科研成果详情

In this article, a locally stabilized finite element formulation of the two-dimensional Navier-Stokes problem is used. A macroelement condition which provides the stability of the Q1 -P0 quadrilateral element and the P1 -P0 triangular element is introduced. Moreover, the H1 and L2-error estimates of optimal order for finite element solution (uh,ph,) are analyzed. Finally, a uniform H1 and L2-error estimates of optimal order for finite element solution (uh, ph) is obtained if the uniqueness condition is satisfied.