Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem
2013
Abstract
We consider a class of local projection stabilizations with projection spaces defined on (possibly) overlapping sets applied to the Oseen problem. We prove that the underlying bilinear form satisfies an inf-sup condition with respect to a stronger norm than coercivity suggests.
A modification of the stabilization of the convection allows an optimal estimation of the consistency error. A priori estimates in the stronger norm and in the L2 norm for the pressure are established.
Discontinuous pressure approximations are included in the analysis.