Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations
Least Squares Preconditioners for Stabilized Discretizations of the Navier-Stokes Equations
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Date
2006-04-20T16:09:59Z
Authors
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.