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This work investigates the proper choices of spatial approximations for velocity and pressure in fractional-step projection methods. Numerical results obtained with classical finite element interpolations are presented. These tests confirm the role of the inf–sup LBB condition in non-incremental and incremental versions of the method for computing viscous incompressible flows. © 1998 John Wiley & Sons, Ltd.
Guermond et al. (Fri,) studied this question.