Convergence of the discrete free boundaries for finite element approximations
- Volume: 17, Issue: 4, page 385-395
- ISSN: 0764-583X
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topBrezzi, 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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- [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] P G CIARLET, Fonctions de Green discretes et principe du maximum discret, Thesis Univ Paris (1971)
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- [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] J NITSCHE, « -convergence of finite element approximations, in «Mathematical Aspects of Finite Element Methods», Lecture Notes in Math 606, Springer, 1977 Zbl0362.65088MR488848
- [7] R RANNACHER, Zur -Konvergenz linearer jiniter elemente beim Dinchlet problem, Math Z 149 (1977) 69-77 Zbl0321.65055MR488859
- [8] R SCOTT, Optimal -estimates for the finite element method on irregular meshes, Math Comput 30 (1976) 681-697 Zbl0349.65060MR436617
Citations in EuDML Documents
top- Philippe Cortey-Dumont, Sur les inéquations variationnelles à opérateur non coercif
- Paola Pietra, Claudio Verdi, On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem
- Paola Pietra, Claudio Verdi, On the Convergence of the Approximate Free Boundary for the Parabolic Obstacle Problem
- Ricardo H. Nochetto, A note on the approximation of free boundaries by finite element methods
- Ronald H. W. Hoppe, Une méthode multigrille pour la solution des problèmes d'obstacle
- Claudio Verdi, Numerical methods for phase transition problems
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