scholarly journals Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes

2014 ◽  
Vol 130 (2) ◽  
pp. 225-256 ◽  
Author(s):  
F. Guillén-González ◽  
J. R. Rodríguez-Galván
Keyword(s):  
Finite Element ◽  
Stokes Problem ◽  
Finite Element Approximation ◽  
Unstructured Meshes ◽  
Element Approximation

MINIMAL STABILIZATIONS OF THE Pk+1-Pk APPROXIMATION OF THE STATIONARY STOKES EQUATIONS

1995 ◽  
Vol 05 (02) ◽  
pp. 213-224 ◽  
Author(s):  
D. BOFFI
Keyword(s):  
Finite Element ◽  
Stokes Equations ◽  
Stokes Problem ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Stabilization Method ◽  
Triangular Finite Element ◽  
Piecewise Polynomials

The triangular finite element approximation of the Stokes problem is analyzed by means of piecewise polynomials of degree k+1 for the velocity and discontinuous of degree k for the pressure. The known results are recalled, with particular interest in the restrictions required for the triangulation and in the stabilization procedures. A new less expensive stabilization method is proposed.

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