A Note on the Consistency and Stability Properties of Yosida Fractional Step Schemes for the Unsteady Stokes Equations

In this short note we give some improvements to the stability and consistency analysis of algebraic splitting methods for solving the incompressible fluid equations carried out in [1]. In particular, we generalize to any value of the approximation index p ∈ N Proposition 3.1 and Lemma 3.2 of [1] on the consistency error associated with the algebraic splitting, originally proved for p = 0, 1, 2. Moreover, we remove an assumption of Lemma 3.5 of [1].