@article{69a645cc0d8148328f336bc13a40e1cd,
title = "Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density",
abstract = "In this paper we analyze the convergence properties of a new fractional time-stepping technique for the solution of the variable density incompressible Navier-Stokes equations. The main feature of this method is that, contrary to other existing algorithms, the pressure is determined by just solving one Poisson equation per time step. First-order error estimates are proved, and stability of a formally second-order variant of the method is established. {\textcopyright} 2011 Society for Industrial and Applied Mathematics.",
author = "J.-L. Guermond and Salgado, {Abner J.}",
note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUS-C1-016-04 Acknowledgements: Received by the editors August 21, 2009; accepted for publication (in revised form) February 28, 2011; published electronically May 10, 2011. This publication is based on work supported by King Abdullah University of Science and Technology (KAUST) award KUS-C1-016-04.Department of Mathematics, Texas A&M University, College Station, TX 77843-3368 (guermond@math.tamu.edu). This author's work was partially supported by National Science Foundation grant NSF-DMS (0713829). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",
year = "2011",
month = jan,
doi = "10.1137/090768758",
language = "English (US)",
volume = "49",
pages = "917--944",
journal = "SIAM Journal on Numerical Analysis",
issn = "0036-1429",
publisher = "Society for Industrial and Applied Mathematics",
number = "3",
}