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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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The Stokes equations

The Stokes equations

Chapter:
(p.119) 3 The Stokes equations
Source:
Finite Elements and Fast Iterative Solvers
Author(s):

A. M. Stuart

E. Söli

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199678792.003.0004

This chapter concerns the statement of the Stokes equations, a model of incompressible flows. It presents the weak formulation. This is followed by a description of finite element discretization and properties of the discrete problem. It includes discussion of inf–sup stability of both the continuous and discrete problems.

Keywords:   Stokes equations, finite elements, error bounds, inf-sup stability

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