FEM for quasilinear obstacle problems in bad domains

Capitanelli, Raffaela; Vivaldi, Maria Agostina

doi:10.1051/m2an/2017033

Capitanelli, Raffaela ¹ ; Vivaldi, Maria Agostina ¹

¹ Dipartimento di Scienze di Base e Applicate per l’Ingegneria, “Sapienza” Università di Roma, Via A. Scarpa 16, 00161 Roma, Italy.

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

Résumé

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.

Reçu le : 2016-12-15
Accepté le : 2017-06-19

MR Zbl

DOI : 10.1051/m2an/2017033

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

Affiliations des auteurs :

Capitanelli, Raffaela ¹ ; Vivaldi, Maria Agostina ¹

¹ Dipartimento di Scienze di Base e Applicate per l’Ingegneria, “Sapienza” Università di Roma, Via A. Scarpa 16, 00161 Roma, Italy.

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     title = {FEM for quasilinear obstacle problems in bad domains},
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     pages = {2465--2485},
     publisher = {EDP-Sciences},
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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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