FEM for quasilinear obstacle problems in bad domains

Capitanelli, Raffaela; Vivaldi, Maria Agostina

ESAIM: Mathematical Modelling and Numerical Analysis , Tome 51 (2017) no. 6, pp. 2465-2485.

We study obstacle problems involving the $p$-Laplace operator in domains with fractal boundary and the corresponding pre-fractals problems. We obtain error estimates for FEM solutions based on smoothness properties.

Classification : 28A80, 35J70, 65N30
Mots clés : Fractals, degenerate elliptic equations, FEM

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