Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear elliptic equations and variational inequalities

W. B. Liu; John W. Barrett

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1994)

  • Volume: 28, Issue: 6, page 725-744
  • ISSN: 0764-583X

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Liu, W. B., and Barrett, John W.. "Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear elliptic equations and variational inequalities." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 28.6 (1994): 725-744. <http://eudml.org/doc/193757>.

@article{Liu1994,
author = {Liu, W. B., Barrett, John W.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {degenerate quasilinear elliptic equations; convergence; error bounds; finite element; variational inequality},
language = {eng},
number = {6},
pages = {725-744},
publisher = {Dunod},
title = {Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear elliptic equations and variational inequalities},
url = {http://eudml.org/doc/193757},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Liu, W. B.
AU - Barrett, John W.
TI - Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear elliptic equations and variational inequalities
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1994
PB - Dunod
VL - 28
IS - 6
SP - 725
EP - 744
LA - eng
KW - degenerate quasilinear elliptic equations; convergence; error bounds; finite element; variational inequality
UR - http://eudml.org/doc/193757
ER -

References

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  12. [12] R. GLOWINSKI, A. MARROCCO, 1975, Sur l'approximation par éléments finis d'ordre un, et la résolution, par pénalisation-dualite, d'une classe de problèmes de Dirichlet non linéaires, R.A.I.R.O. Analyse Numérique, 2, 41-64. Zbl0368.65053MR388811
  13. [13] W. B. LIU, J. W. BARRETT, 1993, A remark on the regulanty of the solutions of the p-Laplacian and its applications to their finite element approximation, J. Math. Anal. Appl., 178, 470-487. Zbl0799.35085MR1238889
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  15. [15] W. B. Liu, J. W. BARRETT, 1993, Higher order regularity for the solutions of some quasilinear degenerate elliptic equations in the plane, SIAM, J. Math. Anal., 24, 1522-1536. Zbl0802.35013MR1241156
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