References for Stabilization Techniques
1.
O.C. Zienkiewicz, R.L. Taylor, and P. Nithiarasu,
The Finite Element Method for Fluid Dynamics
, 6th ed., Elsevier, 2005.
2.
R. Codina, “Comparison of Some Finite Element Methods for Solving the Diffusion-Convection-Reaction Equation”,
Comput. Methods Appl. Mech. Engrg.
, vol. 156, pp. 185–210, 1998.
3.
C. Johnson,
Numerical Solution of Partial Differential Equations by the Finite Element Method
, Student literature, 1987.
4.
G. Hauke, “A Simple Subgrid Scale Stabilized Method for the Advection-Diffusion-Reaction Equation”,
Comput. Methods Appl. Mech. Engrg.
, vol. 191, pp. 2925–2947, 2002.
5.
G. Hauke and T.J.R. Hughes, “A comparative study of different sets of variables for solving compressible and incompressible flows”,
Computer Methods in Applied Mechanics and Engineering,
vol. 153, pp. 1–44, 1998.
6.
E.G.D. do Carmo and A.C. Galeão, “Feedback Petrov-Galerkin methods for convection-dominated problems”,
Computer Methods in Applied Mechanics and Engineering
, vol. 88, pp. 1–16, 1991.
7.
E.G.D. do Carmo and G.B. Alvarez, “A new upwind function in stabilized finite element formulations, using linear and quadratic elements for scalar convection-diffusion problems”,
Computer Methods in Applied Mechanics and Engineering
, vol. 193, pp. 2383–2402, 2004.