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Finite Elements and Fast Iterative Solverswith Applications in Incompressible Fluid Dynamics$
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Howard Elman, David Silvester, and Andy Wathen

Print publication date: 2014

Print ISBN-13: 9780199678792

Published to Oxford Scholarship Online: September 2014

DOI: 10.1093/acprof:oso/9780199678792.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 24 September 2021

Solution of Discrete Navier–Stokes Problems

Solution of Discrete Navier–Stokes Problems

(p.359) 9 Solution of Discrete Navier–Stokes Problems
Finite Elements and Fast Iterative Solvers

Howard C. Elman

David J. Silvester

Andrew J. Wathen

Oxford University Press

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.

Keywords:   preconditioning, boundary effects, multigrid methods, nonlinear solvers

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