Finite element subspaces with optimal rates of convergence for the stationary Stokes problem

Lois Mansfield

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1982)

  • Volume: 16, Issue: 1, page 49-66
  • ISSN: 0764-583X

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Mansfield, Lois. "Finite element subspaces with optimal rates of convergence for the stationary Stokes problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 16.1 (1982): 49-66. <http://eudml.org/doc/193390>.

@article{Mansfield1982,
author = {Mansfield, Lois},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {finite element methods; stationary Stokes problem; optimal rates of convergence},
language = {eng},
number = {1},
pages = {49-66},
publisher = {Dunod},
title = {Finite element subspaces with optimal rates of convergence for the stationary Stokes problem},
url = {http://eudml.org/doc/193390},
volume = {16},
year = {1982},
}

TY - JOUR
AU - Mansfield, Lois
TI - Finite element subspaces with optimal rates of convergence for the stationary Stokes problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1982
PB - Dunod
VL - 16
IS - 1
SP - 49
EP - 66
LA - eng
KW - finite element methods; stationary Stokes problem; optimal rates of convergence
UR - http://eudml.org/doc/193390
ER -

References

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  2. 2. G. BIRKHOFF, Tricubic polynomial interpolation, Proc. Natl Acad. Sel 68 (1971),1162-64. Zbl0242.41007MR299982
  3. 3. G. IRKHOFF and L. MANSFIELD, Compatible triangular finite éléments, J . Math. Anal Appl., 47 (1974), 531-53. Zbl0284.35021MR359353
  4. 4. J. H. BRAMBLE and M. ZLAMAL, Triangular elements in the fînite element method, Math. Comp., 24 (1970), 809-20, Zbl0226.65073MR282540
  5. 5. P. G. CIARLET and P. A. RAVIART, General Lagrange and Hermite interpolation in R n with applications to finite éléments methods, rch. Raîional Mech. Anal, 46(1972), 177-99, Zbl0243.41004MR336957
  6. 6. P. G. CIARLET and P. A. RAVIART, The combined effect of curved boundaries and numerical intergration in isoparametric finite element methods, The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, A. K. Aziz, ed. Academic Press, New York, 1972, pp. 409-74. Zbl0262.65070MR421108
  7. 7. M. CROUZEIX and P. A. RAVIART, Conforming and nonconforming finite element methods for solving the stationary Stokes equations, R.A.I.R.O., 7 (1973), 33-76. Zbl0302.65087MR343661
  8. 8. V. GIRAULT and P. A. RAVIART, Finite Element Approximation of the Navier Stokes Equations, Lecture Notes in Mathematics, vol. 749, Springer-Verlag, 1979. Zbl0413.65081MR548867
  9. 9. P. JAMET and P. A. RAVIART, Numerical solution of the stationary Navier-Stokes equations by finite element methods, Lecture Notes in Computer Science, Springer Verlag, 10, 192-223. Zbl0285.76007MR448951
  10. 10. L. MANSFIELD, Higher order compatible triangular finite elements, Numer. Math., 22 (1974), 89-97. Zbl0265.65011MR351040
  11. 11. L. MANSFIELD, Interpolation to boundary data in tetrahedra with applications to compatible finite éléments, J. Math. Anal Appl., 56 (1976), 137-64. Zbl0361.41002MR423757
  12. 12. A. H. STROUD, Approximate Calculation of Multiple Intégrais, Prentice Hall, Englewood Cliffs, N. J., 1971. Zbl0379.65013MR327006

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