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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: 18 September 2021

The Navier–Stokes Equations

The Navier–Stokes Equations

(p.333) 8 The Navier–Stokes Equations
Finite Elements and Fast Iterative Solvers

Howard C. Elman

David J. Silvester

Andrew J. Wathen

Oxford University Press

This chapter concerns the statement and properties of the steady Navier–Stokes equations and the corresponding weak formulation. This includes discussion of stability theory, bifurcation and nonlinear iteration. This is followed by a description of finite element discretization and error analysis of discrete solutions.

Keywords:   Navier–Stokes, stability, bifurcation, finite elements, error analysis

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