Abstract
This paper introduces two stabilization schemes for the least squares commutator (LSC) preconditioner developed by Elman, Howie, Shadid, Shuttleworth, and Tuminaro [SIAM J. Sci. Comput., 27 (2006), pp. 16511668] for the incompressible NavierStokes equations. This preconditioning methodology is one of several choices that are effective for NavierStokes equations, and it has the advantage of being defined from strictly algebraic considerations. It has previously been limited in its applicability to divstable discretizations of the NavierStokes equations. This paper shows how to extend the same methodology to stabilized loworder mixed finite element approximation methods. © 2007 Society for Industrial and Applied Mathematics.
Original language  English 

Pages (fromto)  290311 
Number of pages  21 
Journal  SIAM Journal on Scientific Computing 
Volume  30 
Issue number  1 
DOIs  
Publication status  Published  2007 
Keywords
 Iterative algorithms
 NavierStokes
 Preconditioning
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IFISS: A software package for teaching computational mathematics
David Silvester (Participant), Howard Elman (Participant) & Alison Ramage (Participant)
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