Expanded mixed finite element methods for quasilinear second order elliptic problems, II

Zhangxin Chen

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1998)

  • Volume: 32, Issue: 4, page 501-520
  • ISSN: 0764-583X

How to cite

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Chen, Zhangxin. "Expanded mixed finite element methods for quasilinear second order elliptic problems, II." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 32.4 (1998): 501-520. <http://eudml.org/doc/193884>.

@article{Chen1998,
author = {Chen, Zhangxin},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {expanded mixed finite element method; error estimate; superconvergence; quasilinear second-order elliptic problem; postprocessing},
language = {eng},
number = {4},
pages = {501-520},
publisher = {Dunod},
title = {Expanded mixed finite element methods for quasilinear second order elliptic problems, II},
url = {http://eudml.org/doc/193884},
volume = {32},
year = {1998},
}

TY - JOUR
AU - Chen, Zhangxin
TI - Expanded mixed finite element methods for quasilinear second order elliptic problems, II
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1998
PB - Dunod
VL - 32
IS - 4
SP - 501
EP - 520
LA - eng
KW - expanded mixed finite element method; error estimate; superconvergence; quasilinear second-order elliptic problem; postprocessing
UR - http://eudml.org/doc/193884
ER -

References

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  3. [3] F. BREZZI, J. Jr. DOUGLAS, M. FORTIN and L. MARINI, Efficient rectangular mixed finite elements in two and three space variables, RAIRO Modèl. Math. Anal. Numér. 21 (1987), 581-604. Zbl0689.65065MR921828
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  5. [5] Z. CHEN, Expanded mixed finite element methods for linear second order elliptic problems I, IMA Preprint Series # 1219, 1994, RAIRO Modèl. Math. Anal. Numér., in press. Zbl0910.65079MR1636376
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  12. [12] D. GILBARG and N. TRUDINGER, Elliptic Partial Differential Equations of Second Order, Grundlehren der Mathematischen Wissenschaften, vol. 224, Springer-Verlag, Berlin, 1977. Zbl0361.35003MR473443
  13. [13] J. LIONS and E. MAGENES, Non-Homogeneous Boundary Value Problems and Apllications, Vol. I, Slinger-Verlag, Berlin, 1970. Zbl0223.35039
  14. [14] F. MILNER, Mixed finite element methods for quasilinear second order elliptic problems, Math. Comp. 44 (1982), 303-320. Zbl0567.65079MR777266
  15. [15] J. C. NEDELEC, Mixed finite elements in R3, Numer. Math. 35 (1980), 315-341. Zbl0419.65069MR592160
  16. [16] J. C. NEDELEC, A new family of mixed finite elements in R3, Numer. Math. 50 (1986), 57-81. Zbl0625.65107MR864305
  17. [17] P. A. RAVIART and J. M. THOMAS, A mixed finite element method for second order elliptic problems, Lecture Notes in Math. 606, Springer, Berlin, 1977, pp. 292-315. Zbl0362.65089MR483555
  18. [18] R. STENBERG, Postprocessing schemes for some mixed finite elements, RAIRO Modèl. Math. Anal. Numér. 25 (1991), 151-167. Zbl0717.65081MR1086845

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