@inbook{bb82d53d24ac460ab733d51dcf5a10da,
title = "Two decades of wave-like equation for the numerical simulation of incompressible viscous flow: A review",
abstract = "A wave-like equation based method for the numerical solution of the Navier-Stokes equations modeling incompressible viscous flow was introduced nearly twenty years ago. From its inception to nowadays it has been applied successfully to the numerical solution of two and three dimensional flow problems for incompressible Newtonian and non-Newtonian viscous fluids, in flow regions with fixed or moving boundaries. The main goals of this article are: (i) To recall the foundations of the wave-like equation methodology, and (ii) to review some typical viscous flow problems where it has been applied successfully.",
keywords = "Finite element approximations, Incompressible viscous flow, Operator splitting time discretization schemes, Wave-like equation method for the numerical treatment of the advection step",
author = "Roland GLOWINSKI and Pan, {Tsorng Whay}",
note = "Funding Information: Acknowledgements The authors of this article are thanking the editors of this volume, a very special thank being due to Marja-Leena Rantalainen, from the University of Jyv{\"a}skyl{\"a} in Finland, for her beautiful processing of this contribution. The support of the US National Science Foundation via grant DMS-1418308 is also acknowledged. Funding Information: The authors of this article are thanking the editors of this volume, a very special thank being due to Marja-Leena Rantalainen, from the University of Jyv{\"a}skyl{\"a} in Finland, for her beautiful processing of this contribution. The support of the US National Science Foundation via grant DMS-1418308 is also acknowledged.",
year = "2018",
month = jul,
day = "20",
doi = "10.1007/978-3-319-78325-3_13",
language = "English",
isbn = "9783319783246",
series = "Computational Methods in Applied Sciences",
publisher = "Springer Cham",
pages = "221--250",
editor = "Chetverushkin, {B. N.} and W. Fitzgibbon and Y.A. Kuznetsov and P. Neittaanm{\"a}ki and J. Periaux and O. Pironneau",
booktitle = "Contributions to Partial Differential Equations and Applications",
edition = "1st",
}