Literature Reference for Stabilized Stokes Flow

Question

Dear all,

I would like to know the literature reference for the stabilized Stokes flow equations as presented in the FEniCS Documentation. I have been searching, however it seems there are many different stabilization techniques out there. If possible, I would like to know the reference for the exact technique used in the linked example.

Thank you in advance.

Answer 1

Hi, have a look here. You may want to google pressure stabilized stokes.

Answer 2

T. J. R. Hughes, L. P. Franca, and M. Balestra, A new finite element formulation
for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: a
stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order
interpolations, Computer Methods in Applied Mechanics and Engineering 59 (1986),
85–99.