A Sobolev gradient method for treating the steady-state incompressible Navier-Stokes equations

• Autorzy: Robert Renka
• Języki publikacji: EN

Abstrakty

EN

The velocity-vorticity-pressure formulation of the steady-state incompressible Navier-Stokes equations in two dimensions is cast as a nonlinear least squares problem in which the functional is a weighted sum of squared residuals. A finite element discretization of the functional is minimized by a trust-region method in which the trustregion radius is defined by a Sobolev norm and the trust-region subproblems are solved by a dogleg method. Numerical test results show the method to be effective.

Słowa kluczowe

EN

Finite element method; Least squares; Navier-Stokes; Sobolev gradient; Trust region

Kategorie tematyczne

• 65N30: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 4
• Strony: 630-641

Daty

wydano

2013-04-01

online

2013-01-29

Twórcy

autor

Robert Renka

• University of North Texas

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0201-4