least square formulation - a conjugate gradient algorithm with scaling ; the scaling makes a fundamental use of an efficient Stokes solver associated to the above mixed finite element approximation. The results of numerical experiments are presented and analyzed. (from authors abstract)",

author = "Roland Glowinski and O. Pironneau and Bristeau, {M. O.} and B. Mantel and J. Periaux and P. Perrier",

year = "1980",

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Glowinski, R, Pironneau, O, Bristeau, MO, Mantel, B, Periaux, J & Perrier, P 1980, A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution. in Approximation methods for Navier-Stokes problems : proceedings of the symposium held by the International Union of Theoretical and Applied Mechanics (IUTAM) at the University of Paderborn. Springer Verlag, International Union of Theoretical and Applied Mechanics (IUTAM), Paderborn, Germany, 9/09/79.

A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution. / Glowinski, Roland; Pironneau, O.; Bristeau, M. O. et al.
Approximation methods for Navier-Stokes problems : proceedings of the symposium held by the International Union of Theoretical and Applied Mechanics (IUTAM) at the University of Paderborn. Springer Verlag, 1980.

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

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T1 - A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution.

AU - Glowinski, Roland

AU - Pironneau, O.

AU - Bristeau, M. O.

AU - Mantel, B.

AU - Periaux, J.

AU - Perrier, P.

PY - 1980

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N2 - The method is based on the folllowing techniques: a mixed finite element approximation acting on a pressure-velocity formulation of the problem, a time discretization by finite differences for the unsteady problem, and an iterative method using - via a convenient nonlinear least square formulation - a conjugate gradient algorithm with scaling ; the scaling makes a fundamental use of an efficient Stokes solver associated to the above mixed finite element approximation. The results of numerical experiments are presented and analyzed. (from authors abstract)

AB - The method is based on the folllowing techniques: a mixed finite element approximation acting on a pressure-velocity formulation of the problem, a time discretization by finite differences for the unsteady problem, and an iterative method using - via a convenient nonlinear least square formulation - a conjugate gradient algorithm with scaling ; the scaling makes a fundamental use of an efficient Stokes solver associated to the above mixed finite element approximation. The results of numerical experiments are presented and analyzed. (from authors abstract)

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M3 - Conference proceeding

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SN - 9780387097343

BT - Approximation methods for Navier-Stokes problems : proceedings of the symposium held by the International Union of Theoretical and Applied Mechanics (IUTAM) at the University of Paderborn

PB - Springer Verlag

T2 - International Union of Theoretical and Applied Mechanics (IUTAM)

Y2 - 9 September 1979 through 15 September 1979

ER -

Glowinski R, Pironneau O, Bristeau MO, Mantel B, Periaux J, Perrier P. A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution. In Approximation methods for Navier-Stokes problems : proceedings of the symposium held by the International Union of Theoretical and Applied Mechanics (IUTAM) at the University of Paderborn. Springer Verlag. 1980

A finite element approximation of Navier-Stokes equations for incompressible viscous fluids. Iterative methods of solution.

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