Free Access
| Issue |
ESAIM: M2AN
Volume 41, Number 5, September-October 2007
|
|
|---|---|---|
| Page(s) | 855 - 874 | |
| DOI | https://doi.org/10.1051/m2an:2007034 | |
| Published online | 23 October 2007 | |
- M. Bercovier and O. Pironneau, Error estimates for finite element method solution of the Stokes problem in the primitive variables. Numer. Math. 33 (1979) 211–224. [CrossRef] [MathSciNet] [Google Scholar]
- D. Braess and R. Sarazin, An efficient smoother for the Stokes problem. Appl. Numer. Math. 23 (1997) 3–19. [CrossRef] [MathSciNet] [Google Scholar]
- J.H. Bramble and S.R. Hilbert, Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. SIAM J. Numer. Anal. 7 (1970) 112–124. [Google Scholar]
- Z. Cai, J. Douglas, Jr. and X. Ye, A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations. Calcolo 36 (1999) 215–232. [CrossRef] [MathSciNet] [Google Scholar]
- Z. Cai, J. Douglas, Jr., J.E. Santos, D. Sheen and X. Ye, Nonconforming quadrilateral finite elements: a correction. Calcolo 37 (2000) 253–254. [CrossRef] [MathSciNet] [Google Scholar]
- M. Crouzeix and P.-A. Raviart, Conforming and nonconforming finite element methods for solving the stationary Stokes equations I. RAIRO. Anal. Numér. 7 (1973) 33–76. [Google Scholar]
- J. Douglas, Jr., J.E. Santos, D. Sheen and X. Ye, Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. ESAIM: M2AN 33 (1999) 747–770. [Google Scholar]
- M. Fortin, An analysis of the convergence of mixed finite element methods. RAIRO Anal. Numér. 11 (1977) 341–354. [MathSciNet] [Google Scholar]
- V. Girault and P.-A. Raviart, Finite Element Methods for Navier-Stokes equations. Springer-Verlag, Berlin-Heidelberg-New York (1986). [Google Scholar]
- H.D. Han, Nonconforming elements in the mixed finite element method. J. Comput. Math. 2 (1984) 223–233. [MathSciNet] [Google Scholar]
- J.P. Hennart, J. Jaffré and J.E. Roberts, A constructive method for deriving finite elements of nodal type. Numer. Math. 53 (1988) 701–738. [CrossRef] [MathSciNet] [Google Scholar]
- V. John, Large Eddy Simulation of Turbulent Incompressible Flows. Analytical and Numerical Results for a Class of LES Models . Lecture Notes in Computational Science and Engineering 34, Springer-Verlag, Berlin, Heidelberg, New York (2003). [Google Scholar]
- V. John and G. Matthies, Higher-order finite element discretizations in a benchmark problem for incompressible flows. Int. J. Num. Meth. Fluids 37 (2001) 885–903. [CrossRef] [Google Scholar]
- V. John and G. Matthies, MooNMD—a program package based on mapped finite element methods. Comput. Vis. Sci. 6 (2004) 163–169. [MathSciNet] [Google Scholar]
- V. John, P. Knobloch, G. Matthies and L. Tobiska, Non-nested multi-level solvers for finite element discretisations of mixed problems. Computing 68 (2002) 313–341. [CrossRef] [MathSciNet] [Google Scholar]
-
G. Matthies and L. Tobiska, The inf-sup condition for the mapped
element in arbitrary space dimensions. Computing 69 (2002) 119–139.
[CrossRef]
[MathSciNet]
[Google Scholar]
- G. Matthies and L. Tobiska, Inf-sup stable non-conforming finite elements of arbitrary order on triangles. Numer. Math. 102 (2005) 293–309. [CrossRef] [MathSciNet] [Google Scholar]
- J. Maubach and P. Rabier, Nonconforming finite elements of arbitrary degree over triangles. RANA report 0328, Technical University of Eindhoven (2003). [Google Scholar]
- R. Rannacher and S. Turek, Simple nonconforming quadrilateral Stokes element. Numer. Meth. Part. Diff. Equ. 8 (1992) 97–111. [CrossRef] [MathSciNet] [Google Scholar]
- F. Schieweck, A general transfer operator for arbitrary finite element spaces. Preprint 00-25, Fakultät für Mathematik, Otto-von-Guericke-Universität Magdeburg (2000). [Google Scholar]
- S. Vanka, Block-implicit multigrid calculation of two-dimensional recirculating flows. Comp. Meth. Appl. Mech. Engrg. 59 (1986) 29–48. [CrossRef] [Google Scholar]
- R. Verfürth, Error estimates for a mixed finite element approximation of the Stokes equations. RAIRO Anal. Numér. 18 (1984) 175–182. [MathSciNet] [Google Scholar]
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