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Zbl 1132.35436
Li, Jian; He, Yinnian
A stabilized finite element method based on two local Gauss integrations for the Stokes equations. (English)
[J] J. Comput. Appl. Math. 214, No. 1, 58-65 (2008). ISSN 0377-0427

Summary: This paper considers a stabilized method based on the difference between a consistent and an under-integrated mass matrix of the pressure for the Stokes equations approximated by the lowest equal-order finite element pairs. This method offsets only the discrete pressure space by subtracting the simple and symmetrical term at element level in order to circumvent the inf-sup condition. Optimal error estimates are obtained by applying the standard Galerkin technique. Finally, the numerical illustrations are presented completely in agree with the theoretical expectations.

MSC 2000:: *35Q30 Stokes and Navier-Stokes equations
65N30 Finite numerical methods (BVP of PDE)
76D05 Navier-Stokes equations (fluid dynamics)
76M10 Finite element methods

Keywords: Stokes equations; penalty method; stable Galerkin method; inf-sup condition

Cited in: Zbl pre06130454

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