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Zbl 0771.76033
Behr, Marek A.; Franca, Leopoldo P.; Tezduyar, Tayfun E.
Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows.
(English)
[J] Comput. Methods Appl. Mech. Eng. 104, No.1, 31-48 (1993). ISSN 0045-7825

Summary: Formulated in terms of velocity, pressure and the extra stress tensor, the incompressible Navier-Stokes equations are discretized by stabilized finite element methods. The stabilized methods proposed are analyzed for a linear model and extended to the Navier-Stokes equations. The numerical tests performed confirm the good stability characteristics of the methods. These methods are applicable to various combinations of interpolation functions, including the simplest equal-order linear and bilinear elements.
MSC 2000:
*76M10 Finite element methods
76D05 Navier-Stokes equations (fluid dynamics)
65N30 Finite numerical methods (BVP of PDE)

Keywords: linear model; stability; interpolation functions; equal-order linear and bilinear elements

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