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

Autor:	John N. Shadid, David J. Silvester, Raymond S. Tuminaro, Victoria E. Howle, Howard C. Elman
Rok vydání:	2008
Předmět:	Preconditioner Applied Mathematics Numerical analysis Mathematical analysis Mathematics::Analysis of PDEs Commutator (electric) Stokes flow Least squares Finite element method law.invention Physics::Fluid Dynamics Computational Mathematics Multigrid method law Navier–Stokes equations Mathematics
Zdroj:	SIAM Journal on Scientific Computing. 30:290-311
ISSN:	1095-7197 1064-8275
DOI:	10.1137/060655742
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::101a1778b6b4b37937597337d9375e20 https://doi.org/10.1137/060655742 Zobrazit plný text záznamu Plný text ve formátu PDF