This chapter concerns iterative methods for solution of the discrete Navier–Stokes equations. The emphasis is on preconditioning methods tailored to the structure of the linearized differential equations and the impact of boundary conditions on derivation of methods. These ideas are combined with multigrid methods and algorithms for nonlinear iteration.
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%0 Book Section
%1 elman2014solution
%A Elman, Howard C.
%A Silvester, David J.
%A Wathen, Andrew J.
%B Numerical Mathematics and Scientific Computation
%D 2014
%I Oxford University Press
%K 65f08-preconditioners-for-iterative-methods 65f10-iterative-methods-for-linear-systems 65n22-pdes-bvps-solution-of-discretized-equations 65n55-pdes-bvps-multigrid-methods-domain-decomposition 76d05-incompressible-navier-stokes-equations
%R 10.1093/acprof:oso/9780199678792.003.0010
%T Solution of discrete Navier–Stokes problems
%U https://www.oxfordscholarship.com/view/10.1093/acprof:oso/9780199678792.001.0001/acprof-9780199678792-chapter-10
%X This chapter concerns iterative methods for solution of the discrete Navier–Stokes equations. The emphasis is on preconditioning methods tailored to the structure of the linearized differential equations and the impact of boundary conditions on derivation of methods. These ideas are combined with multigrid methods and algorithms for nonlinear iteration.
%7 Second
%& 9
@inbook{elman2014solution,
abstract = {This chapter concerns iterative methods for solution of the discrete Navier–Stokes equations. The emphasis is on preconditioning methods tailored to the structure of the linearized differential equations and the impact of boundary conditions on derivation of methods. These ideas are combined with multigrid methods and algorithms for nonlinear iteration.},
added-at = {2019-04-30T01:59:44.000+0200},
author = {Elman, Howard C. and Silvester, David J. and Wathen, Andrew J.},
biburl = {https://www.bibsonomy.org/bibtex/2b15074eca717ac69493854efdd8a15e0/gdmcbain},
chapter = 9,
doi = {10.1093/acprof:oso/9780199678792.003.0010},
edition = {Second},
interhash = {49b9a1bc4df95b2a4cdaa167044b77c4},
intrahash = {b15074eca717ac69493854efdd8a15e0},
keywords = {65f08-preconditioners-for-iterative-methods 65f10-iterative-methods-for-linear-systems 65n22-pdes-bvps-solution-of-discretized-equations 65n55-pdes-bvps-multigrid-methods-domain-decomposition 76d05-incompressible-navier-stokes-equations},
publisher = {Oxford University Press},
series = {Numerical Mathematics and Scientific Computation},
timestamp = {2019-04-30T01:59:44.000+0200},
title = {Solution of discrete Navier–Stokes problems},
url = {https://www.oxfordscholarship.com/view/10.1093/acprof:oso/9780199678792.001.0001/acprof-9780199678792-chapter-10},
year = 2014
}