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A simple pressure stabilization method for the Stokes equation

Roland Becker ; Peter Hansbo (Institutionen för matematiska vetenskaper, matematik)
Communications in Numerical Methods in Engineering (1069-8299). Vol. 24 (2008), 11, p. 1421-1430.
[Artikel, refereegranskad vetenskaplig]

In this paper, we consider a stabilization method for the Stokes problem, using equal-order interpolation of the pressure and velocity, which avoids the use of the mesh size parameter in the stabilization term. We show that our approach is stable for equal-order interpolation in the case of piecewise linear and piecewise quadratic polynomials on triangles. In the case of linear polynomials, we retrieve a well-known idea of using mass lumping as a stabilization mechanism.

Nyckelord: Stokes problem, equal-order interpolation, stabilization



Denna post skapades 2008-11-14. Senast ändrad 2016-08-15.
CPL Pubid: 77887

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Numerisk analys
Strömningsmekanik

Chalmers infrastruktur