Convergence of the discrete free boundaries for finite element approximations

F. Brezzi; L. A. Caffarelli

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1983)

  • Volume: 17, Issue: 4, page 385-395
  • ISSN: 0764-583X

How to cite

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Brezzi, F., and Caffarelli, L. A.. "Convergence of the discrete free boundaries for finite element approximations." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 17.4 (1983): 385-395. <http://eudml.org/doc/193422>.

@article{Brezzi1983,
author = {Brezzi, F., Caffarelli, L. A.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {eng},
number = {4},
pages = {385-395},
publisher = {Dunod},
title = {Convergence of the discrete free boundaries for finite element approximations},
url = {http://eudml.org/doc/193422},
volume = {17},
year = {1983},
}

TY - JOUR
AU - Brezzi, F.
AU - Caffarelli, L. A.
TI - Convergence of the discrete free boundaries for finite element approximations
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1983
PB - Dunod
VL - 17
IS - 4
SP - 385
EP - 395
LA - eng
UR - http://eudml.org/doc/193422
ER -

References

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  1. [1] C BAIOCCHI, « Estimations d’erreur dans L pour les inéquations à obstacle » in « Mathematica! Aspects of Finite Element Methods », Lecture Notes in Math 606, Springer, 1977 Zbl0374.65053MR488847
  2. [2] L A CAFFARELI, A remark on the Hausdorff measure of afree boundary, and the convergence of coincidence sets , Bollettino U M I (5) 18 A (1981) 109-113 Zbl0453.35085MR607212
  3. [3] P G CIARLET, Fonctions de Green discretes et principe du maximum discret, Thesis Univ Paris (1971) 
  4. [3] P G CIARLET, The finite Element Methods for Elhptic Problems, North-Holland (1978) Zbl0999.65129MR1115235
  5. [5] P G CIARLET, P-A RAVIART, Maximum principle and uniform convergence for the finite element method, Comput Math Appl Mech Engrg 2 (1973) 17-31 Zbl0251.65069MR375802
  6. [6] J NITSCHE, « L -convergence of finite element approximations, in «Mathematical Aspects of Finite Element Methods», Lecture Notes in Math 606, Springer, 1977 Zbl0362.65088MR488848
  7. [7] R RANNACHER, Zur L -Konvergenz linearer jiniter elemente beim Dinchlet problem, Math Z 149 (1977) 69-77 Zbl0321.65055MR488859
  8. [8] R SCOTT, Optimal L -estimates for the finite element method on irregular meshes, Math Comput 30 (1976) 681-697 Zbl0349.65060MR436617

Citations in EuDML Documents

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  1. Philippe Cortey-Dumont, Sur les inéquations variationnelles à opérateur non coercif
  2. Paola Pietra, Claudio Verdi, On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem
  3. Paola Pietra, Claudio Verdi, On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem
  4. Ricardo H. Nochetto, A note on the approximation of free boundaries by finite element methods
  5. Ronald H. W. Hoppe, Une méthode multigrille pour la solution des problèmes d'obstacle
  6. Claudio Verdi, Numerical methods for phase transition problems

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