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First-Order System Least-Squares for the Navier-Stokes EquationsThis paper develops a least-squares approach to the solution of the incompressible Navier-Stokes equations in primitive variables. As with our earlier work on Stokes equations, we recast the Navier-Stokes equations as a first-order system by introducing a velocity flux variable and associated curl and trace equations. We show that the resulting system is well-posed, and that an associated least-squares principle yields optimal discretization error estimates in the H(sup 1) norm in each variable (including the velocity flux) and optimal multigrid convergence estimates for the resulting algebraic system.
Document ID
19970006861
Acquisition Source
Langley Research Center
Document Type
Conference Paper
Authors
Bochev, P.
(Texas Univ. Arlington, TX United States)
Cai, Z.
(University of Southern California Los Angeles, CA United States)
Manteuffel, T. A.
(Colorado Univ. Boulder, CO United States)
McCormick, S. F.
(Colorado Univ. Boulder, CO United States)
Date Acquired
August 17, 2013
Publication Date
September 1, 1996
Publication Information
Publication: Seventh Copper Mountain Conference on Multigrid Methods
Issue: Part 1
Subject Category
Numerical Analysis
Accession Number
97N13754
Funding Number(s)
CONTRACT_GRANT: NSF-DMS-8704169
CONTRACT_GRANT: DE-FG03-93ER-25165
CONTRACT_GRANT: AF-AFOSR-91-0156
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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