We study obstacle problems involving the -Laplace operator in domains with fractal boundary and the corresponding pre-fractals problems. We obtain error estimates for FEM solutions based on smoothness properties.
Accepté le :
DOI : 10.1051/m2an/2017033
Mots-clés : Fractals, degenerate elliptic equations, FEM
@article{M2AN_2017__51_6_2465_0,
author = {Capitanelli, Raffaela and Vivaldi, Maria Agostina},
title = {FEM for quasilinear obstacle problems in bad domains},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {2465--2485},
publisher = {EDP-Sciences},
volume = {51},
number = {6},
year = {2017},
doi = {10.1051/m2an/2017033},
mrnumber = {3745178},
zbl = {1381.28007},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2017033/}
}
TY - JOUR AU - Capitanelli, Raffaela AU - Vivaldi, Maria Agostina TI - FEM for quasilinear obstacle problems in bad domains JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2017 SP - 2465 EP - 2485 VL - 51 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2017033/ DO - 10.1051/m2an/2017033 LA - en ID - M2AN_2017__51_6_2465_0 ER -
%0 Journal Article %A Capitanelli, Raffaela %A Vivaldi, Maria Agostina %T FEM for quasilinear obstacle problems in bad domains %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2017 %P 2465-2485 %V 51 %N 6 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2017033/ %R 10.1051/m2an/2017033 %G en %F M2AN_2017__51_6_2465_0
Capitanelli, Raffaela; Vivaldi, Maria Agostina. FEM for quasilinear obstacle problems in bad domains. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 6, pp. 2465-2485. doi : 10.1051/m2an/2017033. http://www.numdam.org/articles/10.1051/m2an/2017033/
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