Mixed finite element methods for quasilinear second order elliptic problems : the p -version

F. A. Milner; M. Suri

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1992)

  • Volume: 26, Issue: 7, page 913-931
  • ISSN: 0764-583X

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Milner, F. A., and Suri, M.. "Mixed finite element methods for quasilinear second order elliptic problems : the $p$-version." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 26.7 (1992): 913-931. <http://eudml.org/doc/193690>.

@article{Milner1992,
author = {Milner, F. A., Suri, M.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {-version; quasilinear second order elliptic problems; error estimates; -version; convergence; finite element},
language = {eng},
number = {7},
pages = {913-931},
publisher = {Dunod},
title = {Mixed finite element methods for quasilinear second order elliptic problems : the $p$-version},
url = {http://eudml.org/doc/193690},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Milner, F. A.
AU - Suri, M.
TI - Mixed finite element methods for quasilinear second order elliptic problems : the $p$-version
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1992
PB - Dunod
VL - 26
IS - 7
SP - 913
EP - 931
LA - eng
KW - -version; quasilinear second order elliptic problems; error estimates; -version; convergence; finite element
UR - http://eudml.org/doc/193690
ER -

References

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  1. [1] I. BABUSKA, I. N. KATZ and B. SZABO, The p-version of the finite element method, SIAM Num. Anal., 18 (1981), pp. 515-545. Zbl0487.65059MR615529
  2. [2] J. Jr. DOUGLAS and J. E. ROBERTS, Global estimates for mixed methods for second order elliptic equations, Math. Comp., 44 (1985), pp. 39-52. Zbl0624.65109MR771029
  3. [3] F. A. MILNER, Mixed finite element methods for quasilinear second order elliptic problems, Math. Comp., 44 (1985), pp. 303-320. Zbl0567.65079MR777266
  4. [4] A. QUARTERONI, Some results of Bernstein and Jackson type for polynomial approximation in Lp spaces, Jap. J. Appl. Math., 1 (1984), pp. 173-181. Zbl0568.41006MR839312
  5. [5] P. A. RAVIART and J. M. THOMAS, A mixed finite element method for 2nd order elliptic problems, Proceed. Conf. on Mathematical aspects of finite elements methods, Lecture notes in mathematics, vol. 606, Springer-Verlag, Berlin, 1977, pp. 292-315. Zbl0362.65089MR483555
  6. [6] M. SURI, On the stability and convergence of higher order mixed finite element methods for second order elliptic problems, Math. Comp., 54 (1990), pp. 1-19. Zbl0687.65101MR990603
  7. [7] H. TRIEBEL, Interpolation Theory, Function Spaces, Differential Operators, North Holland, Amsterdam, 1978. Zbl0387.46032MR503903

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