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    Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations

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    Date
    2006-04-20
    Author
    Elman, Howard
    Howle, Victoria E.
    Shadid, John
    Silvester, David
    Tuminaro, Ray
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    Abstract
    This paper introduces two stabilization schemes for the Least Squares Commutator (LSC) preconditioner developed by Elman, Howle, Shadid, Shuttleworth and Tuminaro [SIAM J. Sci. Comput., 27, 2006, pp. 1651--1668] for the incompressible Navier-Stokes equations. This preconditioning methodology is one of several choices that are effective for Navier-Stokes equations, and it has the advantage of being defined from strictly algebraic considerations. It has previously been limited in its applicability to div-stable discretizations of the Navier-Stokes equations. This paper shows how to extend the same methodology to stabilized low-order mixed finite element approximation methods.
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    http://hdl.handle.net/1903/3334
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