Abstract
Employing inf-sup stable mixed finite elements to solve Stokes-like problems may seem to be a cumbersome constraint. The goal of this chapter is to show that it is possible to work with pairs of finite elements that do not satisfy the inf-sup condition provided the Galerkin formulation is slightly modified. This is done by extending to the Stokes problem the stabilization techniques that have been presented in the previous chapters. Although all these techniques can be adapted to the Stokes problem, for brevity we only exemplify three of them. We focus on the Galerkin/least-squares method (GaLS) in this chapter. The continuous interior penalty and the discontinuous Galerkin methods are investigated in the next chapter.
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