Geodesic
Convergence rate estimates for a projection-difference scheme as applied to the nonstationary stokes equation in cylindrical coordinates
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 908-922

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An implicit projection-difference scheme is constructed for the nonstationary Stokes equation in cylindrical coordinates. No axial symmetry is assumed. Under minimal assumptions about the initial data, convergence rate estimates are obtained that are uniform in the inner radius of the domain of order $(\tau^{1/2}+h)^\alpha$, $\alpha=1$, $2$. The results remain valid for domains with no hole and in the case of Cartesian coordinates. 
@article{ZVMMF_2010_50_5_a9,
     author = {E. I. Aksenova},
     title = {Convergence rate estimates for a projection-difference scheme as applied to the nonstationary stokes equation in cylindrical coordinates},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {908--922},
     publisher = {mathdoc},
     volume = {50},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a9/}
}
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E. I. Aksenova. Convergence rate estimates for a projection-difference scheme as applied to the nonstationary stokes equation in cylindrical coordinates. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 908-922. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a9/