chapter  20
10 Pages

A Bubble-Type Stabilization of the Q1/Q1-Element for Incompressible Flows

ByP. Knobloch, L. Tobiska

Starting with the unstable finite Q1/Q1 -element a general class of bubble-type spaces V2 h is constructed and used for enlarging the space V1 h approximating the velocity. It is shown that the new pair of spaces satisfies the Babuška-Brezzi condition. Using the techniques of reduced discretizations and static condensation some new and old stabilized schemes are obtained.