Nonstandard nonconforming approximation of the stokes problem, I: Periodic boundary conditions

International Journal of Numerical Analysis and Modeling

Volumn 2, Issue 3, 2005, Pages 345-354

  Guermond, J L ^a,b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UFR 919 Laboratoire d'Informatique Pour la Mécanique et les Sciences de l'Ingénieur   (France)

Author keywords

finite elements; Incompressible flows and poisson equation; Nonconforming approximation; Stokes equations

Indexed keywords

EID: 33644519850     PISSN: 17055105     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. D. Braess. Finite Elements. Theory, Fast Solvers, and Applications in Solid Mechanics. Cam-bridge University Press, Cambridge, second edition, 1997.
2. P. Clément. Approximation by finite element functions using local regularization. RAIRO, Anal. Num., 9:77-84, 1975.
3. A. Ern and J.-L. Guermond. Theory and practice of finite elements, volume 159 of Applied Mathematical Sciences. Springer-Verlag, New York, 2004.
4. L. P. Franca and S.L. Frey. Stabilized finite element methods: II. The incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg., 99:209-233, 1992.
5. J.-L. Guermond and J. Shen. A new class of truly consistent splitting schemes for incompress-ible flows. J. Comput. Phys., 192(1):262-276, 2003.
6. G. E. Karniadakis, M. Israeli, and S.A. Orszag. High-order splitting methods for the incom-pressible Navier-Stokes equations. J. Comput. Phys., 97:414-443, 1991.
7. S. A. Orszag, M. Israeli, and M. Deville. Boundary conditions for incompressible flows. J. Sci. Comput., 1:75-111, 1986.
8. L. Tobiska and R. Verfürth. Analysis of a streamline diflusion finite element method for the Stokes and Navier-Stokes equations. SIAM J. Numer. Anal., 33(1):107-127, 1996.